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The Costume Store specializes in producing fancy dress costumes. Their marginal cost of producing cowboy hats is as follows: 1st hat $24, 2nd hat $30, 3rd hat $38, 4th hat, $46. Suppose the market price of cowboy hats decreases from $38 to $30. Which of the following statements is true? Producer surplus will fall from $22 to $6. Producer surplus will fall from $54 to $24. The Costume Store will produce no hats. Producer surplus will increase from $8 to $24. Consumer surplus will rise by $6.

Question

The Costume Store specializes in producing fancy dress costumes.

Their marginal cost of producing cowboy hats is as follows: 1st hat 24,2ndhat24, 2nd hat 30, 3rd hat 38,4thhat,38, 4th hat, 46.

Suppose the market price of cowboy hats decreases from 38to38 to 30.

Which of the following statements is true?

Producer surplus will fall from 22to22 to 6.

Producer surplus will fall from 54to54 to 24.

The Costume Store will produce no hats.

Producer surplus will increase from 8to8 to 24.

Consumer surplus will rise by $6.

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Solution

Producer surplus will fall from 54to54 to 24.

Producer surplus is the difference between the market price and the marginal cost of production. When the price is 38,theCostumeStorewillproduce3hats,withaproducersurplusof38, the Costume Store will produce 3 hats, with a producer surplus of 38 - 24(forthefirsthat)+24 (for the first hat) + 38 - 30(forthesecondhat)+30 (for the second hat) + 38 - 38(forthethirdhat)=38 (for the third hat) = 14 + 8+8 + 0 = $22.

When the price falls to 30,theCostumeStorewillonlyproduce2hats,withaproducersurplusof30, the Costume Store will only produce 2 hats, with a producer surplus of 30 - 24(forthefirsthat)+24 (for the first hat) + 30 - 30(forthesecondhat)=30 (for the second hat) = 6 + 0=0 = 6.

So, the producer surplus falls from 22to22 to 6.

This problem has been solved

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