High School

What is the cost, in dollars, to produce \( x \) designer dog leashes if the cost function is given by [tex] c(x) = 9x^6 [/tex], and the revenue function is given by [tex] r(x) = -2x^2 + 57x [/tex]?

A. [tex] 9x^6 - 57x [/tex]

B. [tex] 9x^6 + 2x^2 [/tex]

C. [tex] 57x - 9x^6 [/tex]

D. [tex] 2x^2 - 57x [/tex]

Answer :

Final answer:

The cost to produce x designer dog leashes is given by the function c(x) = 9x^6.

Explanation:

To find the cost to produce x designer dog leashes, we use the cost function c(x), which is given as c(x) = 9x^6.

This means that for each leash produced, the cost is given by 9 times x raised to the power of 6.

So, the cost of producing x designer dog leashes is $9x^6.

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