A company makes a profit when it brings in more money
than it pays out. Suppose a company's revenue (the amount
brought in) can be modeled by R = 220x, and its costs
(the amount paid out) can be modeled by
C = 190x + 44700, where x is the number of items sold.
How many items must be sold for the company to make a
profit?

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windyyork windyyork · Answer 1 · 2020-04-24T09:44:05+02:00

Answer: There are 1490 items must be sold for the company to make a profit.

Explanation:

Since we have given that

[tex]R(x)=220x\\\\C(x)=190x+44700[/tex]

So, According to question, we get :

[tex]Profit=R(x)-C(x)\\\\Profit=220x-(190x+44700)\\\\Profit=30x-44700[/tex]

As we know that

[tex]P(x)=0\\\\30x-44700=0\\\\30x=44700\\\\x=\dfrac{44700}{30}\\\\x=1490[/tex]

So, there are 1490 items must be sold for the company to make a profit.

andromache andromache · Answer 2 · 2022-02-04T15:34:35+01:00

The number of items that must be sold for the company to make a profit is 1,490.

R = 220x

C = 190x + 44700

Here R means the revenue

And, C means the cost

Now

We know that

Profit = R - C

Profit = Revenue - cost

= 220x - (190x + 44700)

= 220x - 190x - 44700

= 30x - 44700

Now solve the above equation

So,

30x - 44700 = 0

Therefore,

x = 1,490

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