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Grand Canyon ECN601 Module 6 problems

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Question;Problem 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 problem to find the best combination of air conditioner and fans;that yields the highest profit. Use the corner point graphical approach.;Problem 7-15;Electrocomp's management realizes that it;forgot to include two critical constraints. In particular, management decides;that there should be a minimum number of air conditioners produced in order to;fulfill a contract. Also, due to an oversupply of fans in the preceding period;a limit should be placed on the total number of fans produced.;(a) If;Electrocomp decides that at least 20 air conditioners should be produced but no;more than 80 fans should be produced, what would be the optimal solution? How;much slack is there for each of the four constraints?;(b) If;Electrocomp decides that at least 30 air conditioners should be produced but no;more than 50 fans should be produced, what would be the optimal solution? How;much slack is there for each of the four constraints at the optimal solution?;Problem 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?

 

Paper#56864 | Written in 18-Jul-2015

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