Microeconomic Theory
12th Edition
ISBN: 9781337517942
Author: NICHOLSON
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Question
Chapter 2, Problem 2.2P
(a)
To determine
To compute: The level of output to maximize profit and calculating profit, thereof.
(b)
To determine
To show: The second-order condition is satisfied in (a).
(c)
To determine
To discuss: If ‘marginal revenue is equal to marginal cost’ rule is followed in the calculation.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A firm has access to two production processes with the following marginal cost curves: MC1 = 0.25x and MC2 = 6+0.1y, where output in production process 1 is x, output in production process 2 is y and hence total output produced is Q = x+y. Show your work to answer the following questions. (i) If it wants to produce 20 units of output, how much should it produce with each process? (ii) If it wants to produce 38 units of output, how much should it produce with each process? (iii) If it wants to produce 108 units of output, how much should it produce with each process?
Explain why a firm might want to produce its good even after diminishing marginal returns have set in and marginal cost is on the rise.
People often believe that large firms in an industry have cost advantages over small firms in the same industry. For example, they might think a big oil company has a cost advantage over a small oil company. For this to be true, what condition must exist? Explain your answer.
A firm has access to two production processes with the following marginal cost curves: MC1 = 0.25x and MC2 = 6+0.1y, where output in production process 1 is x, output in production process 2 is y and hence total output produced is Q = x+y. Show your work to answer the following questions.
If it wants to produce 20 units of output, how much should it produce with each process?
Chapter 2 Solutions
Microeconomic Theory
Knowledge Booster
Similar questions
- The market for high-quality matsutake mushrooms is dependent on the weather. If the weather is good, one kilogram matsutake mushroom can be sold for $30. In bad weather it sells for only $20 per kilogram. Matsutake mushrooms produced one week will not be kept until the next week, A small matsutake mushrooms producer has a cost function given by C = 0.5q^2 + 5q + 100 where q is weekly matsutake mushrooms production. Production decisions must be made before the weather (and the price of matsutake mushrooms) is known, but it is known that good weather and bad weather each occur with a probability of O.5. How much matsutake mushrooms should this firm produce if it wishes to maximize the expected value of its profits?arrow_forward(29. At 100 output, marginal revenue is less than marginal cost) True False 30. In relation to question number 29, producer should produce more up to 440. True Falsearrow_forwardpart d is not answered productive inefficiency refers to the extra costs to produce a given amount relative to the lowest cost method of producing that amount. How much of this loss is due to productive inefficiency rather than market power?arrow_forward
- Suppose the cost function for a firm is given by C(Q) = 100 + Q2. If the firm sells output in a perfectly competitive market and other firms in the industry sell output at a price of $10, what level of output should the firm produce to maximize profits or minimize losses? What will be the level of profits or losses if the firm makes the optimal decision?arrow_forwardA firm's total revenues depend on the amount produced (q) according to the function R=240 q-q^(2) Total costs also depend on q:C=q^(2)+60 q+120 a) What level of output should the firm produce in order to maximize profits? What will profits be? b) Show that the second order conditions for a maximum are satisfied at the output level found in part b) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.arrow_forwardFocusing only on transportation costs, if a firm pays both the costs of transporting inputs to its plant and the finished product to its customers, the profit maximizing plant location A. minimizes the sum of the two transportation costs. B. can be anywhere between the location of the inputs and of the customers because the firm pays both sets of transportation costs. C. must always be closer to the location of the inputs because transporting inputs is always more expensive than transporting finished products. D. None of the above answers are correct.arrow_forward
- A manufacturing firm faces the cost of production as follows : Quantity Total Fixed Costs Total Variable Costs 0 $ 100 0 1 $ 100 $ 40 2 $ 100 $ 60 3 $ 100 $ 80 4 $ 100 $ 130 5 $ 100 $ 190 6 $ 100 $ 350 (a) Calculate the company's average fixed costs, average variable costs, average total costs,, and marginal costs at each level of quantity larger than zero (b) Suppose the price of the firm's product is $ 90, what is the firm's optimal production quantity? What is the firms profit under this quantity?arrow_forwardAverage and marginal profit Let C(x) represent the cost ofproducing x items and p(x) be the sale price per item if x items aresold. The profit P(x) of selling x items is P(x) = xp(x) - C(x)(revenue minus costs). The average profit per item when x items aresold is P(x)/x and the marginal profit is dP/dx. The marginal profitapproximates the profit obtained by selling one more item, given that x items have already been sold. Consider the following cost functions Cand price functions p.a. Find the profit function P.b. Find the average profit function and the marginal profit function.c. Find the average profit and the marginal profit if x = a units are sold.d. Interpret the meaning of the values obtained in part (c). C(x) = -0.02x2 + 50x + 100, p(x) = 100 - 0.1x, a = 500arrow_forwardNoah and Naomi want to produce 300 garden benches per week in two production plants. The cost functions at the two plants are C1(Q1)=800Q1−2(Q1)^2and C2(Q2)=850Q2−3(Q2)^2The corresponding marginal costs are MC1=800−4Q1and MC2=850−6Q2What is the best assignment of output between the two plants?Instructions: Enter your answers as whole numbers.Noah and Naomi should produce benches at plant 1 and benches at plant 2.arrow_forward
- Your Uncle plans to open a business that will operate five stores in the Mississauga area. Four of these firms will operate with production functions q = K1/4L1/4 while the fifth store, the Heartland Superstore will have production function q = 2K^(1/4)L^(1/4). a. Derive the long-run marginal cost curve for the business. (all five stores combined). b. He will be paying competitively determined input prices of PL = $16 and PK = $1 and can sell output for P = $32. (Do not use this information in Part a.) How many persons should he hire for each store? How many units of capital should be installed in each store? Calculate his profits.arrow_forwardSuppose the cost function for a firm is given by C(Q) = 100 + Q2. If the firm sells output in a perfectly competitive market and other firms in the industry sell output at a price of $10,A) What level of output should the firm produce to maximize profits or minimize losses?B) What are the profits at the optimal output amount? C) Should the company produce this optimal amount or should it shut down?arrow_forwardThe Campus Crustacean Company receives $2 per box for its crawfish and is selling 1,600 boxes to maximize its profits. What is the profit per box of crawfish at this equilibrium level of output if the average variable cost is $1 per box and total fixed costs are $1,200? Multiple Choice $0.25 $0.50 $1.00 $1.25arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you