Description 1. (Chapter 3 in Edition 4-Question 2: Production problem) In PC Tech’s product mix problem, assume there is another PC model, the VXP, that the company can produce in addition to Basics and XPs. Each VXP requires 8 hours for assembling, 3 hours for testing, $275 for component parts, and sells for $560. At most 50 VXPs can be sold. [a] Modify the spreadsheet model to include this new product, and use Solver to find the optimal product mix. [b] You should find that the optimal solution is not integer-valued. If you round the values in the changing cells to the nearest integers, is the resulting solution still feasible? If not, how might you obtain a feasible solution that is at least close to optimal? 2. (Chapter 3 in Edition 4-Question 34: Environment Problem) There are 3 factories on the Momiss River. Each emits 2 types of pollutants, labeled P1 and P2, into the river. If the waste from each factory is processed, the pollution in the river can be reduced. It costs $1500 to process a ton of factory 1 waste, and each ton processed reduces the amount of P1 by 0:10 ton and the amount of P2 by 0:45 ton. It costs $1000 to process a ton of factory 2 waste, and each ton processed reduces the amount of P1 by 0:20 ton and the amount of P2 by 0:25 ton. It costs $2000 to process a ton of factory 3 waste, and each ton processed reduces the amount of P1 by 0:40 ton and the amount of P2 by 0:30 ton. The state wants to reduce the amount of P1 in the river by at least 30 tons and the amount of P2 by at least 40 tons. a. Use Solver to determine how to minimize the cost of reducing pollution by the desired amounts.
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