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Use simple regression on the data in the spreadsheet to come up with a mathematical expression for the demand curve for your product.
Using your regression equation, calculated the expected quantity and the price elasticity of demand at each of the following price points: $20, $25, $30, $35, $40, $45 $50. Identify which prices are in the elastic range and which are in the inelastic range. Assume your company is currently selling shirts for $25 each. Should they increase or decrease their price in order to maximize total revenue? Why? According to your regression results, at which price ($20, $25, $30, $35, $40, $45, $50) is total revenue maximized?
P Q
50 165
45 210
40 270
35 300
35 270
35 315
35 240
30 375
30 345
30 354
25 390
25 405
25 401
20 439
20 430
20 442
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