Answer:
1) Does price exceed average variable cost for the first 50 units? YES
2) the average variable cost for the first 50 units = $10
3) the average variable cost for the first 100 units = [(50 x $10) + (50 x $30)] / 100 = ($500 + $1,500) / 100 = $2,000 / 100 = $20
4) What is the marginal cost per unit for the first 50 units?
marginal cost = change in cost / change in quantity = $10 / 1 = $10 per unit
5) What is the marginal cost for units 51 and higher? $30 / 1 = $30 per unit
6) For each of the first 50 units, does MR exceed MC? YES
7) For the units 51 and higher does MR exceed MC? NO
8) the firm's total cost when it produces 50 units = $100 (fixed) + $500 (variable cost x 50 units) = $600
firm's total revenue for 50 units = $1,250
Producing 50 units will maximize its profit.