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

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter1: Introduction And Goals Of The Firm
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Tennis Products Corporation produces three models of high-quality tennis rackets. The following table contains recent information on the sales, costs, and profitability of the three models:

MODEL AVERAGE QUANTITY SOLD (UNITS/MONTH) CURRENT PRICE ($)  TOTAL REVENUE ($) VARIABLE COST PER UNIT ($) CONTRIBUTION MARGIN PER UNIT ($) CONTRIBUTION MARGIN ($) *
A 15,000 $30    $450,000 $15.00 $15 $225,000
B 5,000 $35   $175,000 $18.00 $17    $85,000
C 10,000 $45 $450,000 $20.00 $25 $250,000
Total     $1,075,000     $560,000

*Contribution to fixed costs and profits.

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.

 

Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin for the entire line of tennis rackets and based on this analysis, should the firm lower the price of Model A? Explain

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