g. At what positive level of Q is marginal profit maximized? You found the profit function in (e) above. Marginal profit is the first derivative of the profit function (e). Next, find the derivative of marginal profit, set it equal to zero, and solve for Q. This is the Q that maximizes marginal profit. h. What price per unit should be charged for each unit of Q found in (g)? Simply plug the Q you got in (g) into the same price function you found in (a) and also used in (d).

g. At what positive level of Q is marginal profit maximized? You found the profit function in (e) above. Marginal profit is the first derivative of the profit function (e). Next, find the derivative of marginal profit, set it equal to zero, and solve for Q. This is the Q that maximizes marginal profit. h. What price per unit should be charged for each unit of Q found in (g)? Simply plug the Q you got in (g) into the same price function you found in (a) and also used in (d).

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter11: Price And Output Determination: Monopoly And Dominant Firms

Section: Chapter Questions

Problem 3E

See similar textbooks

Similar questions

The price-demand equation for the production of bluetooth speakers is: p = 250 - 1/20x, for 0 is less than or equal to x and x is less than or equal to 5000 where x speakers can be sold at $p per each speaker. The cost to produce x speakers is given as C(x) = 150,000 + 30x, where both C(x) and p are represented in dollars ($). - find the profit function and the marginal profit and interpret the quantity P'(4500) - find the marginal cost and interpret the quantity C'(3000) - find the revenue function and the marginal revenue and interpret the quantity R'(3000)
The demand equation of a certain product is p=90-q-q². The total cost function is c=50+q-0.1q². Find the profit function. Simplify your answer as much as possible.
A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (e) What is the maximum profit?
There are 1000 pear producers that have identical cost functions, C= 200+0.025q2 where q is the number of crates of apples produced. The producers operate in a perfectly competitive market. The supply curve of each producer is ________ The total supply curve for the market is ________ At a price of 100, the elasticity of supply for the market is _________, meaning that supply is _________ For the answer options, refer to the attached image.
1.The price p in dollars of a certain commodity and the quantity x sold obey the demand equation p= -1/5x + 200 where 0<=x <=1000. Suppose that the cost C in dollars of producing x units is C= the square root of x divided by 10 + 400. Assuming that all items produced are sold, find the cost of c as a function of the price p.
A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (d) How many laundry sinks will the company need to produce in order to maximise it′s profits?
A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500 per day when producing 15 sinks. The company has a daily demand function of q = 360 − p, where q is the number if laundry sinks demanded and p is te price of a laundry sink. (c) If production increases continuously, what is likely to be the average cost per sink?
A firm faces a demand function (where q=quantity demanded and p=price): q = 200 – 2p and a total cost (TC) function (where q=output): TC = 1/2 q^2+20q+375 Find break-even point when TR=TC
Q1. A firm faces the following average revenue (demand) curve: P = 100 - 0.01Q where Q is weekly production and P is price, measured in cents per unit. The firm’s cost function is given by C = 50Q + 30,000. Assuming the firm maximizes profits, a. What is the level of production?
Marginal Cost is equal to Marginal Revenue when Price= $13 and Quantity= 350, which is the profit-maximizing price.
The demand function for a firm is; Qd = 122,000 - 500P + 4M +10,000PR where, Qd is quantity demanded, P is price per unit. M is income, and PR the price of a related good. The estimated the valueS of M and PR will be Rs 3200 and Rs 4, respectively. The firm's estimated average variable coSt function IS; AVC = 500 - 0.03Q + 0.000001Q2 a. Find the profit maximizing level of output of the firm and the price to charge. b. Should the manager continue production or shut down? Explain your answer. c. Find the level of output at which the average variable cost is at its minimum.
Given Cost and Price (demand) functions C(q)=120q+45000 and p(q)=−2.8q+900, what is the marginal revenue when costs are $80,000? The marginal revenue is ____dollars per item.