a. Johnson's pig farm faces a demand curve given by Q = 40 - 2P and has a constant marginal and average cost of $15.50 per pig reared. i. Complete the table below using the information provided How many pigs will the farm produce in order to maximize profits? Explain briefly why this is so. Quantity TR MR TC Profit 1 2 4 8
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- The figure shows a bakery's marginal and average cost curves, and its isoprofit curves. The bakery is a price-taker in a large bread market. Suppose the current market price is P₁. Based on this information, which of the following statements is correct? Price, Cost €6 (5 20 40 60 80 Quantity MC hoprofits AC 100 120 140 160 180 number of loaves Select one or more: a. The bakery would be better off raising its price up to its AC level. O b. The bakery would be minimising its loss at A. Oc. If the bakery is not yet in the market then it would not enter the market. d. If the bakery is already in the market, then it would always immediately exit the market because it is making a loss.Price and cost (dollars per student) $150 120 88 76 72 ATC 40 - MC MR 24,000 30,000 36,000 Quantity of students enroiled 15,000 Your college decides to offer a psychology course as a MOOC that can be taken by students anywhere in the world, whether they are actually enrolled in your college or not. The demand and cost situation for the MOOC is shown in the figure. The faculty member who designed the course argues: "I think the course should be priced so that the maximum number of students enroll." Which price should this faculty member favor? O A. $0 В. $40 C. $88 D. $150A7 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?
- A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…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 functionX 1 ences If the price of oats is $3.0 per kilo, calculate the total revenue and the total profit (or loss) at the quantities shown in below table. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. Leave no cells blank - be certain to enter "0" wherever required. Mc Graw Hill Quantity (kilos) Total revenue Total cost Total profit $ 600 1800 $1,900 700 2100 $2,000 $ 800 2400 $2,400
- 100 90 80 70 60 ATC 50 40 30 20 AVC МС О 10 + 0 0 5 10 15 20 30 35 40 45 50 QUANTITY (Thousands of shirts) or each price in the following table, use the graph to determine the number of shirts this firm would produce in order to maximize its profit. Assume hat when the price is exactly equal to the average variable cost, the firm is indifferent between producing zero shirts and the profit-maximizing uantity. Also, indicate whether the firm will produce, shut down, or be indifferent between the two in the short run. Lastly, determine whether it will nake a profit, suffer a loss, or break even at each price. Price Quantity (Dollars per shirt) (Shirts) Profit or Loss? Produce or Shut Down? Shut down 10 20,000 Loss Shut down 20 10,000 Loss Shut down 32 5,000 Loss Either 0 or 37,500 Shut down 40 Loss 25 COSTS (Dollars)A movie theater shows films for a community of 10000 people. Right now, the price per ticket is $17.50. In the past, when they increased or decreased the price per ticket, they discovered that for every dollar (or fraction) that the price was increased or decreased, the attendance decreased or increased proportionally by 200 people. The theater owner pays the Film Distribution Company $10 (incremental cost) in royalties per person whoviews the film. Find a. The willingness to pay distribution of the movie goers. b. The average price they would be willing to pay. c. The price per ticket that maximizes revenue. d. Should the theater owner increase or decrease the price per ticket if she wants to maximize contribution? e. Find the consumer surplus if the tickets are priced at the price that maximizes contribution. Please complete in excel showing formulas on how it was completedGater Tools, a profit-maximizing firm, has a patent on a power tool, making it the only producer of that power tool. Thegraph above shows GaterTools' demand, marginal revenue, average total cost, average variable cost, and marginal costcurves.(a) Calculate GaterTools' total revenue if the firm produces the allocatively efficient quantity. Show your work.(b) Starting at a price of $12, if GaterTools were to increase the price by 4%, will the quantity demanded decrease bymore than 4%, less than 4%, or exactly 4%? Explain.(c) At a quantity of 10 units, is GaterTools' marginal product increasing, decreasing, or constant? Explain. (f) Does GaterTools have a dominant strategy? Explain using numbers from the payoff matrix.(g) Identify the Nash equilibrium. Explain why this is a Nash equilibrium using information from the payoff matrix.(h) Suppose HandyBilt makes a credible commitment to GaterTools that if GaterTools maintains its price, then HandyBiltwill pay GaterTools $250. Will this offer…
- Suppose a local retailer is running the following sale on jugs of detergent: $20 each or 3 for $56. The total cost of purchasing two jugs is. The marginal cost of the third jug is _____. $60; $56 0 $56; $16 $56; $60 $40; $16 O $16; $40 OThe following graph plots daily cost curves for a firm operating in the competitive market for rompers. Hint: Once you have positioned the rectangle on the graph, select a point to observe its coordinates. (?) PRICE (Dollars per romper) 50 45 40 3.5 30 20 15 10 10 5 0 + 0 2 MC ATC AVC 4 6 8 12 14 16 QUANTITY (Thousands of rompers per day) 10 18 H 20 Profit or LossBill runs a business that makes custom-printed towels. It will cost him $8 each to purchase and print on towels, and he will have to pay a rent of $1,700 per month for him workshop. Based on market research, Bill estimates that he can sell custom towels for $25 each. a) Calculate the number of towels he needs to sell per month to break-even. towels b) Calculate the break-even in dollars (round off to the nearest cent).
