cost function of TC =100q(b)+1000. Show your steps. 1. Calculate the quantity of backpacks produced by firm A and B. 2 Calculate P the market price for backpacks
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- c) Assume that the market price for bagel services is 42 and store produces 30 units of the bagel. Calculate theprofit level. Is the store profit maximizing? Explain your answer. d) Go back to part c) and assume that there are 100 identical bagel store in the market. Determine the market supply curve. (You will obtain total market quantity, Q, as a function of price,P). Are elasticities of individual firm supply and market supply curves different? e) Given the market supply curve you have calculated in part d), now assume that market demand forhairdressers are given by Q=2900-50P. Find the equilibrium price and quantity in the market. Does the marketequilibrium correspond to long-run equilibrium? ExplainAccording to Professor Kosmos, the demand for hot chocolate from the university café has the schedule QD = 2500 – 135p, where p is the price. The owner of the café says that their supply schedule is QS = 1600 + 315p. i) Identify the café’s daily profit maximising price and quantity. ii) When a new hot chocolate machine is installed, the Professor finds that the supply schedule has changed to QS = 1625 + 365p. What are the café’s new daily profit maximising price and quantity? iii) Find the price elasticity of demand for the café’s hot chocolate and comment on the result.No written by hand solution Suppose that headphones can be produced at a constant marginal cost. Headphone A is priced at $20 and headphone B is priced at $30. (a) If the Lerner index of headphone A divided by the Lerner index of headphone B is 0.5, what is the marginal cost of producing headphones? (b) Using your answer to part ‘a’, what is the elasticity of demand of headphone A? What is the elasticity of demand of headphone B?
- Profit equals revenue minus cost. We have looked at costs. We now turn to revenue. Let us assume that firm S is a price In other words, it faces a (i) downward-sloping / horizontal (ii) demand curve / supply curve (Delete as appropriate.) Let us assume that it faces a market price of £2 per unit for its product. What is its total revenue from selling: (i) 5 units? ................................ (ii) 8 units? ................................ (c) What shape is its total revenue curve? ....................................................................................... (d) What will be its marginal revenue from selling: (i) the fifth unit? ................................ (ii) the eighth unit?…The Android phone market is highly competitive since there is a large number ofcompanies and potential entrants. For simplicity, assume each firm has an identical coststructure, and the cost does not change with new firms’ entry. Each firm’s long-run average costis minimized at 300 and the minimum average cost is $150 per unit. Total market demand isgiven byQ = 15,000 − 50P.a. What is the Android phone market’s long-run supply curve? b. What is the long-run equilibrium price (P∗) and total industry output (Q∗)? Howmany companies are competing in this market?c. The short-run total cost curve for each firm is given by STC = 0.5q^2 − 150q +20000, where q is the firm’s production quantity. Find the short-run marginal cost(SMC) for each firm. What is the market short-run supply curve?d. Suppose Android phone has become more popular and the market demandcurve shifts outward to Q = 20,000 − 50P. In the *short-run*, find the new equilibriumprice. What is the new equilibrium price in…Suppose the following data represent the market demand for catfish: Price (per unit) $20 19 18 17 16 15 14 13 12 11Quantity demanded (units per day) 12 13 14 15 16 17 18 19 20 21Total revenue — — — — — — — — — —Marginal revenue — — — — — — — — — —Compute total and marginal revenue to complete the table above. At what rate of output is total revenue maximized? At what rate of output is MR less than price? At what rate of output does MR first become negative? Graph the demand and MR curves.
- Here are the following questions. 8. The demand function for New Zealand kiwi fruit is Q- 50 -15P kiwi the fruit California fruit price/pound in cents, Al- cents, P fruit kiwi fruit advertising a. in thousands in millions of dollars, and Q quantity of of Q- curve for the P-50, P. 10 and 840-15P. NZklwiinits is: lb. Q. 50 -15P. Q- 120 -15P. d. Q -710 20 e, none of the above. 9. Given the inverse demand curve P 50- 01Q, the firm prices itself out of the market when: P $20. b, P $30. P $40. d. P $50. none of the above. 10. suppose that the quantity demanded of some candy bar is a function of the price/bar of the candy bar, P, the average price of all other candy bars, the candy bar size, and advertising, A. Q f(P, PA Z, A). The firm increases the bar size while none of the other explanatory variables change from their current levels. Therefore: a. this represents a move along the demand curve. b. this represents a shift of the entire demand curve. c at the new point on the demand curve,…An industry currently has 100 firms, each of whichhas fixed cost of $16 and average variable cost asfollows:Quantity Average Variable Cost1 $12 23 34 45 56 6a. Compute a firm’s marginal cost and average totalcost for each quantity from 1 to 6.b. The equilibrium price is currently $10. How muchdoes each firm produce? What is the total quantitysupplied in the market?c. In the long run, firms can enter and exit themarket, and all entrants have the same costs asabove. As this market makes the transition to itslong-run equilibrium, will the price rise or fall?Will the quantity demanded rise or fall? Will thequantity supplied by each firm rise or fall? Explainyour answers.d. Graph the long-run supply curve for this market,with specific numbers on the axes as relevant.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.…
- Suppose the firm faces a demand curve for its product P=32-2Q, and the firm's costs of production and marketing are C(Q)=2Q^2. Find the following; a. The formula for profit piein terms of Q b. The first order condition(FOC) and the second order condition(SOC) for maximum total revenue c. The price and quantity that maximizes total revenue, and the corresponding value of the total revenue. d.The FOC and SOC for maximum profit e. The price and quantity that maximize profit and the corresponding value of profit. f. What would the competitive price and quantity be, assuming C(Q)=2Q^2 represented the industry cost function2. You are the Southeastern Michigan regional manager at Coca-Cola, responsible forproduction and pricing in the Metro Detroit area. Your primary competitor is Pepsi. The marketresearch team at Coca-Cola is thinking about launching a new product, Orange Vanilla Coke, toboost the brand. The cost function to produce a 12-pack of 12 fl. oz. cans of Orange VanillaCoke is C(qcoke) = 0.25qcoke and the market research team has estimated inverse market demandfor a 12-pack of this new “pop” in Southeastern Michigan to be P = 10.25 – 0.00025Q. a. Assuming Pepsi decides not to produce a similar product, allowing Coca-Cola to maintainmonopoly power in the market for orange vanilla cola, what price and quantity will youchoose to maximize profit? How much profit does Coca-Cola earn?b. What price and quantity you would choose to maximize profit if Pepsi spies discover yourproduct before launch, allowing Pepsi to produce and launch an identical product at the sametime. For your answer, assume the cost…For many decades, the Royal Mail had a legal monopoly in the U.K. Companies in thepostal business have increasing returns to scale, then constant returns to scale, andthen decreasing returns to scale. The Royal Mail’s minimum average cost is £2 at 100million deliveries and its minimum marginal cost is £1 at 75 million deliveries.The demand for postage is zero at a price of £10, and demand is 300 milliondeliveries at a price of £0. Marginal revenue is zero at a price of £10 and 150 at aprice of £0.Note: Unless otherwise stated, the numerical answers in this question do not need tobe exact but should correspond to how you have drawn your graph. (a) Draw a large graph showing the Royal Mail’s average cost curve and itsmarginal cost curve. Show how many deliveries would be made, and at whatprice, if Royal Mail operated as a monopoly. Show the Royal Mail’s profit orloss on the graph.