4. The Diversified Vegetable Company grows two crops, tomatoes and zucchini. The firm is a price-taking seller. The price of a bushel of tomatoes is $20, while the price of a bushel of zucchini is $30. The firm uses the same land and the same workers to raise the two crops, and its total cost for the two crops is 5XT2 + 6XZ2 + XTXZ, where XT and XZ are the respective quantities of tomatoes and zucchini. Find the following: A. The profit maximizing level of production of tomatoes and zucchini. B. The maximized profits.

4. The Diversified Vegetable Company grows two crops, tomatoes and zucchini. The firm is a price-taking seller. The price of a bushel of tomatoes is $20, while the price of a bushel of zucchini is $30. The firm uses the same land and the same workers to raise the two crops, and its total cost for the two crops is 5XT2 + 6XZ2 + XTXZ, where XT and XZ are the respective quantities of tomatoes and zucchini. Find the following: A. The profit maximizing level of production of tomatoes and zucchini. B. The maximized profits.

Microeconomics: Principles & Policy

14th Edition

ISBN:9781337794992

Author:William J. Baumol, Alan S. Blinder, John L. Solow

Publisher:William J. Baumol, Alan S. Blinder, John L. Solow

Chapter7: Production, Inputs, And Cost: Building Blocks For Supply Analysis

Section: Chapter Questions

Problem 1DQ

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4. The Diversified Vegetable Company grows two crops, tomatoes and zucchini. The firm is a price-taking seller. The price of a bushel of tomatoes is $20, while the price of a bushel of zucchini is $30. The firm uses the same land and the same workers to raise the two crops, and its total cost for the two crops is 5T^2 + 6Z^2 + TZ, where T and Z are the respective quantities of tomatoes and zucchini. Find the following: A. The profit maximizing level of production of tomatoes and zucchini. B. The maximized profits.
A dairy business jointly produces butter and cheese from a "fixed" amount of milk as shown in the table below. The price of butter per pound is $0.5 and the price of cheese per pound is $2. According to the table, the value of (D) is Cheese gained (in pounds) Profit gained from increased Butter forgone (in pounds) Profit lost from decreased production of cheese production of butter 1 1 1 1 1 a. $4* Ob. $1 C. $2 d. $0.5 (A) (B) 2 3 4 5 6 (C) (D) (E)
7. You are economic consultant for Jack, who farms raw cotton in a perfectly competitive market. One day he gives you the following data at his present level of production: Output = 2000 pounds, market price = $5.00, total cost =$8000, fixed cost=$2000, marginal cost=$5. The minimum of AVC occurs at {1000 pounds at $2} and the minimum of ATC at {1500 pounds at $3.5}. Please help Jack with the following questions based on the above figures: a. Draw a graph for the raw cotton market and a graph for Jack’s farm current situation that includes MC, ATC, and AVC, labeling all relevant points on axes with numerical values. Is Jack maximizing the profit (minimizing the loss)? Why or why not? Label the total profit/loss area. b. Suppose more farmers enter the raw cotton market until the market price is $3.00 per pound. On the same graphs, show the effect of this change in the market place. Would you like to suggest Jack leaving the market in the short run? Explain your answer
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7. You are economic consultant for Jack, who farms raw cotton in a perfectly competitive market. One day he gives you the following data at his present level of production: Output = 2000 pounds, market price = $5.00, total cost =$8000, fixed cost=$2000, marginal cost=$5. The minimum of AVC occurs at {1000 pounds at $2} and the minimum of ATC at {1500 pounds at $3.5}. Please help Jack with the following questions based on the above figures: a. Draw a graph for the raw cotton market and a graph for Jack’s farm current situation that includes MC, ATC, and AVC, labeling all relevant points on axes with numerical values. Is Jack maximizing the profit (minimizing the loss)? Why or why not? Label the total profit/loss area. b. Suppose more farmers enter the raw cotton market until the market price is $3.00 per pound. On the same graphs, show the effect of this change in the market place. Would you like to suggest Jack leaving the market in the short run? Explain your answe
Suppose Larry runs a small business that manufactures shirts. Assume that the market for shirts is a price-taker market, and the market price is $10 per shirt. The following graph shows Larry's total cost curve. Use the blue points (circle symbol) to plot total revenue and the green points (triangle symbol) to plot profit for the first seven shirts that Larry produces, including zero shirts. 125 100 TOTAL COST AND REVENUE (Dollars) 25 ☐ Total Cost ☐ -50 0 1 2 3 4 5 6 7 8 QUANTITY (Shirts) Total Revenue A Profit (?) Calculate Larry's marginal revenue and marginal cost for the first seven shirts he produces and plot them on the following graph. Use the blue points (circle symbol) to plot marginal revenue and the orange points (square symbol) to plot marginal cost. 25 2 COSTS AND REVENUE (Dollars per shirt) 0 1 2 3 5 6 7 8 QUANTITY (Shirts) Marginal Revenue Marginal Cost Larry's profit is maximized when he produces is shirts. When he does this, the marginal cost of the previous shirt he…
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(1) Use the graph to answer the question below. The quantity is measured in thousands of units. What will this firm decide to do in the long run? A-It will stay in the market because the price is above its AVC at its profit-maximizing output. B-It will leave the market because the price is below its ATC at its profit-maximizing output. C-It will increase its price to point B to earn normal profit. D-It will increase its output until its profit-maximizing output level is equal to B. E-Insufficient data to determine. (2) A dairy farmer is operating in a perfectly competitive market. The market price for milk is between the farmer's average variable cost and average total cost at the profit-maximizing level of output. What will the farmer do? A-Produce more milk. B-Produce less milk. C-Shut down in the short run. D-Operate in the short run and leave the industry in the long run. E-Insufficient information to determine (3) A firm operating in a perfectly competitive market cannot…
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17. Here are the expenses for your silk-screened T-shirt business: $5 for each plain T-shirt and $3 per T-shirt for ink, other supplies, and the cost of silk screening. You sell the T-shirts for $10 each. Calculate the economics of one unit of sale. What is the percentage of profit based on price?