2. If the price/demand function is p-50-1.25x and the total cost function is 160+10x, where x is the number of units (D) in thousands and cost is in dollars, determine the following; a. General Equation of the Total Profit (profit function) b. General Equation of the Total Revenue (revenue function) Breakeven points Note: Put Final Answer in the yellow box C.

2. If the price/demand function is p-50-1.25x and the total cost function is 160+10x, where x is the number of units (D) in thousands and cost is in dollars, determine the following; a. General Equation of the Total Profit (profit function) b. General Equation of the Total Revenue (revenue function) Breakeven points Note: Put Final Answer in the yellow box C.

Microeconomics: Private and Public Choice (MindTap Course List)

16th Edition

ISBN:9781305506893

Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Chapter11: Price-searcher Markets With High Entry Barriers

Section: Chapter Questions

Problem 14CQ

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The figure shows graphs of the total cost function and the total revenue function for a commodity. (Assume cost and revenue are measured in dollars.) y 500 400 300 200 100 MR 10 (a) Label each function correctly. function A ---Select--- function B ---Select--- (x, y): = 20 (b) Determine the fixed costs. $ 30 (c) Locate the break-even point. -([ = 40 50 Determine the number of units sold to break even. units A B 60 (d) Estimate the marginal cost MC and marginal revenue MR. MC = X
3. Suppose that the total revenue function for a commod- ity is R = 64x- 0.02x². (a) Find R(100) and tell what it represents. (b) Find the marginal revenue function. (c) Find the marginal revenue at x = 100 and tell what it predicts about the sale of the next unit and the next 3 units. (d) Find R(101) - R(100) and explain what this value represents.
2. If the price/demand function is p-50-1.25x and the total cost function is 160+10x, where x is the number of units (D) in thousands and cost is in dollars, determine the following; a. General Equation of the Total Profit (profit function) b. General Equation of the Total Revenue (revenue function) C. Breakeven points
need d and e rest part are solved answer is here Solution:- Given Monthly demand function: Q=300-4P .... (1) Cost function: TC=15Q+1000 ..... (2) Part a Revenue = Price * quantity Q=300-4P⇒4P=300-Q⇒P=75-0.25Q So R=PQR=75-0.25QQR=75Q-0.25Q2 ... (3) To maximize revenue, differentiate the equation 3 with respect to Q dRdQ=75-0.5Q Put dRdQ=075-0.5Q=0⇒0.5Q=75⇒Q=150 Second-order condition for revenue maximization: d2RdQ2=-0.5<0 Revenue is maximization quantity is 150 From equation 3 R=75×150-0.25×1502R=5625 The maximum revenue is $5625 part b Differentiate equation 1 with respect to Q dQdP=-4 Price elasticity is calculated as e=dQdP×PQe=-4×75-0.25×150150e=-4×0.25e=-1 Price elasticity at revenue-maximizing point is -1 part c Total cost of producing 150 units: TC=15×150+1000TC=3250 Profit at revenue-maximizing level of output: Profit = revenue - costProfit =5625-3250Profit =2375
Given cost and price (demand) functions C(q) = 100q + 41,000 and p(q) = - 2q + 890, what price maximizes revenue? My Co It would be $ per item. Cours (Round answer to two decimal places.) Anno Calen Cull
Question Four a) A fim, focusing on producing meat pie has a demand function 20 25-0.25P. If fixed cost is 145 and variable cost per urit function is 2Q- 40 + , where Q is number of meat pie produced and Pis the price per unit: i. 275 Determine the number of meat pies that maximizes the company's profit. ii. How much should the fimcharge per unit of the product? iii. Find the total profit at the profit mximizing level of output. iv. Using the own price edasticity of demand, comment on the fimis pricing policy optiors. b) The production function for Amzonbuưgers, producers of delicious burgers at Sao Tome, is given as: Q = K%L% If the wage rate is $15 per unit of labour, and cost of capital is $1,920 per unit and you have 1 unit of capital which carmot be changed, and the firmemploys 8 units of labour; i. Calculate the fimts total cost ii. Calculate the fim's average cost ii. Estimate the marginal product of labour
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If the break-even volume is the quantity for which the overall cost will be considered as Break-even, then, the total revenue does not equal to the total cost. A. True B. False O True O False School plans for set up a summer program for students. The program assessment as follows: 1. fixed costs for classroom and advertisement: $225/program 2. variable costs for handouts: $20/student 3. the program registration fee: $35/student questions: how many students to attend this program for revenue to equal cost? A. 15 B. 40 C. 25