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A retiree from a large Atlanta financial services firm decides to keep busy and supplement her retirement income by opening a small upscale folk art company near Charleston, South Carolina. The company, Sand Dollar Art, manufactures and sells in a purely competitive market, and the following monthly market information for x units at $p per unit applies: Demand: p = 2000 − 4.5 x Supply: p = 100 + 0.25 x Find the market equilibrium quantity and price for this market. If Sand Dollar Art’s monthly cost function is C ( x ) = 400 + 100 x + x 2 find the profit-maximizing monthly quantity. What are the total monthly revenues and total monthly costs? What monthly profit does Sand Dollar Art earn? Assuming that Sand Dollar Art is representative of firms in this competitive market, what is its market share?

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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042
Chapter 10.3, Problem 44E
Textbook Problem
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A retiree from a large Atlanta financial services firm decides to keep busy and supplement her retirement income by opening a small upscale folk art company near Charleston, South Carolina. The company, Sand Dollar Art, manufactures and sells in a purely competitive market, and the following monthly market information for x units at $p per unit applies:

Demand: p = 2000 4.5 x

Supply: p = 100   + 0.25 x

  1. Find the market equilibrium quantity and price for this market.

  2. If Sand Dollar Art’s monthly cost function is

    C ( x ) = 400 + 100 x + x 2

    find the profit-maximizing monthly quantity. What are the total monthly revenues and total monthly costs? What monthly profit does Sand

    Dollar Art earn?

  3. Assuming that Sand Dollar Art is representative of firms in this competitive market, what is its market share?

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