Tennis Products, Inc., produces three models of high-quality tennis rackets. The following table contains recent information on the sales, costs, and profitability of the three models:

The company is considering lowering the price of Model A to $27 in an effort to increase the number of units sold. Based on the results of price changes that have been instituted in the past, Tennis Products€™ chief economist estimates the arc price elasticity of demand to be €“2.5. Furthermore, she estimates the arc cross elasticity of demand between Model A and Model B to be approximately 0.5 and between Model A and Model C to be approximately 0.2. Variable costs per unit are not expected to change over the anticipated changes in volume.
a. Evaluate the impact of the price cut on the
(i) Total revenue and
(ii) Contribution margin of Model A. Based on this analysis, should the firm lower the price of Model A?
b. Evaluate the impact of the price cut on the
(i) Total revenue and
(ii) Contribution margin for the entire line of tennis rackets. Based on this analysis, should the firm lower the price of ModelA?

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AVERAGE QUANTITY VARIABLE CONTRIBUTION SOLD (UNITS CURRENT TOTAL COST PER MARGIN PER CONTRIBUTION MARGIN $225,000 85,000 250,000 $560,000 MODEL MONTH) 15,000 5,000 10,000 PRICE $30 35 45 REVENUE 450,000 175,000 450,000 $1,075,000 UNIT $15.00 18.00 20.00 UNIT $15 17 25 Total Contribution to fixed costs and profits.