Calloway Shirt Manufacturers sells knit shirts in two sub-markets. In one sub-market, the  shirts carry Calloway’s popular label and breast logo and receive a substantial price premium.  The other sub-market is targeted toward more price conscious consumers who buy the shirts  without a breast logo, and the shirts are labelled with the name Archwood. The retail price of  the shirts carrying the Calloway label is R420 while the Archwood shirts sell for R250.  Calloway’s market research indicates a price elasticity of demand for the higher priced shirt  of -2.0, and the elasticity of demand for the Archwood shirts is -4.0. Moreover, the research  suggests that both elasticities are constant over broad ranges of output. a. Are Calloway’s current prices optimal?  b. Management considers the R250 price to be optimal and necessary to meet the  competition. What price should the firm set for the Calloway label to achieve an optimal  price ratio?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Calloway Shirt Manufacturers sells knit shirts in two sub-markets. In one sub-market, the 
shirts carry Calloway’s popular label and breast logo and receive a substantial price premium. 
The other sub-market is targeted toward more price conscious consumers who buy the shirts 
without a breast logo, and the shirts are labelled with the name Archwood. The retail price of 
the shirts carrying the Calloway label is R420 while the Archwood shirts sell for R250. 
Calloway’s market research indicates a price elasticity of demand for the higher priced shirt 
of -2.0, and the elasticity of demand for the Archwood shirts is -4.0. Moreover, the research 
suggests that both elasticities are constant over broad ranges of output.
a. Are Calloway’s current prices optimal? 
b. Management considers the R250 price to be optimal and necessary to meet the 
competition. What price should the firm set for the Calloway label to achieve an optimal 
price ratio?

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