Question

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Answer 1

Marginal Average Cost Function C'(x) = 5.7

Explanation:

The Marginal Average Cost is just the first differential of the Cost Function

`(d)/(dx) C(x) = (d)/(dx)(161) + (d)/(dx)(5.7x)\\\\\\The first differential of a constant is 0 and the first differential of ax is a \\\\So ,\\\\(d)/(dx) C(x) = 0 + 5.7 = 5.7`

This means that as x increases by 1 unit, cost increases by 5.7 units. x presumably refers to the number of units produced

The Marginal Revenue can be found the same way

`(d)/(dx) R(x) = (d)/(dx)6x - (d)/(dx)(0.08x^2)\\\\(d)/(dx)6x = 6\\\\(d)/(dx)(0.08x^2) = (2)(0.08)x`

`= 0.16x` since
`(d)/(dx) (x^2) = 2x`