A manufacturer knows that: His TR is given by Revenue = 23Q – Q2 His total cost of production is; Cost = 36 + 2Q + 0.1Q2 Where Q is the weekly production in thousands a) Economists define MR as the rate of change of Total revenue. Derive an expression for Marginal Revenue (MR) b) How do you think Economists’ would define ‘Marginal Cost’? Derive an expression for marginal Cost (MC) c) What output will make marginal Revenue equal Marginal cost?

A manufacturer knows that: His TR is given by Revenue = 23Q – Q2 His total cost of production is; Cost = 36 + 2Q + 0.1Q2 Where Q is the weekly production in thousands a) Economists define MR as the rate of change of Total revenue. Derive an expression for Marginal Revenue (MR) b) How do you think Economists’ would define ‘Marginal Cost’? Derive an expression for marginal Cost (MC) c) What output will make marginal Revenue equal Marginal cost?

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter8: Perfect Competition

Section: Chapter Questions

Problem 6SCQ: A firms marginal cost curve above the average variable cost curve is equal to the films individual...

See similar textbooks

Similar questions

D)A manufacturer knows that: His TRis given by Revenue = 23Q-Q %3D His total cost of production is; Cost = 36+ 2Q +0.1Q Where Qis the weekly production in thousands I. Economists define MR as the rate of change of Total revenue. Derive an expression for Marginal Revenue (MR) II. How do you think Economists' would define 'Marginal Cost'? Derive an expression for marginal Cost (MC) III. What output will make marginal Revenue equal Marginal cost? IV. What can you deduce? V. Find the total profit and the value of Q that maximizes profit E The costs of production of the firm are composed of K125 in Fixed cost, variable costs of K36 per unit produced and depreciation charges are given by the expression KO.05Q'. Find thelevel of output which would minimize average cost of production per unit
1. A firm’s production function is , where Ldenotes the size of the workforce. Find the value of MPLin the case when: (a) L=1, (b) L=10, (c) L=100, (d) L=1000 Does the law of diminishing marginal productivity apply to this particular function? 2. Show that the price elasticity of demand is constant for demand functions of the form where A and n are positive constants. 3. The demand and total cost functions of a good arerespectively and a) Find expressions for TR, (profit) , MR, and MC in terms of Q. b) Solve the equation and hence determine the value of Q which maximizes profit. c) Verify that, at the point of maximum profit, MR=MC. 4. The cost of building an office complex, x floors high, in a prime location in Accra is made up of three components: (a) GH¢10 million for the land (b) GH¢1/4 million per floor (c) Specialized costs of GH¢10000x per floor. How many floors should the office complex contain if the average cost per floor is to be minimized? 5. The supply…
4. A puppet maker calculates that the yearly cost of running his manufactory is $14,000. Additionally it costs him $60 to create each of his puppets. The price per puppet is determined by the following price-demand equation: p=500–2x a. Find the Cost equation for the total number of puppets produced and sold Find the Revenue equation for the total number of puppets produced and sold b. c. How many puppets does he need to make and sell to break even? d. Use the Cost and Revenue equations to find the Profit function What is the price that he needs to charge if he wants to sell exactly 80 puppets? e.
100 90 80 70 60 ATC 50 40 30 20 AVC МС О 10 + 0 0 5 10 15 20 30 35 40 45 50 QUANTITY (Thousands of shirts) or each price in the following table, use the graph to determine the number of shirts this firm would produce in order to maximize its profit. Assume hat when the price is exactly equal to the average variable cost, the firm is indifferent between producing zero shirts and the profit-maximizing uantity. Also, indicate whether the firm will produce, shut down, or be indifferent between the two in the short run. Lastly, determine whether it will nake a profit, suffer a loss, or break even at each price. Price Quantity (Dollars per shirt) (Shirts) Profit or Loss? Produce or Shut Down? Shut down 10 20,000 Loss Shut down 20 10,000 Loss Shut down 32 5,000 Loss Either 0 or 37,500 Shut down 40 Loss 25 COSTS (Dollars)
On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.
Price and cost (dollars per student) $150 120 88 76 72 ATC 40 - MC MR 24,000 30,000 36,000 Quantity of students enroiled 15,000 Your college decides to offer a psychology course as a MOOC that can be taken by students anywhere in the world, whether they are actually enrolled in your college or not. The demand and cost situation for the MOOC is shown in the figure. The faculty member who designed the course argues: "I think the course should be priced so that the maximum number of students enroll." Which price should this faculty member favor? O A. $0 В. $40 C. $88 D. $150
Use the information in the graph to the right to find the values for the following at an output level of 45. 100- The marginal cost is $ 18 . (Round your response to the nearest dollar.) MC The total cost is $ (Round your response to the nearest dollar.) АТС AVC 43 30 18 45 Quantity of output .... Cost
Homework 2.1 Suppose a business manager of the factory wants to assess in terms of elasticity of demand, whetherthe products that his business is producing are complement goods or substitute goods inconsumption. So please explain which are the factors need to consider the long-run average cost curve in terms of usage of input?
1. Micky's auto mechanic shop has a daily total cost represented by: C = 98 + 2q + 2q². Shop's marginal cost is given by: MC = 2 + 4q, where q is the number of repaired cars. a. b. Derive an expression for average cost. Find the quantity range where the shop experientes the economies scale (Hint: scale economy AC index is given by: S = MC). At what production level are scale economies exhausted??
S Costs 35 3:0 25 20 15 10 0 2 3 Quantity (Vats of juice) E Marginal Cost O Search Average Variable Cost Average Total Cost Which of the following statements are true according to the previous graph? Check all that apply. The marginal-cost curve is above the average-total-cost curve when output is greater than four and average total cost is rising. The marginal-cost curve is below the average-total-cost curve when output is greater than four and average total cost is rising. The marginal-cost curve lies below the average-variable-cost curve. C (((.
What is the marginal cost for this product?
ASK YOUR TEACHER The function gives the weekly profit, in thousand dollars, that an airine makes on its fights from Boston to Washington DC when the ticket price spelers 2nterpret the f () (60)-S When the ticket price is s (b) (60)-4.5 When the ticket price is s () (90)--2 [SA When the ticket price is s the weekly profit to the airline on fights from Boston to Washington is s MY NOTES the weekdy profit to the airtine on fights from Boston to Washington is by the weekly profit to the airine on fights from Bestion to Washington bedby