MGT 397 Chapter 2 Assignment Fall 2021 Answer all questions. Use the format involving the three steps shown in the slides and our textbook. That is, (1) Define the decision variables (ii) State the objective function (iii) State the constraints Each of these steps carry points. 1. Procomp Inc. produces two types of computers, the SX and the EX. They have two production departments Assembly and Packaging. In Assembly department, each SX computer requires 0.4 labor hour and an EX requires 0.5 labor hours. Presently, in Assembly department, a maximum of 360 labor hours per week can be assigned to the production of the two types of computers. In Packaging department, an SX requires 0.1 labor hour and an EX requires 0.15 labor hour Presently, Packaging department has a maximum of i20 labor hours per week that can be assigned to the two computer modes. In order to maintain the current market position, top management has issued a policy that it is necessary to build at least 250 EX computer. Procomp already has a backorder of at least 30 SX computersit promised to deliver to a major customer. The profit contributions are $10 and $20 respectively for each SX and each EX set. If the marketing manager at Procomp has determined that they can sell as many computers as they can produce, formulate a linear programming model that can be used to determine the optimal number of each type of computer to produce in order to maximize profit The Director of physical facilities at Alabama A&M University, is planning to put fertilizer on the grass on campus. The grass needs at least the following amounts of minerals, 30 lbs of nitrogen, 25 2. The Director of physical facilities at Alabama A&M University, is planning to put fertilizer on the grass on campus. The grass needs at least the following amounts of minerals; 30 lbs of nitrogen, 25 lbs of phosphorus and 40 lbs of potash. Two kinds of commercial fertilizers named A and B are available: (analysis and price are given below). The director stores the fertilizers before mixing them together, and he has space for only 300 lbs of fertilizer. Also, he has only $1500 allocated for fertilizers in his budget. Formulate a linear programming model that will determine the optimal quantity (pounds) of each fertilizer he should buy to satisfy his conditions and minimize overall cost Fertilizer Characteristics (per lb of fertilizer) Nitrogen Phosphorus Potash Fertilizer Content(lb) Content(lb) Content(lb) Price 22 36 S 10 B 16 15 $8 DIE .14 55