Free Essay

Tree

In:

Submitted By DiaGNoSe
Words 932
Pages 4
Read problem the problem below * Assign a variable to each type of rocker Ozark Furniture makes. * Write a linear inequality which incorporates the given information of total board feet and the board feet required for each type of rocker. * On scratch paper draw a graph of the inequality so that you have this visual to go by as you discuss the graph in your writing. A scanned copy of this graph may be attached with your essay, but is not required.
Write a two to three page paper that is formatted in APA style and according to the. Format your math work as shown in the Instructor Guidance and be concise in your reasoning. In the body of your essay, please make sure to include an introduction, conclusion, as well as the following: * Your solution to the above problem, making sure to include all mathematical work. * A discussion on what this graph looks like. Include information about the intercepts, the type of line needed, direction of the line, and region(s) shaded to fulfill the inequality. Any details which are pertinent to know about the graph should be mentioned. * An application of the findings in this graph. For example, pick a point in the shaded area and give its coordinates, and then discuss what those numbers mean in terms of rockers and board feet of lumber. Pick a point outside of the shaded area and do the same thing. Pick a point right on the line and discuss the same details. Be specific. * An evaluation of the following: A chain furniture store faxes an order for 175 modern rocking chairs and 125 classic rocking chairs. Will Ozark Furniture be able to fill this order with the current lumber on hand? If yes, how much lumber will they have left? If no, how much more lumber would they need to fill the order?

Maple rockers. Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can be made, and graph the inequality in the first quadrant.

Here is an example of a problem very similar to the one assigned
2-Variable Inequality
Catskills Hammock Company can obtain at most 2000 yards of striped canvas for making its full size and chair size hammocks. A full size hammock requires 10 yards of canvas and the chair size requires 5 yards of canvas. Write an inequality that limits the number of striped hammocks of each type which can be made.
(b) First I must define what variables I will be using in my inequality. Let f = the number of full size hammocks Let c = the number of chair size hammocks
Since each full size hammock requires 10 yards of canvas I will use 10f, and since each chair hammock requires 5 yards of canvas I will use 5c. The total amount of canvas which can be used is limited to 2000 yards because that is all they can get. Together my inequality will look like this: 10f + 5c ≤ 2000
(d) If we call f the independent variable (on the horizontal axis) and c the dependent variable (on the vertical axis) then we can graph the equation using the intercepts.
The f-intercept is found when c = 0: 10f ≤ 2000 f ≤ 200 The f-intercept is (200, 0). The c-intercept is found when f = 0: 5c ≤ 2000 c ≤ 400 The c-intercept is (0, 400). Because this is a “less than or equal to” inequality the line will be solid, sloping downward as it moves from left to right. The region of the graph which is relevant to this problem is restricted to the first quadrant, so the shaded section is from the line towards the origin and stops at the two axes.
(e) Consider the point (105, 175) on my graph. It is inside the shaded area which means the company could fill an order of 105 full size hammocks and 175 chair hammocks. If they made up this many items they would use 105(10) + 175(5) = 1925 yards of striped canvas and have 75 yards left over.
Consider the point (150, 125) on the graph. It is outside the shaded area which means the company could not make up enough of both kinds of hammocks to fill this order. They would run out of canvas before all of them got made. 150(10) + 125(5) = 2125 yards of canvas required. Cannot fill the order.
Consider the point (75, 250). This point is right on the line and this means the company could fulfill this order exactly without any canvas left over. 75(10) + 250(5) = 2000 Order is filled but no room for mistakes!
(f) If someone calls and submits an order for 120 full size hammocks and 180 chair hammocks would the company be able to fill this order? On the graph one can see that this point (120, 180) is outside of the shaded area so this tells us that no, the company cannot make enough striped hammocks to fill this order. By plugging in the numbers for each type of hammock and evaluating we can see how much short of enough canvas the company is. 120(10) + 180(5) = 1200 + 900 = 2100 yards of canvas needed. The company is 100 yards of canvas short of being able to fill this order.

Similar Documents

Free Essay

Tree

...There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name was greg. There once was a tree and its name...

Words: 1501 - Pages: 7

Premium Essay

Tree

...a hill in the woods. They were discussing their hopes and dreams when the first tree said, "Someday I hope to be a treasure chest. I could be filled with gold, silver and precious gems. I could be decorated with intricate carving and everyone would see the beauity". The second tree said, "Someday I will be a mighty ship. I will take Kings and Queens across the waters and sail to the corners of the world. Everyone will feel safe in me because of the strength of my hull". Finally, the third tree said, "I want to grow to be the tallest and straightest tree in the forest. People will see me on top of the hill and look up to my branches, and think of the heavens and God and how close to them I am reaching. I will be the greatest tree of all time and people will always remember me". After a few years of praying that their dreams would come true, a group of woodsmen came upon the trees. When one came to the first tree he said, "This looks like s strong tree, I think I should be able to sell the wood to a carpenter".... and he began cutting it down. The tree was happy. because he knew that the carpenter would make him into a treasure chest. At the second tree a woodsman said, "This looks like a strong tree, I should be able to sell it to the shipyard." The second tree was happy because he knew he was on his way to becoming a mighty ship. When the woodsmen came upon the third tree, the tree was frigtened because he knew that if they cut him down his dreams would not come...

Words: 704 - Pages: 3

Free Essay

Tree

...When Trees start out in the wild, their life begins in an area where that type of tree is adapted to and tolerant of the conditions of that particular site. As the trees mature, the site conditions may change. People may modify the land by building houses or office buildings. The building of these structures most times take away an assortment of brush and small plants, thus altering the natural landscape.. Some trees are tolerant of these man made conditions like Oaks and Elms. The types that are not tolerant and cannot adapt only have one choice, and that is too die. (9) Another situation that may occur is the planting of young trees in an urban site. At this young age, it allows its self to become more tolerant to an environment. But, sometimes this tolerance level is not taken into consideration. Trees may be picked just because of their color or size only. This may not be the best situation, and the tree usually dies. In that case, there will be another chance to put a more tolerant tree in that area. The trees that do survive in this condition are in so much shock after being taken out of its tolerant environment, and being put in a none tolerant environment, that their limits are being pushed to the edge. When this happens, the result will be poor performance, and a non-attractive tree. These trees that are not at their peak condition are more prone to contract diseases and attract unwanted visiting insects. The trees that have problems with diseases and insects need...

Words: 338 - Pages: 2

Free Essay

Tree Planting

...Training Program Civic Welfare Training Services “CAPSULE PROJECT PROPOSAL 1” Title: Tree Planting Activity Theme: “Kabataan Sagip Kalikasan” Proponent: BSMT 11–A2 Duration: 22nd of December 2015 (1400H-1600H) Venue: Brgy. Alos (Alaminos City, Pangasinan) OBJECTIVES: * To help fight global warming and combat air pollution. * To make the world a better place for the next generation. * To make the surroundings green, pleasant to look at, and to have a fresh air. * To help save the earth from constant illegal logging. * To lessen mother earth’s distress. BENEFICIARIES: The next generation and future leaders. More specifically, the community of Alaminos City, Pangasinan. COST: Materials | Quantity | Price | Total Price | Seedlings | 100 pcs. | ₱ 15.00 | ₱ 1,500.00 | Garden Trowel | 50 pcs. | ₱ 50.00 | ₱ 2,500.00 | Pail | 3 pcs. | ₱ 100.00 | ₱ 300.00 | 5 Gallon Water | 1 jug | ₱ 40.00 | ₱ 40.00 | Paper Cups | 1 Pack | ₱ 55.00 | ₱ 55.00 | OVERALL TOTAL: ₱ 4, 395.00 | PROCEDURE OF OPERATION: DATE & TIME | ACTIVITY | DESCRIPTION | November 13-15, 2015 | Permission and Approval | Ask the permission and approval of Barangay Officials to conduct the said activity on the said date. | November 16,2015 - December 16, 2015 | 1 Month Recruitment | Encourage atleast 50 youth volunteers to participate in the tree planting activity. Through social media. | December 17-20, 2015 | Fund Collection | Solicitation...

Words: 764 - Pages: 4

Free Essay

Word Tree

...There is a tall, rooted cherry blossom tree nearby a beautiful stream of running water in a small remote village in Vietnam. It has been there since 1992. A Vietnamese lady planted the tree dedicating it as a reminiscent to her deceased daughter. This tree she planted developed over the years. It grew more and more each year. It started as a little seed to an eight-foot tree. The branches grew to be so long that it wept to where it barely touched the water. The branches bundled with white cherry blossoms blooming everywhere. The tree beamed brightly no matter if it was day or night. The tree was the most beautiful tree in the entire village for the next 12 years. In 2004, a catastrophe had hit this remote village. A never-ending storm had hit the coast of Vietnam. Rolling sounds of thunder and streams of rain continuously occurred every day. It was soon devoured by the gusting wind blowing away all of the little cherry blossoms. It blew away the life and ambiance the tree once had. Not too long after this storm had chaos broke out in the village where a westernized country tried to take over the village. Battles occurred everywhere in the village with the echo of firearms and weapons reverberating ever minute. Not too soon did battles occur where this tree was. The battle left almost all of the tree’s branches to be broken and discarded. After these incidents the tree no longer intensified and illuminated like how it used to be. The tree had lost its life, intensity, and stability...

Words: 626 - Pages: 3

Premium Essay

The Giving Tree

...branches and carried them away to build his house. And the tree was happy. But the boy stayed away for a long time. And when he came back, the tree was so happy she could hardly speak. "Come, Boy," she whispered, "come and play." "I am too old and sad to play," said the boy. "I want a boat that will take me far away from here. Can you give me a boat?" "Cut down my trunk and make a boat," said the tree. "Then you can sail away... and be happy." And so the boy cut down her trunk and made a boat and sailed away. And the tree was happy ... but not really. And after a long time the boy came back again. "I am sorry, Boy," said the tree," but I have nothing left to give you - My apples are gone." "My teeth are too weak for apples," said the boy. "My branches are gone," said the tree. " You cannot swing on them - " "I am too old to swing on branches," said the boy. "My trunk is gone, " said the tree. "You cannot climb - " "I am too tired to climb" said the boy. "I am sorry," sighed the tree. "I wish that I could give you something.... but I have nothing left. I am just an old stump. I am sorry...." "I don't need very much now," said the boy. "just a quiet place to sit and rest. I am very tired." "Well," said the tree, straightening herself up as much as she could, "well, an old stump is good for sitting and resting Come, Boy, sit down. Sit down and rest." And the boy did. And the tree was...

Words: 301 - Pages: 2

Premium Essay

Almon The Keeper Of The Tree Of Life Tree Quotes

...I would like to send you MAGNOLIA'S TREE, a middle grade fantasy novel told in third person complete at 83,000 words. From Magnolia's view she is thrust into an adventure to help the Fae save the world, while trying to find her missing father. Using her strengths and knowledge she overcomes her fears and even meets some new friends on exciting adventure. The tree in her front yard was planted for her on her fifth birthday. However, Magnolia though it was just because it was a Magnolia tree that it seemed to glow and have a heartbeat. Then when she is mysteriously transported to another realm of the Fae she realizes that the tree is actually the Tree of Life and it is dying. She is tasked, by Almon the keeper of the Tree of Life, to help find the reason for the trees' failing health, when she finds out that Almon may know where her father is. While she is searching for the answers along with searching for her father who might be kept hostage by Almon, a fae who may not be so good, she meets Oacenth Prince of the Fae. Almon tries to make Magnolia believe that Oacenth is behind the tree dying, but Magnolia sees something in him that makes...

Words: 655 - Pages: 3

Premium Essay

Decision Tree

...Decision Trees The Decision Tree module in Excel OM (and in POM for Windows) acts differently than all other modules because rather than creating a table of data it creates a graphical tree. We will use Example 3 in Chapter A5 from Heizer & Render’s Operations Management textbook for our example. After selecting the Decision Tree Module the screen will appear as in Figure 1 below. Figure 1: The Initial Decision Tree Screen Notice the Decision Tree Creation Window on the right. This is used to perform all of the work of constructing the tree. The initial screen has 1 starting node (Node 1) which can be seen in cell A6. The first step is to add branches from this node. The default setting is to Add 2 Decision branches. The type of branch is selected by the choice of “Add” buttons that is selected and the number of branches is selected by the textbox/scrollbar combination. For this example, there are three options – Purchase CAD, Hire Engineers or Do Nothing. Therefore we will change the number of branches to 3 and click on the “Add Decisions” button. This yields the screen as displayed in Figure 2. Decision Trees.doc Page 1 of 7 Figure 2: The First Three Branches At this point the data can be entered into the shaded green cells. For decision branches, the data consists of the name of the branch and possibly a profit or cost. If the branch is at the end of the tree then the profit gets entered. If the branch is not at the end then any intermediate profits or costs...

Words: 1184 - Pages: 5

Premium Essay

Decesion Tree

...Let’s suppose the prediction for the sales demand that Ann Queen derived from other comparable events is accurate. It is relatively easy to figure out the possible DVDs that can be sold with expected probability if we draw a decision tree. From the above tree graph, we can tell that the total possibility to sell 4000 DVDs in Saturday and Sunday is 25%. If Ann Queen’s expectation about the possibility of DVD sold is accurate and nothing new information will be available after Friday’s and Saturday’s performance, we can calculate expected numbers of DVD that should be produced based on numbers of DVDs that expected to be sold. Because we do not want to over produce DVDs than we can sell. We want to produce exactly the same number of DVDs as what we can sell. Under this philosophy, since we can calculate the numbers of DVDs that expected to be sold is 3500. The number of DVDs that we need to produce is also 3500, which we believe can maximize our expected monetary value. Suppose Ann Queen decided to produce 3500 DVDs. We can calculate the EMV to be: 0.5*[2000*(14-3)-3500*3]+0.25[3500*(14-6)]+0.25*[3500*(14-6)]-15000=$4750 If for some reason Ann Queen can get exclusive information about how many DVDs she can sell exactly on Saturday and Sunday, I will suggest her to produce exact number of DVDs that can be sold without any over production. In this case, we have four scenarios to calculate profits: First scenario: Saturday 1000 and Sunday 1000 Total profit: 2000x8-15000=$1000 ...

Words: 555 - Pages: 3

Premium Essay

Tree Decision

...Value of Information in Decision Trees 19 19.1 VALUE OF INFORMATION Useful concept for Evaluating potential information-gathering activities Comparing importance of multiple uncertainties 19.2 EXPECTED VALUE OF PERFECT INFORMATION Several computational methods Flipping tree, moving an event set of branches, appropriate for any decision tree Payoff table, most appropriate only for single-stage tree (one set of uncertain outcomes with no subsequent decisions) Expected improvement All three methods start by determining Expected Value Under Uncertainty, EVUU, which is the expected value of the optimal strategy without any additional information. To use these methods, you need (a) a model of your decision problem under uncertainty with payoffs and probabilities and (b) a willingness to summarize a payoff distribution (payoffs with associated probabilities) using expected value. The methods can be modified to use certain equivalents for a decision maker who is not risk neutral. 224 Chapter 19 Value of Information in Decision Trees Expected Value of Perfect Information, Reordered Tree Figure 19.1 Structure, Cash Flows, Endpoint Values, and Probabilities 0.5 High Sales $400,000 $700,000 0.3 Medium Sales $100,000 -$300,000 $400,000 0.2 Low Sales 1 $100,000 -$200,000 Introduce Product Don't Introduce $0 $0 Figure 19.2 Rollback Expected Values 0.5 High Sales $400,000 Introduce Product $190,000 0.3 Medium Sales $100,000 0.2 Low Sales 1 $190,000 -$200...

Words: 2788 - Pages: 12

Premium Essay

Personal Essay: The Joshua Tree

...vegetative spectacle; and the rock climber shouts “Yowch!” when poked by dagger-like spines on the way to the 5.10 climbing route. Known as the park namesake, the Joshua tree, Yucca brevifolia, is a member of the Agave family. (Until recently, it was considered a giant member of the Lily family, but DNA studies led to the division of that formerly huge family into 40 distinct plant families.) Like the California fan palm, Washingtonia filifera, the Joshua tree is a monocot, in the...

Words: 883 - Pages: 4

Premium Essay

Redwood Tree Research Paper

...Consider the redwood tree for a long moment. The tree that holds an ancient background. Dating back to same time as the dinosaurs. The humongous coniferous tree lined with reddish brown bark that is defiant to pests, rot, and fire. Its breathtaking beauty defines the concept of time. All of which started from a seedling no bigger than the size of your pinky fingernail. Growing an impressive 2-5 feet per year and their large canopy of leaves towering over you, making you feel the size of an ant. The redwood tree typically lives to be thousands of years old. If it was possible to guarantee a human at least 100 years on earth, you would have to spend 10 to 20 lifetimes on earth in order to compare to just one lifetime of the redwood tree. Imagining...

Words: 764 - Pages: 4

Premium Essay

Basswood Tree Research Paper

...Introduction The American Basswood tree, Tilia americana, has become a staple in both urban and forested areas from Missouri to Maine. Also referred to as the American Linden, the tree has both historical and ecological significance. In the Northeast, Native Americans used the fibrous Basswood for rope, mats, nets, and baskets. The sap of the tree as well as the leaves and cambium were consumed in various ways. The Iroquois in particular used the bark of the tree for bandages and other medicinal purposes (Nesom, 2003). Ecologically, the tree provides ample resources for birds and other animals, especially during winter. Decaying older trees function as autogenic engineers by providing habitats for cavity-nesting animals. Basswoods also enrich...

Words: 1608 - Pages: 7

Premium Essay

Merck Decision Tree

...-100,000,000 #NAME? #NAME? Test Merck Decision Tree Although a decision analysis would recommend that Merck not commit to the proposal, the company's balance sheet shows that it has significant assets to support a loss. The projected values of earning for depression and dual indications seem to be worth the risk. Weightloss does not. Not Effective 15.0% 0 Phase III: Long Term Efficacy Testing #NAME? 25.0% 0 #NAME? #NAME? Obesity Don't Test #NAME? 0 #NAME? #NAME? Dual Indications 50.0% -400,000,000 #NAME? #NAME? #NAME? #NAME? Depression: effective #NAME? 0 Indications #NAME? 15.0% -250,000,000 Conduct Depression: not effective 10.0% 0 #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME? Obesity: effective 5.0% -100,000,000 Obesiity: not effective 10.0% 0 Complete Failure 70.0% -$500,000,000.00 Phase 4: Additional Trials #NAME? 10.0% 0 Effective Do not conduct #NAME? 0 #NAME? #NAME? 0 #NAME? #NAME? Test Not Effective 5.0% 0 Phase III: Long Term Efficacy Testing #NAME? 30.0% 0 #NAME? #NAME? Both Don't Test 70.0% 0 #NAME? #NAME? #NAME? 0 #NAME? #NAME? Neither 60.0% 0 Phase II Efficacy Testing #NAME? Don't Test #NAME? -$30,000,000.00 Phase 1: Efficacy testing #NAME? #NAME? 0 #NAME? #NAME? Pass Test Fail Preclinical Analysis Test #NAME? 40.0% 0 #NAME? #NAME? Davanrik Licensing Decision Tree Cost Testing costs Launch Costs Total Projected value...

Words: 354 - Pages: 2

Premium Essay

Redback Tree Services Case Study

...safety hazards sometimes it becomes necessary to remove them. It could be the whole tree or just a part. However this process is not as easy as it may sound as a huge amount of labour and risk is involved. If you are looking for someone to do tree removal on your behalf given the risk and level of expertise, you have come to the right place. Redback tree services is a tree removal company specifically prepared to handle your trees and stumps These are professional arborists that deal with any kind of tree care. To achieve quality services to clients, they go beyond just tree care. Above other values, safety comes first: for...

Words: 546 - Pages: 3