Question

The Grange is a firm in a monopolistically competitive market that sells farm implements. The firm collected the data below to determine the profit-maximizing price and quantity at which to sell. Using the data, what is the profit-maximizing price and quantity at which the Grange company should sell its product?

Quantity Price Total Revenue Marginal Revenue Total Cost Marginal Cost
2 $21 $42 $21 $0 $30
4 $18 $72 $15 $64 $2
6 $16 $96 $2 $72 $4
8 $14 $112 $8 $88 $8
10 $12 $120 $4 $108 $10
2 $10 $120 $0 $32 $12
4 $8 $112 $4 $160 $14

Answer 1

The profit-maximizing price is $14, and the profit-maximizing quantity is 8.

Step-by-step explanation:

This is because for a monopolistically competitive firm, the profit-maximizing quantity occurs where marginal revenue equals marginal cost. What the firm does is looking for the point in the demand curve that is exactly above the marginal cost-marignal revenue intersection, and charges the corresponding price and quantity.

We can see that for the quantity of 8, and the price of $14, both marginal revenue and marginal cost are $8, meaning that these are the quantity and price that are profit-maximizing.