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yKpoI14uk [10]
2 years ago
7

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. More than

how many radios must be produced and sold for the company to have a​ profit?
The company must produce and sell more than ? radios to have a profit.

Mathematics
1 answer:
Lyrx [107]2 years ago
5 0
ANSWER

The company must produce and sell more than 700 radios to have a profit.

EXPLANATION

The revenue function is

R(x)=40x
and the cost function is

C(x)=5,600+32x


The company will break even when total revenue is equal to the total cost.


This implies that,


40x =5,600+32x

We group similar terms to get,


40x - 32x = 5600

This simplifies to,

8x = 5600

Divide both sides by 8 to get,


x =  \frac{5600}{8}


x = 700


The company breaks even by producing and selling 700 radios.

The company must produce and sell more than 700 radios to have a profit.
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