Dalahla Company Limited, focusing on producing tooth paste (n units) has a demand function 4Q = 35 – 0.5P. If total fixed cost is GH¢80 and average variable cost per unit function is 3Q – 51 + e, 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 policy option? 320

Dalahla Company Limited, focusing on producing tooth paste (n units) has a demand function 4Q = 35 – 0.5P. If total fixed cost is GH¢80 and average variable cost per unit function is 3Q – 51 + e, 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 policy option? 320

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

ChapterB: Differential Calculus Techniques In Management

Section: Chapter Questions

Problem 2E

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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?
ABC Company Limited is a new business established to produce tables (in units). The demand function for tables is given as 4? = 35 − 0.5?. It has been estimated that the total fixed cost is GH¢80 and average variable cost function is 3? − 51 + 320, where Q is number of tables produced ? and P is the price per table (in GH¢). Given this information, what is the total profit at the profit maximizing level of output, and what is the best pricing policy option?
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)
A price-taking firm's variable cost function is C = Q3, where Q is the output per week. It has an avoidable fixed cost of $1,024 per week. Its marginal cost is MC = 3Q2. What is the profit maximizing output if the price is P = $192? 0 or 5.33 or 8 5.33 or 8 0 or 5.33 0 or 8
James mainly sells confectionery items, newspapers, magazines and cigarettes in his convenience store. Noting his small business is not thriving, he thought of selling hot pies and rolls too. Suppose the total cost function for rolls and pies is, TC = 900 + 50Q, Q = Q1 + Q2 Where Q1 and Q2denote the quantities of rolls and pies respectfully. If P1 and P2 denote the corresponding prices, the inverse demand equations are. Q1 = 70 - P1 and 0.5Q2 = 100 - P2 a)If James decides to make a total of 48 rolls and pies per day and charges different prices as above (that is, P1 ≠ P2 ), how many of rolls and pies each should he make in order to maximize the profit of a particular day? Estimate and interpret the Lagrange Multiplier λ [note: assume second-order conditions are satisfied]. b)Using your knowledge of input-output tables, explain which components of the economy will be affected if all convenience stores, including James’, closed down for three months due to the COVID-19. What would…
A price-taking firm's variable cost function is C = Q3, where Q is the output per week. It has an avoidable fixed cost of $2,000 per week. Its marginal cost is MC = 3Q2. What is the profit maximizing output if the price is P = $192? Multiple Choice A. 0 B. 6 C. 10
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 .
Habib Bank Limited estimates equation of demand of its product as: Q = 55 – 0.5P - (where P = price and Q = Quantity of output), and its total cost of production as                              TC = 20 + Q + 0.2Q2     Where TC = total cost and Q = Quantity of output) Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC? Average Variable Cost AVC? Average Fixed Cost AFC.? Marginal Cost MC? The output level that will maximize total profit and the amount of revenue and profit that Habib Bank would receive at optimal level of production.? The output level that minimizes average total cost.? please answer all questions
Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets, Bangladesh and Sri Lanka. Demand for Bicycles in these two markets is given by the following Functions: Bangladesh                 Q1 = 12 – P1                                                             Sri Lanka                    Q2 =   8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) Now consider two cases: (i) Company is effectively able to price discriminate in the two markets. What will              be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging the same price in the two markets what are the profit maximizing levels of price, output, and the total profits?                                                                             Analyze, with graphs, the two alternative pricing…
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 Generated
Define Q to be the level of output produced and sold and assume that the firm’s cost function is given by the relationship: TC = 20 + 5Q+Q2. Furthermore, assume that the demand for the output of the firm is a function of price P given by the relationship: Q=25− P a)Define total profit as the difference between total revenue and total cost and express in terms of Q the total profit function for the firm. Note: Total revenue equals price per unit times the number of units sold. b)Determine the output level where total p rofits are maximized. c)Calculate total profits and selling price at the profit-maximizing output level. d) If fixed costs increase from $20 to $25 in the total cost relationship, determine the effects of such an increase on the profit-maximizing output level and total profits. Use the cost and demand functions in Exercise 5 to calculate the following: e)Determine the marginal revenue and marginal cost functions. f) Show that, at the profit-maximizing output level…
Define Q to be the level of output produced and sold, and assume that the firm’s cost function is given by the relationship TC = 20 + 5Q + Q2 Furthermore, assume that the demand for the output of the firm is a function of price P given by the relationship Q = 25 - P a. Define total profit as the difference between total revenue and total cost, and express in terms of Q the total profit function for the firm. (Note: Total revenue equals price per unit times the number of units sold.) b. Determine the output level where total profits are maximized. c. Calculate total profits and selling price at the profit-maximizing output level. d. If fixed costs increase from $20 to $25 in the total cost relationship, determine the effects of such an increase on the profit-maximizing output level and total profits.