If the profit fuction for a perfectly competitive widget is:
Profit = 100Q - 5000 - 0.2Q^2
a) What is the price of widgets?
b) Then what would the total cost function be?
c) if output is 200 units, what is the variable costs? fixed costs?
d) What is the product maximizing level of output for this producer?
e) Will the producer make a positive profit at this level of output?