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Homework 4 - Douglas Silber 7-14 The Electrocomp...

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Douglas Silber 7-14 The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan must go through 2 hours of wiring and 1 hour of drilling. During the next production period, 240 hours of wiring time are available and up to 140 hours of drilling time may be used. Each air conditioner sold yields a profit of $25. Each fan assembled may be sold for a $15 profit. Formulate and solve this LP production mix situation to find the best combination of air conditioners and fans that yields the highest profit. Use the corner point graphical approach. (A) (F) Department Air Conditioner Large Fan Available Hours This Week Wiring 3 2 240 Drilling 2 1 140 Profit per Unit $25 $15 Objective is: To Maximize Profit Constraints are: 1. The hours of wiring time used cannot exceed 240 hours per week. 2. The hours of drilling time used cannot exceed 140 hours per week. A = number of Air Conditioners to be produced per week F = number of Fans to be produced per week. The objective is to maximize profit = $25A + $15F Subject to: 3A + 2F ≤ 240 (wiring constraint) 2A + 1F ≤ 100 (drilling constraint) Douglas Silber
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7-18 The dean of the Western College of Business must plan the school’s course offerings for the fall semester. Student demands make it necessary to offer at least 30 undergraduate and 20 graduate courses in the term. Faculty contracts also dictate that at least 60 courses be offered in total. Each undergraduate course taught costs the college an average of $2,500 in faculty wages, and each graduate course costs $3,000. How many undergraduate and graduate courses should be taught in the fall so that total faculty salaries are kept to a minimum?
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