The figure depicts the demand curve of a firm producing cars, together with its marginal cost, average cost, and isoprofit curves. Based on the figure, which of the following statements is correct? Price, MC ($) 8,000 5,400 4,100 2,820 100 0 0 I 34 1 I 50 Quantity of cars, Q MC Isoprofit AC 100 O The consumer surplus in the profit-maximizing outcome is $105,300. The producer surplus in the Pareto efficient outcome is $133,960. O The deadweight loss in the profit-maximizing outcome is $20,640. The firm's profit in the Pareto efficient outcome is $100,000.
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- A 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 functionQuestion 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?The blue curve on the following graph represents the demand curve facing a firm that can set its own prices. Use the graph input tool to help you answer the following questions. You will not be scored on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. PRICE (Dollars per unit) 100 TOTAL REVENUE (Dollars) 90 80 20 10 0 1250 1125 1000 875 750 625 500 On the previous graph, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 10, 20, 25, 30, 40, or 50 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. 375 250 125 + 0 0 0 Demand 5 10 15 20 25 30 35 40 45 50 QUANTITY (Units) + 5 20 10 15 25 30 35 QUANTITY (Number of units) 40 Graph Input Tool Market for Goods 45 50 Quantity Demanded (Units)…
- On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.13. You just got a patent for the first commercial self-driving car. The following table shows the elasticity of the demand and the marginal cost of production of your cars in several production centers across the globe. Assuming that this are constant, can you approximate what would be the optimal price for your cars? City Marginal Cost Elasticity Price Wolfburg, Germany Barcelona, Spain Tokyo, Japan Ulsan, South Korea East London, South Africa Mexico City, Mexico $20, 000 $18, 000 $22, 000 $16, 000 $10, 000 $12, 000 -1.5 $60, 000.00 $24, 000.00 $33, 000.00 $32, 000.00 $11, 428.60 $14, 400.00 -4.0 -3.0 -2.0 -8.0 -6.0A7 You are the manager of a bakery that produces and packages gourmet muffins, and you currently sell muffins in packages of 3. A consultant’s report has estimated the (inverse) demand of a typical consumer to: P = 3 − 0.5Q If your cost of producing bran muffins is C(Q) = Q: (a) What is the marginal cost of muffins? (b) Draw the demand and marginal cost on a diagram. (c) Determine the optimal number of muffins to sell in a single package. (d) What price should the firm charge for each park?
- Paulina sells beef in a competitive market where the price is $6 per pound. Her total revenue and total costs are given in the table below. Quantity of beef (lb.) 0 1 2 3 4 Total revenue ($) Total cost ($) 0 4 (A) 1 pound (B) 2 pounds (C) 3 pounds (D) 4 pounds 6 12 18 24 6 10 15 21 What is the profit-maximizing (or loss minimizing) quantity? Profit ($) Marginal revenue ($) Marginal cost ($) Marginal profit ($)(b) You are the CEO for a lightweight compasses manufacturer. The demand function for the lightweight compasses is given by p = 40−4q2where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit?The accompanying graph shows the short-run demand and cost situation for a price searcher in a market with low barriers to entry. Price (dollars) 24 10 8 MC 1 I I I I ATC MR 30 ++ II II II 45 50 Quantity/time The firm will maximize its profit at a quantity of D units.
- Paulina sells beef in a competitive market where the price is $8 per pound. Her total revenue and total costs are given in the table below. Quantity of Total revenue Total cost beef (lb.) 0 1 2 3 4 ($) 0 8 16 24 32 ($) 4 8 13 19 27 Profit ($) 0 8 pounds Marginal revenue ($) c. What is the profit-maximizing (or loss-minimizing) quantity? Marginal Marginal cost ($) profit ($) a. Complete the table. Instructions: Enter your answers as a whole number. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. b. At what quantity does marginal revenue equal marginal cost? pounds AThe following graph plots daily cost curves for a firm operating in the competitive market for fitness trackers. Hint: Once you have positioned the rectangle on the graph, select a point to observe its coordinates. PRICE(Dollars pertracker) 100 90 70 60 50 40 20 10 0 0 MO ATC AVC 50 60 70 80 10 20 30 40 QUANTITY (Thousands of trackers per day) 90 100 Profit or Loss In the short run, given a market price equal to $45 per tracker, the firm should produce a daily quantity of trackers. On the preceding graph, use the blue rectangle (circle symbols) to fill in the area that represents profit or loss of the firm given the market price of $45 and the quantity of production from your previous answer. Note: In the following question, enter a positive number regardless of whether the firm earns a profit or incurs a loss. The rectangular area represents a short-run thousand per day for the firm.Q.5 A firm is making two products A & B. Each unit of A incurs a cost of production to the tune of $150 and that of B incurs a cost of $200. Product A earns a profit of $15/unit and B gets $20/unit. The estimated monthly demand of both A & B is at maximum 500 units. Monthly production budget is set at $50,000.How many units of A & B should the firm make in order to maximize profit. Conduct sensitivity analysis and answer the following questions: 1. State the optimal solution. 2. What is the objective function value? 3. Find out the range of profit for A in the objective function for which the above solution remains optimal. 4. Which constraint/s is/are binding? 5. Interpret the shadow price for production budget.