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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- 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 800Attempt all questions. Q1. a) A local Pepsi company has total costs of production given by the equation TC-500+10q+Sq2. This implies that the firm's marginal cost is given by the equation MC 10+10q. The market demand for cold drink is given by the equation QD-105 (1/2)*P. Write the equations showing the company's average total cost and average variable cost and average fixed cost, each as a function of q. Show the firm's MC, ATC and AVC on one graph. What is the breakeven price and breakeven quantity for this firm in the short run? What is the shutdown price and shutdown quantity for this firm in the short run? If the market price of the output is $50, how many units will this firm produce? iv) Assuming the cold drink industry is perfectly competitive, what output would be produced by the firm in long-run equilibrium? What would be the long-run equilibrium price? i) ii)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 $100
- 2) If the marginal-revenue function for a manufacturer's product is dr 2000-20g-3g² dq find the demand function.PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. a- 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 b- Given above costs can you determine what will be the firm’s production in Stage 1? c- What is the breakeven price and breakeven quantity for this firm?What is the marginal revenue for the following: qty: 100, 200 Price:39750, 39500 Revenue:3975000, 7900000 Total Cost: 2000000,4000000 Profits: 1975000,3900000 Marginal Revenue ___?, ___? Suppose that managers at Honda are deciding how to price the new Honda Accord. The managers estimate that their total costs increase by $20,000 for each car they produce. They also estimate the demand curve they face; it is described by the equation: Q = -0.4 P + 16,000, where Q represents the quantity of Honda Accords they will sell and P represents the price they charge in US dollars. We can re-write that demand curve as: P = 40,000 - 2.5 Q. Take every possibly quantity that the managers might choose between 0 and 7,000 in units of 100. For each possible quantity, calculate the associated price the managers would need to charge, the revenue they would earn, and the total costs. You can then calculate profits for each level of quantity. Highlight the cell that contains the highest value of profit.…
- Rubidoux Adventures supplies professional guides for climbs up Mt. Rubidoux. The company has two guides, Rocky and Cliff. Because Mt. Rubidoux is a pretty easy climb, the company has only two customers, Ken and Lucy. The table below shows the guides' marginal costs for each climb as well as the customers' MWTP for guided climbs. Use this table to answer the questions that follow. Assume that only whole climbs are available. MCRocky (S/climb) Climbs MCClff MWTPKen MWTPLucy (S/climb) (S/climb) (S/climb) 1 4 1 24 22 2 6. 23 21 3 7 4. 21 18 4 11 7 19 16 13 9 17 11 16 12 14 8 7 19 14 11 6 21 16 9 3 What is Ken's reservation price? O a. 22 Ob. 23 OC 24 O d. 21A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit functionA bike designed by an engineering firm has the demand curve Q - 2, 000 – 100P where Pis the price. It will cost $1, 000 to test this type of bike by the R&D department. It is necessary to do this before the bike goes into production. In addition to the testing cost, there is a marginal cost of $4 per bike for every bike produced. What is marginal revenue assurming Q – 100? Select one: O a. 10 O b. 18 O c. None of the above O d. 16 If firm 1 chooses its output level first and then firm 2 responds to this choice, this is called a simultaneous play game. Select one: True O False An equilibrium is when each firm's input level is a best response to the other firm's input level. Select one: OTrue False
- Suppose a monopoly market has a demand function in whichquantity demanded depends not only on market price (P) butalso on the amount of advertising the firm does (A, measuredin dollars). The specific form of this function isQ =(20 - P2) (1 + 0.1A - 0.01A2).The monopolistic firm’s cost function is given byC = 10Q + 15 + A.a. Suppose there is no advertising (A = 0). What outputwill the profit-maximizing firm choose? What market price will this yield? What will be the monopoly’sprofits?b. Now let the firm also choose its optimal level of advertising expenditure. In this situation, what output levelwill be chosen? What price will this yield? What will thelevel of advertising be? What are the firm’s profits in thiscase? Hint: This can be worked out most easily by assuming the monopoly chooses the profit-maximizing pricerather than quantity.Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by C(x) = 10 + 0.10x + 0.001x² dollars. (a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.] R'(x) %3D P'(x) (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition. revenue 2$ profit 2$ marginal revenue $ per additional copy marginal profit $ per additional copy Interpret the results. The approximate loss from the sale of the 501st copy is $ (c) For which value of x is the marginal profit zero? X = copies Interpret your answer. The graph of the profit function is a parabola with a vertex at x = , so the profit is at a maximum when you produce and sell copies.Question 1 Sal's Streaming Company streams TV shows to subscribers in the US and Canada. Demand is Qus 50 (1/3)Pus - QCA 80 (2/3)P CA = - where Q's are in thousands of subscriptions per year and P's are the subscription prices per year. The cost of providing Q units of service is given by TC = 1000 + 30Q, where Q = Qus+ QCA (a) What are the profit-maximizing prices and quantities for the US and Canadian markets? (b) As a consequence of a new VPN service that Facebook has developed, subscribers in Canada are now able to get the US streams and vice versa, so Sal can charge only a single price. What is the profit-maximizing single price that he should charge? (c) In which situation is Sal better off? In terms of consumers' surplus which situation do people in Canada prefer and which do people in the US prefer? Why?