Quantitative analysis Linear programming Models Graphical methods

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 frilling. Each air conditioner takes 3 hours or 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 $25.00. Each fan assembled may be sold for a $15.00 profit. Formulate and solve this LP production mix situation to find the best combination of air conditioners and fans that yields the highe... click for more

Linear Programming Models: Graphical methods

A candidate for mayor in a small town has allocated $40,000 for last-minute advertising in the days preceding the election. Two types of ads will be used: radio and television. Each radio ads costs $200 and reaches an estimated 3,000 people. Each television ad costs $500 and reaches an estimated 7,000 people. In planning the advertising campaign, the campaign manager would kike to reach as many people as possible, but she has stipulated that at least 10 ads of each type must be used. Also, the number of radio ads must be at least as great as the number of television ads. How many ads of each type should be used? How many people will this reach?

Quantitative analysis Linear programming Models Graphical methods

MSA Computer Corporation manufactures two models of minicomputers, the Alpha 4 and Beta 5. The firm employs five technicians, working 60 hours each per month, on its assemble line. Management insists that full employment (i.e. all 160 hours of time) be maintained for each worker during next month's operations. It requires 20 labor hours to assemble each Alpha 4 computer and 25 hours to assemble each Beta 5 model. MSA wants to see at least 10 Alphs 4s and at least 15 Beta 5s produced during the production period. Alpha 4s generate $1,200 profit per unit, and Beta 5s yield $1,800 each. Determine the most profitable number of each model of minicomputer to produce during the coming month.

Quantitative analysis Linear programming Models Graphical methods

The winner of the Texas Lotto has decided to invest $50,000 per year in the stock market. Under consideration are stocks for a petrochemical firm and a public utility. Although a long-range goal is to get the highest possible return, some consideration is given to the risk involved with the stocks. A risk index on a scale of 1-10 (with 10 being the most risky) is assigned to each of the two stocks. The total risk of the portfolio is found by multiplying the risk of each stock by the dollars invested in that stock. The following table provides a summary of the return and risk: Stock Estimated Return Risk Index Petrochemical 12% 9 Utility 4 6% ... click for more

Quantitative analysis Linear programming Models Graphical methods

The dean of the Western College of Business must plan the school's course offering for the fall semester. Students 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 call so that total faculty salaries are kept to a minimum?