A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue function R(x) = 560x. No more than 36 units can be sold. Find and analyze the break-even quantity, then find the profit function. The break-even quantity is 103 units (Type a whole number.) If the company can produce and sell no more than 36 units, should it do so?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
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A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue function R(x) = 560x. No more than 36 units can be sold. Find and analyze the break-even quantity, then find the profit function.
The break-even quantity is 103 units.
(Type a whole number.)
If the company can produce and sell no more than 36 units, should it do so?
O A. No. Since 36 is less than the break-even quantity, production of the product cannot produce a profit.
O B. No. Since 36 is equal to the break-even quantity, production of the product cannot produce a profit.
O C. Yes. Since 36 is less than the break-even quantity, production of the product can produce a profit.
O D. Yes. Since 36 is greater than the break-even quantity, production of the product can produce a profit.
Transcribed Image Text:A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue function R(x) = 560x. No more than 36 units can be sold. Find and analyze the break-even quantity, then find the profit function. The break-even quantity is 103 units. (Type a whole number.) If the company can produce and sell no more than 36 units, should it do so? O A. No. Since 36 is less than the break-even quantity, production of the product cannot produce a profit. O B. No. Since 36 is equal to the break-even quantity, production of the product cannot produce a profit. O C. Yes. Since 36 is less than the break-even quantity, production of the product can produce a profit. O D. Yes. Since 36 is greater than the break-even quantity, production of the product can produce a profit.
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