A firm has two plants that produce identical output. The cost functions are Upper C 1 equals 309 q minus 8 q squared plus 0.5 q cubed and Upper C 2 equals 309 q minus 14 q squared plus 1.0 q cubed. First, note that if AC 1equals309minus8qplus0.5q squared, then StartFraction dAC 1 Over dq EndFraction equals negative 8 plus 2 (0.5 )q . Similarly, if AC 2equals309minus14qplus1.0q squared, then StartFraction dAC 2 Over dq EndFraction equals negative 14 plus 2 (1.0 )q . At what output level does the average cost curve of each plant reach its minimum? The first plant reaches minimum average cost at nothing units of output. (E

Complete and clearly written Question:

A firm has two plants that produce identical output. The cost functions are:

and . At what output level does the average cost curve of each plant reach its minimum?

The first price reaches minimum average at 8 units of outputs

The second price reaches minimum average at 7 units of outputs

Explanation:

At minimum price,

-8 + q = 0

q = 8

At minimum price,

-14 + 2q = 0

2q = 14

q = 7

b is the correct answer

there's 11 people for the 1st position. then, no matter who gets it, there's only 10 left for the second, and then 9 left for the third. 11 x 10 x 9 = 990.   the answer is there are 990 different ways the positions can be filled by these applicants