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) = 54,000 + 240x + 4x^3/2

Required:
a. Find the total cost at a production level of 1000 units.
b. Find the average cost at a production level of 1000 units.
c. Find the marginal cost at a production level of 1000 units.
d. Find the production level that will minimize the average cost.
e. What is the minimum average cost?

a. C(1,000) = 420,491.11

b. c(1,000) = 420.49

c. dC/dx(1,000) = 429.72

d. x = 900

e. c(900) = 420

Step-by-step explanation:

We have a cost function for x units written as:

a. The total cost for x=1000 units is:

b. The average cost c(x) can be calculated dividing the total cost by the amount of units:

c. The marginal cost can be calculated as the first derivative of the cost function:

d. This value for x, that minimizes the average cost, happens when the first derivative of the average cost is equal to 0.

e. The minimum average cost is:

where is the page?

step-by-step explanation:

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45