Question

figure 13 - 10 shows cost and demand curves for a monopolistically - competitive producer of iced tea.
refer to figure 13 - 10 to answer the following questions.
a. what is the profit - maximizing output level?
b. what is the profit - maximizing price?
c. at the profit - maximizing output level, how much profit will be realized?
d. does this graph most likely represent the long run or the short run? why?

Explanation:

Step1: Identify profit - maximizing condition

For a monopolistically competitive firm, profit is maximized where marginal revenue (MR) equals marginal cost (MC). We need to find the quantity on the x - axis (quantity) where the MR and MC curves intersect.

Step2: Determine the profit - maximizing price

Once the profit - maximizing quantity is found, we go up to the demand (D) curve and then across to the y - axis (price) to find the corresponding price.

Step3: Calculate profit

Profit is calculated as (Price - Average Total Cost)×Quantity. We find the average total cost (ATC) at the profit - maximizing quantity, subtract it from the price, and then multiply by the quantity.

Step4: Determine long - run or short - run

In the short run, a monopolistically competitive firm can make positive, negative, or zero economic profit. In the long run, economic profit is zero due to free entry and exit. If the firm is making a positive profit (price > ATC at the profit - maximizing quantity), it is likely the short run.

Answer:

a. The profit - maximizing output level is the quantity where MR = MC.
b. The profit - maximizing price is the price on the demand curve corresponding to the profit - maximizing quantity.
c. Profit = (Price at profit - maximizing quantity−ATC at profit - maximizing quantity)×Profit - maximizing quantity.
d. If price > ATC at the profit - maximizing quantity, it is likely the short run because in the long run, new firms will enter due to positive profit, shifting the demand curve faced by the firm leftward until economic profit is zero.