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Part III: Market Structures and the Decision-Making Environment
Assume the market-determined price for your good is $4.80. Therefore, your total revenue equals
Marginal revenue equals the derivative of total revenue taken with respect to quantity, or
If your total cost function is
Marginal cost equals
Again, to determine the profit-maximizing quantity of output, set marginal revenue or price equal to marginal cost.
1. Set marginal revenue equal to marginal cost.
2. Solve for q by using the quadratic formula.
The profit-maximizing quantity of output is 800 units.
3. Determine the average-total-cost equation.
Average total cost equals total cost divided by the quantity of output.