The following table shows the cost of production for a perfectly competitive firm. If the market price is $8.80 per unit, given the profit-maximizing level of output what would be the total cost? Notice that the marginal cost of 4.8 corresponds to the point where the output is 400, it is set in the middle to emphasize that it is derived from the change from 300 to 400 output. The marginal cost 6.8 corresponds to the point the output is 500 and so forth. Average Variable Cost Output Average Total Cost Marginal Cost 300 6.67 10.8 4.8 400 6.2 9.3 6.8 500 6.32 8.8 8.8 600 6.73 8.8 12 700 7.49 9.26
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- Jeremy worked at a bank with a monthly salary of $1,500. He decided to quit his job and open a bookstore inhis neighborhood. He now pays $500 in rent, $80 in utilities and $120 in wages every month. He also paysthe publisher $5 per book sold. This month Jeremy sold 100 books at the price of $30 per book.a. What was the total revenue this month? Calculate this month’s explicit fixed cost, the variable costand the total cost.b. How much accounting profit did Jeremy make?c. How much economic profit did Jeremy make?d. If Jeremy had not quit his job at the bank, he could have been promoted and got a pay raise of 30percent. How would this affect his accounting profit and his economic profit?A firm has a linear demand function for its product. When the price of the product isSh.220, the quantity demanded is 40 units. When the price increases to Sh.240, thequantity demanded becomes 30 units. In addition, the firm’s marginal cost function isgiven by:MC = 40q – 2q2 + 2Fixed cost = Sh.5 millionWhere q = quantity demanded, MC = marginal cost (Sh. million)Evaluate the level of output that maximizes profits.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.
- For a firm with a Total Cost function TC C(Q), recall that the definitions of Marginal Cost (MC) and AverageTotal Cost (ATC) are given as follows:Marginal Cost (MC) = C'(0)Average Total Cost (ATC) = C(Q)/QProve that the marginal cost is equal to the average total cost (MC = ATC) when the average total cost is at itsminimum value.(Hint: By using the definition of average cost function, find the quantity that minimizes it by applying unconstraint optimization.Show that the FOC of the minimization problem implies that MC=ATC has to be satisfied at the minimum level of average cost.)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 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…
- 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. $150The marginal and average total cost curves for barbers in an area are cosntant at $12.00/haircut. The daily demand curve for haircuts in the area is given by: P = 22 - 0.001Qd where P is the price in dollars per haircut and Qd is the daily quantity demanded in number of haircuts. Haircuts are provided in a perfectly competitive market and each barber can provide exactly 25 haircuts daily. Suppose that the government decides to limit the number of barbers to 320. Each year, barbers must obtain a government-issued license to cut hair. Based upon the previous information: a. What will be the long-run equilibrium price for a haircut given there are only 320 licensed barbers?b. How much economic profit will each licensed barber earn daily?Many hospitals have regularly scheduled surgery and active emergency departments. Based on the information in the Mini-Case "Medical Economies of Scope," could it be cost effective to have separate emergency centers? What do you think are the reasons for these economies or diseconomies of scope? According to the information in the Mini-Case, having emergency centers separate from non-emergency services OA. would be cost effective due to diseconomies of scope. OB. would not be cost effective due to diseconomies of scope. OC. would not be cost effective due to economies of scope. O D. would be cost effective due to economies of scope.
- See Hi At a market price of $5 your artisanal pencil business maximizes profits by producing 484 pencils per day. When you produce this quantity of pencils per day, your average cost per unit is $4. What is your total revenue per day? S What is your total cost per day? S What is your daily profit? Sa lobaster catch is sold by a fisher at $15 per kilogram the lobster fisher has the following total costs at each possible quantity $1500 at 0 kiklograms ,$3200 at 800 kilograms and $12200 at 1000 kilograms a) creat a table with following 10 coloumns :1 ) price 2) quantity 3) total revenue 4) fixed cost 5) variable cost 6) total cost 7) average fixed cost 8) average variable cost 9) average cost and 10) marginal cost .fill in this table based on the information provided in the question b) Draw the fishers marginal revenue ,marginal cost and average cost curves on graph ,plot only the two endpoints at 0 and 1000 kilograms for the marginal revenue curve and plot five points for each of the marginal cost and average cost curves for a total of 12 points (exclude the origin point for both costcurves) remember to plot marginal values such as marginal cost halfway between the two relevant quantities on the horizantal axis c) what is the fishers profit -maximizing or loss -mininmizing quantity…A company manufacturing laundry sinks has fixed costs of $100 per day but has totalcosts of $2,500 per day when producing 15 sinks. The company has a daily demand functionof q = 360 − p, where q is the number if laundry sinks demanded and p is te price ofa laundry sink. ) If production increases continuously, what is likely to be the average cost per sink? How many laundry sinks will the company need to produce in order to maximise it′s profits? What is the maximum profit?