Suppose the firm is a monopoly and the cost of production is
Suppose the firm is a monopoly and the cost of production is 20 + 5q. The marginal revenue is 26 - 5q. Fill in the rest of the table. How many units of output should the firm produce?
Solution
B.) With a view to maximize the profits, a producer will produce up to the quantity at which Marginal cost of production = Marginal revenue (MC = MR). In other words profit maximizing condition of firm is MC = MR.
Accordingly,
20 + 5q = 26 - 5q
10q = 6
q = 6/10
q = 0.6
Units of output that firm should produce = 0.6 Units [Approximately equal to 1 unit you can say, because units can non be produced in fraction in practical scenario.]
A.) The table produced in the question is filled below:-
| Output (q) | FC ($) | VC ($) = 5q | TC ($) = FC + VC | MC ($/unit) | MR ($/units) = 26 - 5q |
| 0 | 20 | - | 20 | - | - |
| 1 | 20 | 5 | 25 | 5 | 21 [26 - 5 *1] |
| 2 | 20 | 10 | 30 | 5 | 16 [26 - 5 *2] |
| 3 | 20 | 15 | 35 | 5 | 11 [26 - 5 * 3] |
| 4 | 20 | 20 | 40 | 5 | 6 [26 - 5 * 4] |
| 5 | 20 | 25 | 45 | 5 | 1 [26 - 5 * 5] |
| 6 | 20 | 30 | 50 | 5 | (-)4 [26 - 5 * 6] |
