Show the Steps please thank you Assume a competitive firm fa

Show the Steps please, thank you

Assume a competitive firm faces a market price of $75, a cost curve of: C = 0.25q^2 + 30q + 1,600 and a marginal cost curve of:: MC = 0.50q + 30. The firm\'s profit maximizing output level is 90.00 units, the profit per unit is $4.72, and total profit is: $424.80. However, if the firm wanted to maximize the profit per unit, how mu C h would it produce? It would produce units. (round your answer to two decimal places)

Solution

P = $75

TR = P * Q = 75Q

MR = 75

MC = 0.5Q + 30

For maximizing profit, the condition is

MR = MC

0.5Q + 30 = 75

=> 0.5Q = 45

=> Q = 45/0.5 = 90

Therefore, the firm will produce 90 units.