Problem: Segun Gorcery stores operates in a perfect competitive setting. He sells a particular brand of beverage which is homogenous in the market. The cost and price functions for the beverage are outlined below:
P = 120 - 0.5Q ...................1
C= 420 +60Q + Q2..............2
Required:
Question 1: Determine the optimal output which maximizes his profit
Question 2: What is the profit level?
Question 3: At what price will he sell the products?
Please show steps how you get an answer and please be clear in your explanation.