Problem

Unit Costs; Profit-Maximizing OutputThe controller for Canandaigua Vineyards, Inc. has pre...

Unit Costs; Profit-Maximizing Output

The controller for Canandaigua Vineyards, Inc. has predicted the following costs at various levels of wine output.

 

Wine Output (.75 Liter Bottles)

 

10,000 Bottles

15,000 Bottles

20,000 Bottles

Variable production costs

$ 37,000

$ 55,500

$ 74,000

Fixed production costs

100,000

100,000

100,000

Fixed selling and administrative costs

40,000

40,000

40,000

Total a...

$177,000

$195,500

$214,000

The company's marketing manager has predicted the following prices for the firm's fine wines at various levels of sales.

 

Wine Sales

 

10,000 Bottles

15,000 Bottles

20,000 Bottles

Sales price per .75 liter bottle.

$18.00

$15.00

$12.00

Required:

1.      Calculate the unit costs of wine production and sales at each level of output. At what level of output is the unit cost minimized?

2.      Calculate the company's profit at each level of production. Assume that the company will sell all of its output. At what production level is profit maximized?

3.      Which of the three output levels is best for the company?

4.      Why does the unit cost of wine decrease as the output level increases? Why might the sales price per bottle decline as sales volume increases?

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