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Quantitative methods for Caspiano

Quantitative methods for Caspiano

Problem and Data

Price Brand A Price Brand B Units Sold Brand A Units Sold Brand B
$ 500.00 $ 300.00 176 72
$ 100.00 $ 300.00 116 296
$ 150.00 $ 200.00 197 234
$ 498.00 $ 475.00 48 133
$ 250.00 $ 350.00 102 229
$ 300.00 $ 389.00 82 215
$ 350.00 $ 150.00 263 105
$ 400.00 $ 398.00 90 162
$ 450.00 $ 300.00 169 100
$ 500.00 $ 100.00 322 4
$ 550.00 $ 275.00 202 36
$ 380.00 $ 402.00 84 174
$ 210.00 $ 300.00 133 235
$ 330.00 $ 480.00 20 229
$ 700.00 $ 500.00 60 28
$ 475.00 $ 505.00 156 23

Data on sales of two popular brands of 46 inch LED TV’s at a local electronics store are shown below. The store can buy Brand A for $215 per unit from its manufacturer and Brand B for $190 per unit from its manufacturer. a. Using multiple regression (Excel Data Analysis or PHStat), develop an equation for the demand (number of units sold) of Brand A based upon the prices of both brands. Find a similar equation for the demand of Brand B using a second multiple regression. b. On a new worksheet, construct an Excel model for total revenue and total profit from sales of both brands. Name this worksheet “Model”. Set Price A to $200 and Price B to $250. c. Copy your Part b model to a new worksheet named “Goal Seek A.” Use Excel’s Goal Seek tool to find the prices for both brands: 1. Set Price A to be $200 and find the Price B that will produce a total revenue of $90,000. 2. Copy your model to a new worksheet named ” Goal Seek B.” Set Price B to be $175 and find the Price A that will yield a total profit of $90,000. d. Copy your original Part b model to a new worksheet named “Data Table & Scenario” Develop a two-way data table to determine total profit for the prices of Brand A and Brand B between $200 and $600 with $50 intervals. e. Still on the Part d: Data Table worksheet, use Scenario Manager to investigate the impact on Total Profitability of changing the unit cost of Brand A and the unit cost of Brand B to the following combinations: A-$150, B-$250; A-$175, B- $200; A-$200, B-$175; A-$225, B-$250. Produce a Summary Report. Note: when you save your file, the Scenario Manager will save your four scenarios and I will be able to see how you set it up. f. Copy your original Part b model to a new worksheet named “Solver.” With the unit cost of A of $200 and B of $175, use Excel Solver to find the prices for Brand A and Brand B that will maximize total profit given that the store must sell at least 100 units of Brand A and can buy no more than 200 units of Brand B and must meet a minimum total revenue of $100,000. Submit your properly-named Excel file in the Bb M5A1 Assignment area.

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