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Cost Theory and Profit Maximization

An assignment focused on cost theory and profit maximization strategies in economic models.

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    Cost Theory and Profit Maximization Week 04 Assignment 01 1. Why must marginal cost intersect average cost at minimum average cost? Use your own words, not the words in the text. (5 points) Marginal cost (MC) intersects average cost (AC) at the minimum point of average cost because of the relationship between these two costs. When marginal cost is below average cost, it pulls the average cost down, causing the average cost to decrease. Conversely, when marginal cost is above average cost, it pushes the average cost up, making the average cost increase. The point where the marginal cost curve intersects the average cost curve represents the minimum point of the average cost curve, as this is where the two forces balance each other out, and the average cost stops decreasing and starts increasing. 2. a) Say a wheat farmer from the Midwest wants to increase his total revenue. In this perfectly competitive market where there are many farmers selling wheat, the going price for wheat is $10 a bushel. Do you think this farmer can increase his total revenue by raising the price he charges for wheat? Why or why not? (5 points) In a perfectly competitive market, the price is determined by the overall market supply and demand, not by individual farmers. Since the farmer is just one of many in the market, if he raises the price of his wheat above the market price of $10, consumers will simply buy from other farmers who are selling at the market price. Therefore, the farmer cannot increase his total revenue by raising the price because he has no control over the market price. To increase his total revenue, the farmer would need to increase the quantity of wheat he sells, but even then, his revenue is still determined by the market price. b) If that farmer lived in a community where he was the only supplier of wheat and if wheat was the primary food source for the community, do you think he could increase his total revenue by raising the price he charges for wheat? Why or why not? (5 points) In this case, the farmer is a monopolist in the community, as he is the only supplier of wheat. If he raises the price of wheat, consumers will have no choice but to pay the higher price, assuming that wheat is an essential good. By raising the price, the farmer can increase his total revenue, as long as the higher price does not lead to a large enough decrease in quantity demanded. Since wheat is the primary food source, demand may be relatively inelastic, meaning that consumers will not reduce their consumption significantly in response to higher prices. Therefore, the farmer can likely increase his total revenue by raising the price, especially if the demand for wheat is inelastic. 3. a) Using both market and firm graphs for a perfectly competitive industry, show the effect of an increase in consumers’ income taxes. Assume the representative firm and market begin in long run equilibrium. Illustrate the short run effect on price, output, and profits, assuming this firm does not shut down. Label your graphs and explain your answer. (5 points) In the short run, an increase in consumers’ income taxes reduces consumers' disposable income, which leads to a decrease in demand for goods, including the good produced by the perfectly competitive firm. In the market graph, this decrease in demand shifts the demand curve leftward. The price in the market decreases due to the reduced demand.

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