A small, but up-and-coming software firm called MacroSoft has contacted us concerning a new software package they have developed. The CEO of the company, Bob Doors, has asked us to analyze three different production scenarios and to report on the findings. For each of the scenarios, he wants us to assume that the average cost of producing q million copies of the software is given by the function (with q > 0): C(q) = 0.01q² - 0.6q + 10.

The units of this average cost function are in millions of dollars per million copies. Further, he expects that users will pay $9.95 per copy of the software. Each of the three scenarios is described below. Mr. Doors has asked that the report contain both analytical calculations and spreadsheet calculations to verify these.

• Scenario A. In this production scenario, the company needs to know how many copies to produce (and then sell) in order to minimize the average cost for producing each copy of the software.
• Scenario B. In this production scenario, the company needs to know the total number of copies that it should produce (and sell) in order to minimize the total cost for producing the entire quantity of software.
• Scenario C. In this scenario, cost is no object. The company is interested in maximizing the profit earned from manufacturing and selling the software, no matter how many copies it takes to do it and regardless of the costs involved.

Your final report should include advice for manufacturing under each scenario and an overall comparison of each scenario, including: average cost, total cost, revenue, and profits. These should be in a nice table, and should be clearly explained for Mr. Doors - I know him, and he doesn’t read anything that isn’t fully explained and absolutely clear. Further, he would like a final recommendation on which of the scenarios his company should follow at the present. Again, keep in mind that this is a start-up company with limited production capacity.

Attachment: No attachment - you should create your own file to analyze this problem.