Bountiful Boats has to produce at least 5000 cabin cruisers and 12,000 pontoons each year; they can produce at most 30,000 jet skis in a year. The company has two factories; one in Michigan, and one in Wisconsin; each factory is open for a maximum of 240 days per year. The Michigan factory makes 20 cabin cruisers, 40 pontoons, and 60 jet skis per day. The Wisconsin factory makes 10 cruisers, 30 pontoons, and 50 jet skis per day. The cost to run the Michigan factory per day is $960,000; the cost to run the Wisconsin factory per day is $750,000. How many days of the year should each factory run in order to meet the boat production, yet do so at a minimum cost? a) Formulate the linear programming problem.
b) Solve the system of equations using excel and solver. What is the optimal solution and cost?
c) Run a sensitivity report. Interpret/analyze the Constraint section of the sensitivity report clearly and concisely.
d) Base your answers on the sensitivity report and justify answers clearly. All changes apply to the original LP (changes are not cumulative).
1. Which constraint(s) are binding?
2. Bountiful Boats production people, feels that it must keep the Michigan factory open a maximum of 242 days per year, what effect will that have on its minimum cost? A new top executive wants to drop production at the Michigan factory by 10 days, what effect will that have on its minimum cost?
3. A local retailer has requested 500 additional pontoons, what effect will that have on its minimum cost?
4. A supplier of jet ski engine parts has cut back; therefore Bountiful Boasts can only produce at most 24,000 jet skis, what effect will that have on its minimum cost?

You are the manager in charge of global operations at bankglobal – a large commercial bank that operates in a number of countries around the world. you must decide whether or not to launch a new advertising campaign in the u.s. market. your accounting department has provided the accompanying statement, which summarizes the financial impact of the advertising campaign on u.s. operations. in addition, you recently received a call from a colleague in charge of foreign operations, and she indicated that her unit would lose $8 million if the u.s. advertising campaign were launched. your goal is to maximize bankglobal’s value. should you launch the new campaign? explain. pre-advertising campaign post-advertising campaign total revenues $18,610,900 $31,980,200 variable cost tv airtime 5,750,350 8,610,400 ad development labor 1,960,580 3,102,450 total variable costs 7,710,930 11,712,850 direct fixed cost depreciation – computer equipment 1,500,000 1,500,000 total direct fixed cost 1,500,000 1,500,000 indirect fixed cost managerial salaries 8,458,100 8,458,100 office supplies 2,003,500 2,003,500 total indirect fixed cost $10,461,600 $10,461,600

Problem 9-5. net present value and taxes [lo 1, 2] penguin productions is evaluating a film project. the president of penguin estimates that the film will cost $20,000,000 to produce. in its first year, the film is expected to generate $16,500,000 in net revenue, after which the film will be released to video. video is expected to generate $10,000,000 in net revenue in its first year, $2,500,000 in its second year, and $1,000,000 in its third year. for tax purposes, amortization of the cost of the film will be $12,000,000 in year 1 and $8,000,000 in year 2. the company’s tax rate is 35 percent, and the company requires a 12 percent rate of return on its films. required what is the net present value of the film project? to simplify, assume that all outlays to produce the film occur at time 0. should the company produce the film?

Blue computers, a major pc manufacturer in the united states, currently has plants in kentucky and pennsylvania. the kentucky plant has a capacity of 1 million units a year and the pennsylvania plant has a capacity of 1.5 million units a year. the firm divides the united states into five markets: northeast, southeast, midwest, south, and west. each pc sells for $1,000. the firm anticipates a 50 perc~nt growth in demand (in each region) this year (after which demand will stabilize) and wants to build a plant with a capacity of 1.5 million units per year to accommodate the growth. potential sites being considered are in north carolina and california. currently the firm pays federal, state, and local taxes on the income from each plant. federal taxes are 20 percent of income, and all state and local taxes are 7 percent of income in each state. north carolina has offered to reduce taxes for the next 10 years from 7 percent to 2 percent. blue computers would like to take the tax break into consideration when planning its network. consider income over the next 10 years in your analysis. assume that all costs remain unchanged over the 10 years. use a discount factor of 0.1 for your analysis. annual fixed costs, production and shipping costs per unit, and current regional demand (before the 50 percent growth) are shown in table 5-13. (a) if blue computers sets an objective of minimizing total fixed and variable costs, where should they build the new plant? how should the network be structured? (b) if blue computers sets an objective of maximizing after-tax profits, where should they build the new plant? how should the network be structured? variable production and shipping cost ($/unit) annual fixed cost northeast southeast midwest south west (million$) kentucky 185 180 175 175 200 150 pennsylvania 170 190 180 200 220 200 n. carolina 180 180 185 185 215 150 california 220 220 195 195 175 150 demand ('000 units/month) 700 400 400 300 600