Premium Essay

Assignment 4

In:

Submitted By mchelle
Words 345
Pages 2
Michelle D. Griner
MAT540 – Professor Johnson
Strayer University

Formulate a linear programming model for Julia that will help you to advise her if she should lease the booth. Formulate the model for the first home game. Explain how you derived the profit function and constraints and show any calculations that allow you to arrive at those equations.
Let, X1 =No of pizza slices,
X2 =No of hot dogs,
X3 = No of barbeque sandwiches

Objective function co-efficient:
The objective is to maximize total profit. Profit is calculated for each variable by subtracting cost from the selling price.
For Pizza slice, Cost/slice=$4.5/6=$0.75

| X1 | X2 | X3 | SP | $1.50 | $1.60 | $2.25 | -Cost | $0.75 | $0.50 | $1.00 | Profit | $0.75 | $1.10 | $1.25 |

Maximize Total profit Z = $0.75X1 + 1.10X2 +1.25X3

* Constraints:

1. Budget constraint:
0.75X1 + 0.50X2 + 1.00X3 ≤ $1500

2. Space constraint:

Total space available = 3*4*16=192 sq feet =192*12*12=27,648 sq. in.
The oven will be refilled during half time.
Thus, the total space available = 2*27,648 = 55,296 sq. in.

Space required for a pizza = 14*14 = 196 sq. in.
Space required for a slice of pizza = 196/6 = 32.667 sq. in. approximately.
Thus, space constraint can be written as:

33X1 + 16X2 +25X3 ≤ 55,296 (sp. in of oven space)
3. at least as many slices of pizza as hot dogs and barbeque sandwiches combined
X1 ≥ X2 + X3 (at least as many slices of pizza as hot dogs and barbeque sandwiches combined) 4. at least twice as many hot dogs as barbeque sandwiches
X2/X3 ≥ 2.0 (at least twice as many hot dogs as barbeque sandwiches)

This constraint can be rewritten as:
X2 - 2X3 ≥ 0
X1, X2, X3 ≥ 0

Model:
Maximize total profit Z = $0.75X1 + 1.10X2 + $1.25X3
Subject to:
Total Budget ≤ 1500
0.75+1.10+1.25 ≤ 1500 total budget
Sq. in of oven space ≤ 55,296
32.67X1 + 16X2 +

Similar Documents

Free Essay

Mobile Service Provider

...the value of the argument. Example:- If a=5 then +a means 5 If a=0 then +a means 0. If a=-4 then +a means -4. Ternary operator:- It precedes an operand. The operand of the unary operator must have arithmetic type and the result is the negation of the operand’s value. Example:- If a=5 then –a means -5 If a=0 then –a means 0 If a=-4 then –a means 4. (b) Assignment and equalto operator Assignment operator:- Equal to operator: An assignment operator assigns value In this we put the To a variable. value as it is. Example – Example- a*=5 means a=5*5. Int a; a=5 means a is initialized with 5 if(a==5) { return true; } return false; (c) Expression and statement Expression:- An expression is any valid combination of operators , constants , and variables. Example:- for(i=0;i=10&&qual==1) sal=15000; else if((g==’m’&&yos>=10&&qual==0)||(g==’m’&&yos=10&&qual=0) sal=9000; else if(g==’f’&&yos25) printf(“driver is insured”); else printf(“driver is not insured”); }}} 4. Ans:- 5. Ans:- #include #include void main() { int...

Words: 399 - Pages: 2

Premium Essay

Student

...answers that are copies or near verbatim transcripts – please use your own words1 and document sources where appropriate. 1 This will apply to all assignments in this class. Answer the following questions: Chapter 2 1. Short Answers [1 point each, 2 points total] 1. What does a professional programmer usually do first to gain an understanding of a problem? The first thing that a professional programmer usually do first to gain an understanding of a program is to closely relate customer (Interview ) to inquire or gather information about the problem. 2. What two things must you normally specify in a variable declaration? The two things normally specified in a variable declaration are the variable type and identifier. 2. Algorithms / Pseudocode [1 point each, 5 points total] 1. Design an algorithm that prompts the user to enter his or her height and stores the user’s input in a variable named height. Declare height Display “Enter Your Height” Input Height Display “Height” 2. Write assignment statements that perform the following operations with the variables a and b. - Adds 2 to a and stores the result in b. - Subtracts 8 from b and stores the result in a Set b=2+a Set a=b-8 3. Write a pseudocode statement that declares the variable cost so it can hold real numbers. Floating Point-Variable 4. Write a pseudocode statement that assigns the value 27 to the variable count. Count:=27 5. If the following pseudocode were an actual program, what...

Words: 1823 - Pages: 8

Premium Essay

Week 2 Assigment

...Week 2 Assignment: Understanding Effective Money Management Assessment A, Part 1: Creating a Personal Financial Statement - Assets | 1 point | Car: Bluebook value $1250.00Cash: $378.00Savings Accounts: $826.00 | Assessment A, Part 2: Creating a Personal Financial Statement - Debts | 1 point | Rent: $750.00Electric/ Gas bill: $131.75Cable/ internet/ Phone bill: $80.42Credit Card: $31.00Cell phone bill: $72.37 | Assessment A, Part 3: Identify Money Management Tool | 1 point | Explain to Monica how the money management tools were identified. | Students should explain how they evaluated various cash management products and services. | Assessment A, Part 4: Creating a Personal Financial Statement – Steps | 1 point | Drag the steps listed on the right into their correct sequences on the left. When done click the Send button | Step 1: I got all my financial stuff together – bills, loans, bank statements, etc. | Step 2: I balance my checkbook. | Step 3: I decided what were my assets and what were my debts. | Step 4: I enter my assets in the program. | Step 5: I enter my debts in the program. | Step 6: The program gave me a Net worth figure at the end. | Assessment B: Creating a Monthly Cash Flow Statement ...

Words: 255 - Pages: 2

Premium Essay

Andy Owes Bill a Debt.

...Written Assignment 3 Case Study 1 Parks, a 7-foot, 265-pound center for the San Diego Slick, objected when his contract was assigned from the ABC Corporation to the XYZ Corporation, the team’s new owner. The change of owners did not cause a change in the composition of the team although a new coach was hired. Parks’s compensation and his responsibilities remained the same. Was this contract assignable? Facts of the Case: 1) Parks contract was assigned from the ABC Corporation to XYZ Corporation. 2) Parks compensation and his responsibilities remained the same. Issues: 1) The reason why we are in court today is to identify if Park’s contract was assignable. Rules of the Law: 1) Personal Service Contract – The parties agree that a personal service contract may be assigned. This allows the trade of an athlete from one team to another team. 2) Notice of Assignment – Assignee is under a duty to notify the obligor that the assignment has been made and performance must be rendered to the assignee. 3) Anti-Assignment Clause – Prohibits the assignment of rights under the contract. 4) Approval Clause – requires that the obligor approves any assignment of contract. Analysis & Conclusion: Since we do not have all the facts we can assume the following: 1) Parks contract did include the Personal service contract. 2) Notice of assignment was made by XYZ Corporation. 3) Parks contract did NOT include Anti-Assignment Clause. 4) Parks...

Words: 495 - Pages: 2

Free Essay

Study Habits

...STUDY HABITS OF SECOND YEAR BS-AVTECH STUDENTS OF PATTS COLLEGE OF AERONAUTICS S.Y 2013-2014 An Undergraduate Research Presented to The Languages Department of PATTS College of Aeronautics In Partial Fulfillment of the Requirements for the course ENGL 211 – Technical Report Writing By Guevarra, Giorgio Martin C Guevarra, Lorenzo Miguel Jang, Jose, Yosalina, Leo Xander March 2014 ACKNOWLEDGEMENT The researcher would like to express our thanks to the lord. Our God for his guidance towards everything we do In life, including this study that we had made, and for being an inspiration for us all to do our best in life. We give our thanks to Ms. Karen M. Millano, our adviser for ENGL 211, for carefully and patiently guiding us so that we may finish the thesis research, and for supporting us and believing in us, that we can accomplish our task finishing the thesis. To the respondents of this study, we express our gratitude because without them, this thesis research would not have been completed, we thank them for allowing us to conduct a survey during their spare time, and their patience and integrity in answering the survey. To our parents, for their support and everlasting patience and understanding for us. And lastly to our classmates, since they have been with us since the beginning of the semester and they had been our companions in everything we do for the subject ENGL 211. ABSTRACT STUDY HABITS OF...

Words: 413 - Pages: 2

Free Essay

Management Accounting

...Management Accounting Individual Assignment 1. Variable manufacturing cost per unit = (323,000,000-160,000,000-24,000,000-100,000,000) 850,000 = $45.88 per unit Fixed manufacturing cost per unit = $100,000,000 850,000units = $117.65 per unit Total manufacturing cost per unit= 45.88+117.65 = $163.53per unit 2. Fixed overhead rate= $100,000,000 800,000units =$125 per unit Production volume variance= (850,000 X 125)-(800,000 X 125) =$106,250,000-$100,000,000 = $6,250,000 Favourable 3. Absorption costing. | $ | $ | SalesLess: Cost of goods soldOpening inventoryProduction(850,000 X (255+125))(-)Ending inventory(30,000 X 405)Gross MarginAdjustments for production variance(850,000-800,000)x125Operating Income | 0323,000,000(11,400,000) | 450,000,000(311,600,000) | | | | | | 138,400,0006,250,000F | | | 144,650,000 | Income Statement for the year ended 31December 2012 4. Variable Costing Income Statement for the year ended 31 December 2012 | $ | $ | SalesOpening inventoryProduction(850,000 X 255)(-)Ending inventoryContribution MarginFixed factory overheadOperating income | 0216,750,000(7650,000) | 450,000,000(209,100,000) | | | 240,900,000(100,000,000) | | | 140,900, 000 | 5. Based on the calculations of absorption costing and variable costing for the year 2012,it would be better to calculate and measure using the absorption costing...

Words: 288 - Pages: 2

Premium Essay

Sfds

...ASSIGNMENT - 3 Answers 1 Answer 2 Answer 3 4. For what types of workloads does SJF deliver the same turnaround times as FIFO? ANSWER: - In the above case if the jobs are same in size or the jobs periodically applied (i.e. first shortest job then later second shortest job and continues) then the turnaround time of SJF is same as FIFO. 5. For what types of workloads and quantum lengths does SJF deliver the same response times as RR? ANSWER: - The response time delivered by SJF is equal to the response time of RR but this happens only when all the jobs arrived are at the point when the planning quantum of RR is bigger than the bigger occupation to be administrations in order of increasing size. 6. What happens to response time with SJF as job lengths increase? Can you use the simulator to demonstrate the trend? ANSWER: - If you suppose the length of the job increases then average response time varies (increases).If every job is sorted in increasing job order than the last job response time will be equal to the sum of current job and previous (n-1) jobs. In this way if the size of the job increases the response time will also increases for all larger jobs. 7. What happens to response time with RR as quantum lengths increase? Can you write an equation that gives the worst-case response time, given N jobs? ANSWER: - In the case of RR, the response time increases as the quantum lengths increases. This happens because the waiting time of a process for its turn to...

Words: 286 - Pages: 2

Free Essay

Misconceptions of Algebra

...not seem to grasp the concept. Often, we blame the students for not trying hard enough. Worse yet, others blame us for not teaching students well enough. Students often learn the equality symbol misconception when they begin learning mathematics. Rather than understanding that the equal sign indicates equivalence between the expressions on the left side and the right side of an equation, students interpret the equal sign as meaning “do something” or the sign before the answer. This problem is exacerbated by many adults solving problems in the following way: 5 × 4 + 3 = ? 5 × 4 = 20 + 3 = 23 Students may also have difficulty understanding statements like 7 = 3 + 4 or 5 = 5, since these do not involve a problem on the left and an answer on the right. Falkner presented the following problem to 6th grade classes: 8 + 4 = [] + 5 All 145 students gave the answer of 12 or 17. It can be assumed that students got 12 since 8 + 4 = 12. The 17 may be from those who continued the problem: 12 + 5 = 17. Students with this misconception may also have difficulty with the idea that adding or subtracting the same amount from both sides of an equation maintains equality. Kieran gives this example: Solve for x: 2x + 3 = 5 + x 2x + 3 – 3 = 5 + x 2x = 5 + x – x – 3 2x – x = 5 – 3 x = 2 The answer is correct, but several steps of the solution contain incorrect equations. In summary, a student with this misconception will: Assume the solution to a problem is the number after the...

Words: 797 - Pages: 4

Free Essay

Prg/211 Calorie Count Tool

...Team B Calorie Count Tool PRG/211 May 5, 2014 Team B Calorie Count Tool PROBLEM STATEMENT Team B was asked to develop a program which would calculate the user’s daily intake of calories and measure those calories against the overall calories expended. The core purpose of this program will do two primary functions. First, it will record the user intake of calories as acquired through meals throughout the day. Second, the user will record caloric output associated with physical activity. This information will be calculated together to determine the caloric surplus or deficit for the user. In order for the program to execute accurately, and provide customized results, the user will be required to input personal data to include gender, age, weight, and height. This additional information is essential to determine the user’s default caloric burn rate, otherwise known as the basal metabolic rate (BMR). The BMR and the calories burned as a result of physical activity will be calculated against the intake of calories to determine the overall success for the user. As the program is executed it must: * Record user name, age, height, weight to enable more accurate calculations * Record the users specific caloric values entered for each meal * Record the user activity and caloric burn values for that activity * Calculate the basal metabolic rate (BMR) for the individual * Subtotal the total caloric values for the day * Combine the physical activity and...

Words: 1524 - Pages: 7

Free Essay

Book Report

...evaluates to any non-0 value (positive or negative), the condition is considered as a “true” condition and the statement following the if is executed; otherwise this statement is not executed. Relational Operators In C Relational operator | Meaning | Example | < | Less than | age < 30 | > | Greater than | height > 6.2 | <= | Less than or equal to | taxable <= 200000 | >= | Greater than or equal to | temp >= 98.6 | == | Equal to | grade == 100 | != | Not equal to | number !=250 | In creating relational expressions, the relational operators must be typed exactly as given in the above table. Thus, although the following relational expressions are all valid: age > 40 length <= 50 temp >= 98.6 3 < 4 flag == done day != 5 The following are invalid: length =< 50 /* operator out of order*/ 2.0 >> 3.3 /*invalid operator*/ flag = = done /*spaces are not allowed*/ Relational expressions are also known as conditions. The if and if-else Statements The simplest C selection statement is the one-way if statement having the syntax if ( expression ) statement; In this construction, the statement following the if (expression ) is only executed if the...

Words: 1617 - Pages: 7

Premium Essay

Delegation

...Con of Delegation………………………………………………………..4 Conclusion……………………………………………………………….4 References/Work Cited…………………………………………………5 Introduction TV personality Anthea Turner once said, “The first rule of management is delegation. Don't try and do everything yourself because you can't.” (Delegation Quotes) Business owners, such as the owner of a Chick-fil-A restaurant located in Marlton, NJ, have to be willing to delegate tasks to their employees and trust that the assigned employee is going to complete the tasks adequately so he can be freed up to take care of other things associated with their business and to avoid unnecessary stress. What is Delegation? A Latin term originating sometime between 1605 and 1615, the term “delegation” is the act of giving control, authority, a job, a duty, etc., to another person. There are three basic elements of delegation: the assignment of duties, granting of authority to enable the subordinates to perform the duties assigned, and the creation of obligation on the part of subordinate to perform duties in an orderly manner. The process of delegation involves four steps. The first step is the assignment of duties to subordinates which entails the owner to decide exactly what duties he wants the subordinate to complete. The second step is the transfer of authority to perform the duty which entails giving the subordinate the power to complete the assigned tasks. The third step is the acceptance of the assignment which entails the subordinate agreeing to...

Words: 509 - Pages: 3

Free Essay

Nothing

...Ariana Corney Aesa McComb Mina Haw Son Writing assignment #2 When g (0) it is zero because the slope is at zero When it is g (10) it is positive because of the area being colored on the graph. The area under the x-axis is negative, so when you add all of the areas it becomes positive. That brings us to the derivative of g (x), to help us find all of the x-values, which is equal to f(x). Same with the derivative of g (a), it equals f (a), but f (a) is equal to 0. The x values are 2,4,6,8, and 10 when f (0) is equal to f (2), f (4), f (6), f (8), f (10). We determined the increasing/decreasing intervals would be increasing at points where x equals (0,2), (4,6), (8,10) while that g would be decreasing on points where x equals (2,4) and (6,8). As far as finding the extreme values we found that the maximum occurs at when x equals 2, 6, and 10. The minimum occurs at when x equals 0, 4, and 8, while the absolute extreme values are where x equals 2. We determined that g was concaving up when x equals (0,1), (3,5), and (7,9) because the slope of those are increasing throughout the graph. We also determined that g is concaving down when x equals (1,3), (5,7), (9,10) because the slope of those are decreasing down throughout the graph. When the derivative of h is 9, h(x) =g (√x) is equal to f(3)=-2. H(x)= g(√x) so when we need to find the derivative of h(x), we also need to find the derivative of g(√x).The derivative of h(9) then equals the derivative of g(√9) which equals 3. When...

Words: 352 - Pages: 2

Free Essay

Mat222 Week 1 Assignment.

...Solving Proportions MAT222 Week 1 Assignment September 22, 2014 Solving Proportions Solving for a proportion can be used within numerous real-world problems, such as finding the population of an area. Conservationists are able to predict the population of bear’s in their area by comparing information collected from two experiments. In this problem, 50 bears in Keweenaw Peninsula were tagged and released so conservationists could estimate the bear population. One year later, the conservationist took random samples of 100 bears from the same area, proportions are able to be used in order to determine Keweenaw Peninsula’s bear population. “To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist’s estimate of the size of the bear population (Dugolpolski, 2012)?” In order to figure the estimated population, some variables need to first be defined and explain the rules for solving proportions. The ratio of originally tagged bears to the entire population is (50/x). The ratio of recaptured tagged bears to the sample size is (2/100). 50x=2100 is how the proportion is set up and is now ready to be solved. Cross multiplication is necessary for this problem. The extremes are (100) and (50). The means are (x) and (2). 100(50)=2x New equation, and now solve for (x). 50002=2x2 Divide both...

Words: 608 - Pages: 3

Premium Essay

Disparity of Wages on the Labor Market Part 2

...Running Head: Team Assignment 1 Team Assignment Disparity of Wages on the Labor Market part 2 RES/351 University of Phoenix Team Assignment 2 What are the research questions? 1. Do minorities get penalized when it comes to hiring and wages? 2. What is the average annual wages for each job type in the local region? 3.  What qualities affect the wages earned annually by employees? These questions will help to lead the direction of our paper, as well as to help ensure that our group can keep the focus of the paper to stay where we want it to be.  Identify one dependent variable among the variables in the Data Set for the organization assigned to your team. This variable must be the most suitable one among the variables whose values change with the changes in the values of other variables in the Data Set. For this project, it has become clear that the dependant variable in our data set is wages. Independent variables that are a driving force, in this case, are going to be race, experience, and gender. These things can have an effect on wages that are to be set but being a Union member does not seem to have an impact on that. We also noticed that education did not seem to have an impact on the wages set for employees. What...

Words: 410 - Pages: 2

Premium Essay

Variable

...nt Team Reflection Week 4 Team D Reflection Christopher Gonzalez, Jennifer Mai, Leonel Perez QNT 351 March 7, 2014 Mr. Victor Ornelas Week 4 Team D Reflection In week four, Team D read about the steps in testing a research hypothesis, comparing the means of two or more groups, and calculating the correlation between two variables. The following paper will go in to more depth on what was discussed and what we learned as a team as well as individuals. The team also was able to go over the Mystat lab that we were assigned in the individual assignment. In step one a team would state a null hypothesis as well as an alternate hypothesis. The null hypothesis is used only for testing. We either reject or fail to reject the null hypothesis. The alternate hypothesis is accepted if sample data provide enough evidence that the null hypothesis is false. No matter what the problem looks like the null hypothesis will always contain the equal sign. This is true because since the null hypothesis is being tested there is a need for a specific value to be seen in the calculations. When comparing the means of two or more groups the team must state the null hypothesis. Random samples of each population must be chosen to show the formula in a working status. To get a more accurate sample a higher number of the populations should be used. An independent sample T-test is used to compare the means of two or more groups. Pooled variance can be used if the variances of the two populations...

Words: 352 - Pages: 2