Exercises 47-50 describe a number of business ventures. For each exercise, a. Write the cost function, C. b. Write the revenue function, R. c. Determine the break-even point. Describe what this means. 47. A company that manufactures small canoes has a fixed cost of $18,000. It costs $20 to produce each canoe. The selling price is $80 per canoe. (In solving this exercise, let x represent the number of canoes produced and sold.) 48. A company that manufactures bicycles has a fixed cost of $100,000. It costs $100 to produce each bicycle. The selling price is $300 per bike. (In solving this exercise, let x represent the number of bicycles produced and sold.) 49. You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. A sold-out performance brings in $3125. (In solving this exercise, letxrepresent the number of sold-out performances.) 50. You invested $30,000 and started a business writing greeting cards. Supplies cost 2¢ per card and you are selling each card for 50¢. (In solving this exercise, let x represent the number of cards produced and sold.)

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Exercises 47-50 describe a number of business ventures. For each
exercise,
a. Write the cost function, C.
b. Write the revenue function, R.
c. Determine the break-even point. Describe what this means.
47. A company that manufactures small canoes has a fixed cost
of $18,000. It costs $20 to produce each canoe. The selling
price is $80 per canoe. (In solving this exercise, let x represent
the number of canoes produced and sold.)
48. A company that manufactures bicycles has a fixed cost of
$100,000. It costs $100 to produce each bicycle. The selling
price is $300 per bike. (In solving this exercise, let x represent
the number of bicycles produced and sold.)
49. You invest in a new play. The cost includes an overhead of
$30,000, plus production costs of $2500 per performance.
A sold-out performance brings in $3125. (In solving this
exercise, letxrepresent the number of sold-out performances.)
50. You invested $30,000 and started a business writing
greeting cards. Supplies cost 2¢ per card and you are selling
each card for 50¢. (In solving this exercise, let x represent
the number of cards produced and sold.)
Transcribed Image Text:Exercises 47-50 describe a number of business ventures. For each exercise, a. Write the cost function, C. b. Write the revenue function, R. c. Determine the break-even point. Describe what this means. 47. A company that manufactures small canoes has a fixed cost of $18,000. It costs $20 to produce each canoe. The selling price is $80 per canoe. (In solving this exercise, let x represent the number of canoes produced and sold.) 48. A company that manufactures bicycles has a fixed cost of $100,000. It costs $100 to produce each bicycle. The selling price is $300 per bike. (In solving this exercise, let x represent the number of bicycles produced and sold.) 49. You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. A sold-out performance brings in $3125. (In solving this exercise, letxrepresent the number of sold-out performances.) 50. You invested $30,000 and started a business writing greeting cards. Supplies cost 2¢ per card and you are selling each card for 50¢. (In solving this exercise, let x represent the number of cards produced and sold.)
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