(Please type the answers)(MBA 5200 Modeling, Analytics, and Operations Decisions)

(Please type the answers)(MBA 5200 Modeling, Analytics, and Operations Decisions)

# 19, p. 42 19. American Auto is evaluating their marketing plan for the sedans, SUVs, and trucks they produce. A TV ad featuring this SUV has been developed. The company estimates each showing of this commercial will cost $500,000 and increase sales of SUVs by 3% but reduce sales of trucks by 1% and have no effect of the sales of sedans. The company also has a print ad campaign developed that it can run in various nationally distributed magazines at a cost of $750,000 per title. It is estimated that each magazine title the ad runs in will increase the sales of sedans, SUVs, and trucks by 2%, 1%, and 4%, respectively. The company desires to increase sales of sedans, SUVs, and trucks by at least 3%, 14%, and 4%, respectively, in the least costly manner. a. Formulate an LP model for this problem b. Sketch the feasible region. c. What is the optimal solution? #22, p. 43 22. Zippy motorcycle manufacturing produces two popular pocket bikes (miniature motorcycles with 49cc engines): the Razor and the Zoomer. In the coming week the manufacturer wants to produce up to 700 bikes and wants to ensure the number of Razors produced does not exceed the number of Zoomer by more than 300. Each Razor produced and sold results in a profit of $70 while each Zoomer results in a profit of $40. The bikes are identical mechanically and only differ in the appearance of the polymer-based trim around the fuel tank and seat. Each Razor's trim requires 2 pounds of polymer and 3 hours of production time while each Zoomer requires 1 pound of polymer and 4 hours of production time. Assume that 900 pounds of polymer and 2,400 labor hours are available for production of these items in the coming week. a. Formulate an LP model for this problem. b. Sketch the feasible region for this problem. c. Whatis the optimal solution? # 15, p. 41 15. The Gourmet Grill Company manufactures and sells two different types of grills: propane and electric. Each propane grill sells for $320 and costs $220 to manufacture. Each electric grill sells for $260 and costs $180 to manufacture. Each grill goes through four operations in the manufacturing process. The hours required by each type of grill in each of these manufacturing processes is summarized as follows: Hours Required per Unit Propane Electric Manufacturing Process Machine Press 2 1 Fabrication 4 5 2. 3 Assembly Testing 1 1 In the next production cycle there are 2,400 hours of machine press time available, 6,000 hours of fabrication, 3,300 hours of assembly, and 1,500 hours of testing capacity. Assume Gourmet Grill can sell everything they make and would like to determine the production plan that would maximize profit. a. Formulate an LP model for this problem. b. Sketch the feasible region for this problem. c. Determine the optimal solution to this problem using level curves