A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is p= 200-0.05D where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $15000 per month and the variable cost is $50 per unit. a. What is the number of units that should be produced and sold each month to maximize profit? b. What is the domain of profitable demand during a month?

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
Chapter3: Demand Analysis
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A company produces and sells a consumer product and is able to control the demand for the product by
varying the selling price. The approximate relationship between price and demand is p= 200-0.05D
where p is the price per unit in dollars and D is the demand per month. The company is seeking to
maximize its profit. The fixed cost is $15000 per month and the variable cost is $50 per unit.
a. What is the number of units that should be produced and sold each month to maximize profit?
b. What is the domain of profitable demand during a month?
Show your spreadsheet.
Transcribed Image Text:A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is p= 200-0.05D where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $15000 per month and the variable cost is $50 per unit. a. What is the number of units that should be produced and sold each month to maximize profit? b. What is the domain of profitable demand during a month? Show your spreadsheet.
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