Yaster Inc. is trying to enter the thingamabob market. The research department established the following price-demand, cost, and revenue functions: Price- |p(x) = 57 – 1.14x demand function |C(x) = 215 + 11x Cost function Revenue |R(x) = xp(x) = x(57 – 1.14x) function where x is in thousands of thingamabobs and C(x) and R(x) are in thousands of dollars. The price p(x) is the price in dollars of one thingamabob when the demand is a thousand thingamabobs. All three functions have domain 1≤ x ≤ 50.
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- The Lumins Lamp Company, a producer of old-style oil lamps, estimated the following demand function for its product:Q = 120,000 - 10,00Pwhere Q is the quantity demanded per year and P is the price per lamp. The firm’s fixed costs are $12,000 and variable costs are $1.50 per lamp.a. Write an equation for the total revenue (TR) function in terms of Q.b. Specify the marginal revenue function.c. Write an equation for the total cost (TC) function in terms of Q.d. Specify the marginal cost function.e. Write an equation for total profits (π) in terms of Q. At what level of output (Q) are total profitsmaximized?What price will be charged? What are total profits at this output level?f. Check your answers in Part (e) by equating the marginal revenue and marginal cost functions, determined in Parts (b) and (d), and solving for Q.g. What model of market pricing behavior has been assumed in this problem?Dalahla Company Limited, focusing on producing tooth paste (in units) has a demand function4? = 35 − 0.5?. If total fixed cost is GH¢80 and average variable cost per unit function is 3? −51+325/Q, where Q is number of tooth paste produced and P is the price per tooth paste (in GH¢).What is the total profit at the profit maximizing level of output, and what is the best pricing policyoption?Give only typing answer with explanation and conclusion The market demand for a monopoly firm is estimated to be: Qd = 100,000 - 500P + 2M + 500PR where Qd is quantity demanded, P is price, M is income, and PR is the price of a related good. The manager has forecasted the values of M and PR will be $50,000 and $20, respectively, in 2016. The average variable cost function is estimated to be AVC = 520 - 0.03Q + 0.000001Q2 Total fixed cost in 2016 is expected to be $4 million. The profit-maximizing price for 2016 is $80. $100. $260. $520. $560.
- Consider a computer hardware production firm with total cost function TC = 2200+480Q+20Q2, and market demand function Qd = 190 – 2P; Q is output and P is market price. (a) Determine the firm’s Total Cost when it produces 120 units of output. (b) Determine the firm’s Marginal Cost when it produces 120 units of output. (c) Determine the firm’s Average Cost when it produces 120 units of output. (d) Find the market price of the firm’s output when it sells 120 units of output. (e) Determine whether the firm makes profit, or loss, at 120 units of output.The Poster Bed Company believes that its industry can best be classified as monopolistically competitive. An analysis of the demand for its canopy bed has resulted in the following estimated demand function for the bed: P=1,265−9Q�=1,265−9� The cost analysis department has estimated the total cost function for the poster bed as TC=Q33−15Q2+5Q+24,000TC=�33−15�2+5�+24,000 Short-run profits are maximized when the level of output is and the price is . The total profit at this price-output level is . The point price elasticity of demand at the profit-maximizing level of output is . The level of fixed costs the firm is experiencing on its bed production is .Given the following total revenue (TR) and total cost (TC) functions for a firm, write down the firm’s profit function. Determine the level of output the firm should produce in order to maximize profits by using the first-order condition. Confirm that this quantity represents maximum profits by using the second-order condition.TR=4000Q−33Q2TC=2Q3−3Q2 +400Q+5000
- The industry demand function for bulk plastics is represented by the following equation:P = 800 - 20Qwhere Q represents millions of pounds of plastic.The total cost function for the industry, exclusive of a required return on invested capital, isTC = 300 + 500Q + 10Q2where Q represents millions of pounds of plastic.a. If this industry acts like a monopolist in the determination of price and output, compute the profit-maximizing level of price and output.b. What are total profits at this price and output level?c. Assume that this industry is composed of many (500) small firms, such that the demand function facing any individual firm isP = $620Compute the profit-maximizing level of price and output under these conditions (the industry’s total cost function remains unchanged).d. What are total profits, given your answer to Part (c)?e. Because of the risk of this industry, investors require a 15 percent rate of return on investment. Total industry investment amounts to $2 billion. If the…The Poster Bed Company believes that its industry can best be classified as monopolistically competitive. An analysis of the demand for its canopy bed has resulted in the following estimated demand function for the bed: P=1,760−12Q�=1,760−12� The cost analysis department has estimated the total cost function for the poster bed as TC=Q33−15Q2+5Q+24,000TC=�33−15�2+5�+24,000 Short-run profits are maximized when the level of output is and the price is . The total profit at this price-output level is . The point price elasticity of demand at the profit-maximizing level of output is . The level of fixed costs the firm is experiencing on its bed production is . What is the impact of a $5,000 increase in the level of fixed costs on the price charged, output produced, and profit generated? Increase No change Decrease Price Charged Output Produced Profits GeneratedDiscuss the importance of price elasticity of demand, income elasticity of demand and cross price elasticity of demand to a sales manager selling soft drinks like Coca Cola If a firm faces the Marginal Cost schedule MC = 180 + 0.3Q2 and the MR schedule is MR = 540 = 0.6Q2 and that Total Fixed costs are $65. What is the maximum profit it can make? Assume that the second-order condition for maximum is met
- A cruise ship company offers two packages to its clients: an “economy” package and a “deluxe” package with more amenities to its higher-paying customers. The company estimates that its customers have the following demand functions: Economy package: Q(E) = 20,000 - 10PE Deluxe package: Q(D) = 5900 - 1.5PD The costs for the two services (as a function of the number of passengers) are: Economy passenger: C(QE) = 5000 + 100QE + 0.1Q^2E Deluxe passenger: C(QD) = 5000 + 200QD + 6Q^2D What prices should the company set for the economy and deluxe packages? What are the number of passengers that the ship will have in each package, and how much profit does the company make per cruise? Now assume the ship has a maximum capacity of 4,000 people. How many spaces should be arranged for deluxe passengers and how many for economy? What prices should the company set for the two packages? What is the profit for the company now?if total revenue function is given as; TR=(q2-8q+7)4 find the marginal revenue if the demand function is P= 30q2/5q+1, find dp/dqThe cost function for producing ethanol from municipal waste (wastehol) is 1000+10q2 where q is in millions/gallons per year. The demand for wastehol is currently perfectly inelastic at 5 million gallons per year. Assume that producers of wastehol are perfectly competitive. California is deciding whether to convert all wastehol producers into a regulated wastehol utility. If wastehol is a regulated monopoly utility with the cost function above, what price would regulators set as the price of wastehol? Now assume that the wasteahol market has boomed and demand has grown to 20 (again million gallons per year). Now what is the regulated price of wastehol? You are the wastehol producer and are trying to decide whther to lobby for deregulating the wastehol industry. If wastehol were deregulated, if demand remains 20, what would the perfectly competitive price be? If you are a wastehol customer, you would prefer a deregulated industry if demand were 20? True/False?