Production Scheduling and Linear Programming Homework, Assignments of Insurance law

Download Production Scheduling and Linear Programming Homework and more Assignments Insurance law in PDF only on Docsity! MT 435 Homework Set 4 Due Wednesday, October 8, 2008 1. A firm combines raw materials A, B, and C in the production of two products. The requirements in pounds for the manufacture of a unit of each product as well as the availability of materials is as follows: A B C Product 1 4 12 8 Product 2 7 9 10 available (tons) 1 2 1.5 All units of the products made can be sold. The firm realizes a profit of $1.20/unit on the first 200 units of Product 1 sold, and $1.00/unit on any additional sold; and a profit of $1.40 on the first 150 units of Product 2 sold, and $1.05/unit on the remainder. Determine a production schedule that maximizes profit. a. Formulate the model. Let x1 and x2 denote the number of units of Products 1 and 2 sold up to 200 and 150, respectively, and let x3 and x4 denote the number of units of Products 1 and 2 sold beyond those limits, respectively. b. Give the canonical form of the problem, state the basic variables, give the initial basic solution and the value of the objective function there. c. Use the LPAssistant program to solve the problem and state the optimal values of the variables and the corresponding profit. Turn in the tableau output from the program. You should use Page Setup to select landscape view. 2. [This requires artificial variables.] BIW Corporation makes three models of enamel sinks: Wisteria, Grand, and Balsam. Two operations are required for the manufacture of each sink: cutting/shaping, and enameling. The operation time requirements (in minutes) and profit for each type of sink are as follows: Wisteria Grand Balsam cutting/shaping 20 15 24 enameling 7 6 8 profit ($) 160 135 225 For the next month, BIW has 320 hours cutting/shaping time and 150 hours enameling time available. BIW has committed to producing a minimum of 400, 500, and 150 units of Wisteria, Grand, and Balsam, respectively, but can sell as many as it can produce.