Homework 1

Q1. The SKKU company, one of social enterprise produces chairs and tables from two resources – labor and wood. The company has 80 hours of labor and 36 pounds of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 pounds of wood, whereas a table requires 10 hours of labor and 6 pounds of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit A. Formulate a linear programming model for this problem B. Solve the model by using computer sw.

Q2. In problem 1, how much labor and wood will be unused if the optimal numbers of chairs and table produced?

Q3. In problem1, explain the effect on the optimal solution of changing the profit on the table from $100 to $500. * Solve the model by using computer SW.
Q4. RPR has been conducted to do survey following an election primary in New Hampshire. The firm must assign interview to conduct the survey by telephone or in person. One person can conduct 80 telephone interviews or 40 personal interviews in a single day. The following criteria have been established by the firm to ensure a representative survey:
An

A. Formulate a linear programming model for this problem B. Solve the linear programming model by using computer sw(Excel or DS for