Question

If short-run marginal cost and average variable cost curves for a competitive firm are given by SMC = 2 + 4Q, and AVC = 2 + 2Q, a)how many units of output will it produce at a market price of $10? (15 points)b)At what level of fixed cost will this firm earn zero economic profit?

Answer 1

Answer:

units of output  = 2 units

fixed cost = 8

Explanation:

given data

SMC = 2 + 4Q

AVC = 2 + 2Q

to find out

how many units of output will it produce at a market price and what level of fixed cost will this firm earn zero economic profit

solution

we know here that  under perfect competition

so at the equilibrium here Price (P)  will be = MC

P = MC = 10

and

SMC = 2 + 4Q ,

P = 2 + 4Q

10 = 2 + 4Q

Q = 2 units

and

at zero economic profit we get

TR = TC    

TR = P × Q

TR = 10 × 2

TR = 20

so

TC = TFC + TVC

20 = TFC + 12    

TFC  = 8

because here [ TVC = AVC × Q ]

[ TVC = (2 + 2 × 2) × 2 ]  

[ TVC = 12 ]