Consider the following cost function. A. Find the average cost and marginal cost functions.
B. Determine the average and marginal cost when x = a.
C. Interpret the values obtained in part (b).
C(x) = 1000 + 0.1x, 0 ≤ x ≤ 50000 ≤ x ≤ 5000, a = 2000

a)Average cost function =

Marginal cost function =

b)

c) is the average cost to produce first 2000 items

C'(2000)=0.1 is the marginal cost to produce 2001 th item

Step-by-step explanation:

Cost function:

a)Find the average cost and marginal cost functions.

Average cost function =

Average cost function =

Marginal cost function =

b) Determine the average and marginal cost when x = a.

a = 2000

Average cost function =

So,

Marginal cost function =

c)Interpret the values obtained in part (b).

is the average cost to produce first 2000 items

C'(2000)=0.1 is the marginal cost to produce 2001 th item

it would take 7/10 of an hour too fill the pool.

step-by-step explanation:

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.