ONLY FORMULATE! DO NOT SOLVE SHOW ALL WORK B.7 The Attaran Corporation manufactures two electrical products: portable air conditioners and portable heaters. 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 heater 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 heater assembled may be sold for a $15 profit. Formulate and solve this LP production-mix situation, and find the best combination of air conditioners and heaters that yields the highest profit. B.8 The Jean-Pierre Amor Company manufactures two lines of designer yard gates, called model A and model B. every gate requires blending a certain amount of steel and zinc; the company has available a total of 25000 lb of steel and 6000 lb of zinc. Each model A gate requries a mixture of 125 lb of steel and 20 lb of zinc, and each yields a profit of $90. Each model B gate requires 100 lb of steel and 30 lb of zinc and can be sold for a profit of $70.Find by graphical linear programing the best production mix of yard gates. B.10 The Lifang Wu Corporation manufactures two models of industrial robots, the Alpha 1 and the Beta 2. The firm employs 5 technicians, working 160 hours each per month, on its assembly line. Management insists that full employment ( that is, all 160 hours of time) be maintained for each worker during next month's operations. It requires 20 labor- hours to assemble each Alpha 1 robot and 25 labor- hours to assemble each Beta 2 model. Wu wants to see at least 10 Alpha 1s and at least 15 Beta 2s produced during the production period. Alpha 1s generate a $ 1,200 profit per unit, and Beta 2s yield $ 1,800 each. Determine the most profitable number of each model of robot to produce during the coming month. B.11 The Sweet Smell Fertilizer Company markets bags of manure labeled \"not less than 60 lb dry weight.\" The packaged manure is a combination of compost and sewage wastes. To provide good-quality fertilizer, each bag should contain at least 30 lb of compost but no more than 40 lb of sewage. Each pound of compost costs Sweet Smell 5 and each pound of sewage costs 4. Use a graphical LP method to determine the least-cost blend of compost and sewage in each bag. B.17 The Rio Credit Union has $250,000 available to invest in a 12-Month commitment. The money can be placed in Brazilian treasury notes yielding an 8% return or in riskier high-yeld bonds at an average rate of return of 9%. Credit union regulations require diversification to the extend that at last 50% of the investment be placed in Treasury notes. It is also decided that no more than 40% of the investment be placed in bonds. How much should the Rio Credit Union invest in each security so as to maximize its return on investment