The revenue from selling x shirts is r(x) = 15x.

The cost of buying x shirts is c(x) = 7x + 20.

The profit from selling x shirts is p(x) = r(x) – c(x).

What is p(x)?

A. p(x) = 22x – 20
B. p(x) = 22x + 20
C. p(x) = 8x – 20
D. p(x) = 8x + 20

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The answer would be...
C. p(x) = 8x-20
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The profit function, p(x) is the difference between the revenue and cost function of the shirt sales, Hence, the profit function is 8x - 20

Given the Parameters :

  • Revenue function, R(x) = 15x

  • Cost function, C(x) = 7x + 20

The profit function can be expressed thus ::

  • Revenue function - Cost Function

P(x) = R(x) - C(x)

P(x) = 15x - (7x + 20)

P(x) = 15x - 7x - 20

P(x) = 8x - 20

Therefore, the profit function is 8x - 20.

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