Final answer:
The total revenue, marginal revenue, total cost, and marginal cost at each output level can be calculated. The profit-maximizing quantity of output is the quantity at which marginal revenue equals marginal cost.
Step-by-step explanation:
To calculate the total revenue, we multiply the price per unit ($20) by the quantity sold. For example, when one unit is sold, the total revenue is $20. When two units are sold, the total revenue is $40.
To calculate the marginal revenue, we determine the change in total revenue when one additional unit is sold. For example, when one unit is sold, the marginal revenue is $20. When two units are sold, the marginal revenue is $20 as well, because there is no change in total revenue.
To calculate the total cost, we sum the fixed costs ($20) with the variable costs for each output level mentioned in the question. For example, when one unit is produced, the total cost is $40. When two units are produced, the total cost is $45.
The marginal cost is calculated by determining the change in total cost when one additional unit is produced. For example, when one unit is produced, the marginal cost is $20. When two units are produced, the marginal cost is $5.
The profit-maximizing quantity of output is the quantity at which marginal revenue equals marginal cost. In this case, that would be two units.