. (a) If a firm sells Q tons of a product, the price P received per ton is P = 1000 - 13Q. Theprice it has to pay per ton is P = 800 + 15 Q. In addition, it has transportation costs of 100per ton. Express the firm's profit \pi as a function of Q, the number of tons sold, and find theprofit-maximizing quantity. (b) Suppose the government imposes a tax on the firm's productof 10 per ton. Find the new expression for the firm's profits \pi^and the new profit-maximizing quantity.

a) The profit function (π) is determined by the total revenue and total cost functions. It is the…

Answered: . (a) If a firm sells Q tons of a…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Consider the market for good x for which there is one firm controlling the market.D(q)=165-10qMC(q)=5q+15MR(q)=165-20qC(q)=2.5q^2+15q+8 (a) Find the point of equilibrium. (b) How many units must the firm produce and sell to maximize its profits? (c) What will be the price the firm will charge to consumers?
18) An appliance company determines that in order to sell x dishwashers, the price per dishwasher must be p=660-0.4x. It also determines that the total cost of producing x dishwashers is given by C(x) = 5000+ 0.6x². What is the maximum profit? A) $103,900 B) $108,900 C) $113,900 D) $212,800
5. Rusty Trawler imports oil from Saudi Arabia. His cost function (for purchasing and delivering the oil) is TC = 5000+.1Q² where Q is the number of barrels of oil delivered. He may sell all the oil he can deliver for $60 per barrel (so TR = 60Q). Given these conditions, what are Rusty's maximum possible profits? a) $0 b) $300 c) $2,500 d) $4,000
Given the following functions for shoe factory in Ohio: fi: Qa=2(90-P) 1 P==Qs 4 Where Q is quantity and P is price. fz given is the Marginal Cost for the shoe factory but this producer often dumps left over materials such as glues and dyes directly into the sewer effecting ground water in the nearby town. An expert in the field discovered that the marginal damage is a constant $9. 1. What is the social marginal cost (show all working)? 2. What is the new equilibrium when pollution damage is taken into consideration for this market? 3. What is the total surplus when accounting for the damages? (Evaluate at the SMC level) - Draw the diagram and label. 4. What is the Deadweight loss for the pollution in the event that the producers do not pay for the damages? (Identify the DWL on your diagram) 5. What is the Total Social Surplus taking damages into account?
Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal revenue for a product is MR = 1800 and the marginal cost is MC = 90Vx + 4, with a fixed cost of $600. (a) Find the profit or loss from the production and sale of 5 units. There is a -Select-- | of $ (b) How many units will result in a maximum profit? units
Price (Dollars per Bushel) 950 900 850 D 800 750 700 650 600 550 500 450 400 350 300 250 200 150 100 50 0 0 3 6 9 12 15 S 18 21 24 27 Bushels of Corn (Billions) The graph above shows hypothetical demand and supply functions for corn in the U.S. Oil prices increase due to some political problems in middle east. This causes the marginal cost of producing each bushel of corn to increase by $150.00. This is because, oil is used to produce gasoline that farmers use to operate tractors, groundwater water pumps, and other farming equipment. Higher gasoline prices also affect the costs of transporting corn to consumer centers. This number may, of course, be unrealistic. But it will make the graph less messy and calculations less cumbersome. Calculate the following:
15 x+1160 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 16 Suppose a company has fixed costs of $4000 and variable costs per unit of 1. 1300 x dollars per unit. 16 (a) Find the break-even points. (Enter your answers as a comma-separated list.) (b) Find the maximum revenue. $. (c) Form the profit function P(x) from the cost and revenue functions. P(x) = %3D Find the maximum profit. $4 (d) What price will maximize the profit? (Round your answer to the nearest cent.) %$4 Need Help? Read It Watch It
Profit Analysis Unendo, is a large computer game manufacturer. They have estimated that the demand function for their game "Star Wars Battlefront III" is as follows... STAR WARE BATTLEFRONT p = 86 - 0.05q where p is the price of a game and q is the number of game produced and sold per week. They estimate that their cost function in dollars is ... Clq) = 179 + 5000; where the fixed cost is $5000 and the marginal cost is $17 per game Unendo wishes to maximize the weekly profit of producing and selling the game. Find the maximum profit they can earn. (Round your answer to 2 decimal places, if necessary)
5) A company's cost of producing q liters of a chemical is C(q) dollars and this quantity can be sold for R(q) dollars. Suppose C(2,000) = 5,930 and R(2,000) = 7,780. a) What is the profit at a production level of 2000? b) If MC(2,000) = 2.1 and MR(2,000) = 2.5, what is the approximate change in profit if q is increased from 2000 to 2001? Should the company increase or decrease production from q = 2000 and why? %3D c) If MC(2,000) = 4.77 and MR(2,000) = 4.32, should the company increase or decrease production from q = 2,000 and why?
c) Instead of introducing the 20% corporate tax in part (b), the government decided to add an ad valorem input tax of 100% to input 2. What is the profit-maximizing amount of each input to use? What is the profit-maximizing output? How much is Rodrigo’s new profit?

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