The marginal revenue function for Johnson Widget Works (JWW) is given by dr 100q+43 dq q² +4q+3 = where q, JWW's output (-demand), is measured in 100s of widgets/week and JWW's revenue is measured in $1000s/week. JWW's marginal cost is constant, dc/dq = 3, and their cost is also measured in $1000s/week. Suppose that the demand for JWW's product increases from 2000 to 2500 widgets/week In this case, their weekly revenue will increase by [Select] and thei weekly profit will change by [Select]
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- A particular item in the Picasso Paints product line costs $7 each tomanufacture. The fixed costs are $28,000. The demand function isq = -500p + 30,000 where q is the quantity the public will buy at a given price, p. 1) Write the expense function in terms of p.2) How much profit would the firm make if the price was $12?3) What is the revenue equation?Windies Cricket manufactures Windies supporter jerseys. The quantity q, of thesejerseys demanded weekly is related to the wholesale price per jersey p, by thefollowing equation:? = −0.006? + 15The weekly total cost incurred by Windies Cricket for producing q jerseys is:?(?) = 38? − 0.02?2 + 30,000a. Determine an expression to represent the weekly Revenue functionb. Determine an expression to represent the weekly Profit function.c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold.d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450jerseys?e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, whatrange(s) of Windies jerseys should be produced. f. Calculate the equilibrium price and quantity for Windies jerseys.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…
- A local microbrewery has total costs of production given by the equation TC=500+10q+5q2. This implies that the firm's marginal cost is given by the equation MC=10+10q (you do not need to be able to show this). The market demand for beer is given by the equation QD=105 – (1/2)*P. a) Write the equations showing the brewery's average variable cost.Natural-ExP is a unique company that is dedicated to making day trips to the Nevado de Toluca. The service includes transportation, food and guide service. Being the number of tickets sold, if the cost function of serving a new customer is Cmg = 20q, the marginal revenue function Img = 600−40q and the demand is q = (600 − p) /20. Under this scenario, what is the price of the excursion. $400 $600 $300 $100Give 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.
- Suppose that the steel firm’s costs are shown below: Complete the table and determine the optimal output to be Price of steel is P175 per unit. Output (Q) TFC TVC TC MC TR MR Profit/Loss 0 500 0 1 500 50 2 500 90 3 500 140 4 500 200 5 500 270 6 500 350 7 500 450 8 500 600 9 500 800Wakanda is a firm that solely supplies vibranium to Marley and Paradis. The demand function of the Marley market is given as QM=110-PM , and the demand function of the Paradis market is QP=30-PP . Wakanda’s total cost in producing vibranium is given as TC=100+10Q , where represents a ton of vibranium. 5. Compute the mark up price on each market and interpret the results.he total revenue curve of a firm is R(q)=40q−12q and its average cost A(q)=130q−12.85q+20 +400q,where q is the firms output. i. Derive an expression C(q) for the firms total cost function. ii. Derive an expression Π(q) for the firms profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firms profit is maximized. v. What is the firmss maximum profit?
- In a market that produces hotdogs operates in the long-run, and that each firm and potential entrant has a LRAC AC=10Q²-5Q +20 and a LRMC MC = 30Q³ - 10Q +20, where Q is thousands of units per year. The demand for hotdogs is given as D(P) = 39,000 -2,000P. (a) Solve for the market clearing condition.Question 1: Given the following cost function:TC = 1500 + 15Q – 6Q2 + Q3i. Determine the total fixed cost for producing 1000 units of output and 500 units of output.ii. What is AFC at:a) 1000 units of outputb) 500 units of outputiii. Determine TVC, AVC, MC and AC at 50 units of output. Question 2: The demand function equation faced by PTCL for its computers is given by:P = 50,000 – 4Qi. Write the marginal revenue equationii. At what price and quantity marginal revenue will be zero?iii. At what price and quantity will total revenue be maximized? Question 3: Suppose the following demand and supply function:Qd = 750 – 25PQs = -300 + 20 Pi. Find equilibrium price and quantityii. Find consumer and producer surplus Question 4: Given production function:Q = L 3/4 . K1/4Find out the optimal quantities of the two factors using Lagrangian method, if it is given that price of labor is Rs.6 and price of capital is Rs.3 and total cost is equal to Rs.120.Question 5: Given the cost function isTC = 6L…In a market that produces hotdogs operates in the long-run, and that each firm and potential entrant has a LRAC AC = 10Q2 − 5Q + 20 and a LRMC MC = 30Q3 - 10Q + 20, where Q is thousands of units per year. The demand for hotdogs is given as D(P) = 39,000 - 2,000P. (a) Solve for the market clearing condition.