If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost function C(x) given below. C(x) = 2,000 + 110x + 4x^3/2

(a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.)

(b) Find the average cost at a production level of 1000 units. (Round your answer to the nearest cent.)

(c) Find the marginal cost at a production level of 1000 units. (Round your answer to the nearest cent.)

(d) Find the production level that will minimize the average cost. (Round your answer to the nearest whole number.)
units

(e) What is the minimum average cost? (Round your answer to the nearest dollar.)

d

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

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try looking in the very back of the book : )

step-by-step explanation:

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70.30

step-by-step explanation: