A company that manufactures lamps has a fixed cost of $80,000 and it costs $20 to produce each lamp. Lamps are sold for $70. a. Write the cost function. C(x) = 80,000 + 20x Fixed Variable cost: cost $20 per lamp b. Write the revenue function. R(x) 70x Revenue per lamp, $70, times number of lamps sold c. Find the break-even point. Solve Sy 80,000 + 20x 70x by substitution. Solving 70x = 80,000 + 20x yields x = 1600. Back-substituting, y The break-even point is (1600, 112,000): The company breaks even if it sells 1600 lamps. At this level, money coming in equals money going out: $112,000. 112,000.

A company that manufactures lamps has a fixed cost of $80,000 and it costs $20 to produce each lamp. Lamps are sold for $70. a. Write the cost function. C(x) = 80,000 + 20x Fixed Variable cost: cost $20 per lamp b. Write the revenue function. R(x) 70x Revenue per lamp, $70, times number of lamps sold c. Find the break-even point. Solve Sy 80,000 + 20x 70x by substitution. Solving 70x = 80,000 + 20x yields x = 1600. Back-substituting, y The break-even point is (1600, 112,000): The company breaks even if it sells 1600 lamps. At this level, money coming in equals money going out: $112,000. 112,000.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

A company that manufactures lamps has a fixed cost of
$80,000 and it costs $20 to produce each lamp. Lamps are sold
for $70.
a. Write the cost function.
C(x) = 80,000 + 20x
Fixed
Variable cost:
cost
$20 per lamp
b. Write the revenue function.
R(x)
70x
Revenue per lamp, $70,
times number of lamps sold
c. Find the break-even point.
Solve
Sy
80,000 + 20x
70x
by substitution. Solving
70x = 80,000 + 20x
yields x = 1600. Back-substituting, y
The break-even point is (1600, 112,000): The company
breaks even if it sells 1600 lamps. At this level, money
coming in equals money going out: $112,000.
112,000.

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