Firm A and Firm B are the only two firms in a market where price is determined by the inverse demand function: P = 147 - Q. Q is the sum of Firm A and Firm B's output, so Q = 9A + 9B Firm A's total cost function is given by TCA(9A) = 39A Firm B's total cost function is given by TCB(9B) = 89B If these firms Cournot compete (simultaneously setting quantities), what will market price be when both firms are maximizing profits in equilibrium? (Note: The answer may not be a whole number, so round to the nearest hundredth)
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- Suppose that each firm in a competitive pizza market has the following identical cost: Total cost: TC=25+1.5Q2 The market demand function for the pizza market in the above question 2(a) is: Q= 120-P, where P is the price and Q is the total quantity of the pizza. Currently, there are 12 firms in the market. i. Formulate the equation or level of fixed cost, variable cost, marginal cost, average variable cost (AVC) and average total cost (ATC) for each firm. ii. Formulate each firm’s supply function based on the cost information prior to innovation and determine the market supply function in the short run. The total number of firms in the market is assumed to be fixed. iii. Calculate the price and quantity of pizza in the market and the quantity produced by each firm while the market is at the short-run equilibrium. Use a diagram to illustrate this short-run equilibrium and calculate each firm’s profit or loss. Discuss whether each firm has an incentive to leave or stay in the market.…Suppose there are in total 3 firms in the market. Firm 1 decides its output first, then Firm 2 and Firm 3 decide their outputs simultaneously. The inverse demand function is p = 14 – 3q, where q = q1 + q2 + 43, and each firm's cost function is c(q.) = 2q?. What is the quantity that Firm 1 produces? Round your answer to 2 decimal points. Answer: The correct answer is: 1.04Consider a market for a portable hard drive. Suppose that there are 50 firms producing the identical portable hard drive, and so the market can be considered to be competitive. The market demand for the portable hard drive is given by QD = 1800 – 10P, where Qp is the market demand, and P is the price. Each firm's cost function is given by C(q;) = 8+ q? /2, where q; denotes the quantity produced by firm i. Answer the following questions to find the competitive equilibrium price and quantity. (1) (10 points) What is the market supply, Qs? (2) (10 points) What is the market equilibrium price and quantity? (3) (10 points) What is the equilibrium profit for each firm?
- There are 80 firms of type A and 60 firms of type B in a perfectly competitive market. On one hand, type A firm faces a fixed cost (all sunk) of $12 and average variable cost is 2q. On the other hand type B firm faces a fixed cost (all sunk) of $100 and the variable cost is 3g. Market demand function is given by Q=1200-70P Find the equilibrium quantity of a type A firm and its profit, respectively. Oq=4, profit-$4 Oq=2, profit=$4 q-3, profit=$6 q=5, profit-$23Given the cost function underlying the figure, would two firms producing output Q (>0) always incur more total cost than one firm producing Q? 60- 55 Let q, be the output of Firm 1 and q, be the output of Firm 2. 50- According to the figure, the total cost of two firms producing Q (as a function of Q) is 45- 40- C(q+) + C(q2)=[]. 35- A 30- The total cost of one firm producing Q (as a function of Q) is E 25 C(Q) =]. く 20- 15- Thus, compared to one firm producing output Q, two firms producing output Q incur V total cost. 10- HAC MC 10 11 12 13 14 15 16 Q, Units per day Enter your answer in each of the answer boxes. JUL 11 MacBook Pro esc G Search or type URL @ #3 $ % & * AC MC, $ per unitA boutique chocolate manufacturer produces 2 types of chocolate, Dark chocolate, and Milk chocolate daily with a total cost function: TC = 7D + D x M + 3M where: D is the quantity of the Dark chocolate (in kgs) and M is the quantity of the Milk chocolate (in kgs). The prices that can be charged are determined by supply and demand forces and are influenced by the quantities of each type of chocolate according to the following equations: PD = 20-D + 5M for the price (in dollars per kg) of the Dark chocolate and PM 23 + 3D - M for the price (in dollars per kg) of the Milk chocolate. The total revenue is given by the equation: TR = PD XD + PM × M and the profit given by the equation Profit = TR-TC First, use a substitution of the price variables to express the profit in terms of D and M only. Using the method of Lagrange Multipliers find the maximum profit when total production (quantity) is restricted to 2023 kgs. Note D or M need not be whole numbers. Be sure to show that your solution…
- Consider a perfectly competitive market with the market demand functionQd = 1000 − 10pThere are many small, identical firms in the market. Each firm has the marginal cost function:MC = 10 + 10qand the average total cost function:ATC = 45/q + 10 + 5q(a) Suppose the equilibrium price is currently 30 (in the short run). Determine the quantity sold by eachfirm, the market equilibrium quantity, and the number of firms there must be in the market. Hint: Onceyou know the market quantity and quantity per firm, you can back out the number of firms.(b) If entry and exit is possible in the long run, determine long-run equilibrium price, quantity sold by eachfirm, the market equilibrium quantity, and the number of firms there will beSuppose the market for cat food is perfectly competitive, with each firm having the total cost function TC (Q) = 36Q -Q2 +³, where Q is the firm's output of cat food in tens of 100 pounds. The associated average cost and marginal cost functions are AC(Q) = 36 –Q + m 0? and MC(Q) = 36 –Q +Q?. Total demand in the market is given by D(P) = 100 100 2400 – 40P, where P is the price of ten pounds of cat food. Find the long run competitive equilibrium in the cat food market, i.e. the equilibrium price, quantity supplied by each firm and number of firms operating in the market.There are 80 firms of type A and 60 firms of type B in a perfectly competitive market. On one hand, type A firm faces a fixed cost (all sunk) of $12 and average variable cost is 2q. On the other hand type B firm faces a fixed cost (all sunk) of $10 and the variable cost is 3q. Market demand function is given by Q = 1200 - 70P Find the equilibrium price in the market . 8 12 10 7 There are 80 firms of type A and 60 firms of type B in a perfectly competitive market. On one hand, type A firm faces a fixed cost (all sunk) of $12 and average variable cost is 2q. On the other hand type B firm faces a fixed cost (all sunk) of $10 and the variable cost is 3q. Market demand function is given by Q = 1200 - 70P Find the equilibrium price in the market . 8 12 10 7
- The total cost function of one of the firms is expressed by C(Q) = 100 + 4Q2, and demand is P = 80 – 4Q Find the equilibrium price and total quantity that the industry produces. Suppose that Jollibee successfully acquired McDonalds through a hostile takeover. What would be the new equilibrium price and quantity if MR = 80 – 4Q? Is this hostile takeover beneficial?Suppose there are in total 3 firms in the market. Firm 1 decides its output first, then Firm 2 and Firm 3 decide their outputs simultaneously. The inverse demand function is p = 20-3q, where q = q1+q2+q3, and each firm's cost function is ci(qi) = 5qi2. What is the quantity that Firm 1 produces? Round your answer to 2 decimal points.Assume a competitive firm faces a market price of $100, a cost curve of: C = 0.25q + 50q + 1,600 and a marginal cost curve of: MC = 0.50g + 50. The firm's profit maximizing output level is 100.00 units, the profit per unit is $9.00, and total profit is: $900.00. However, if the firm wanted to maximize the profit per unit, how much would it produce? It would produce units. (round your answer to two decimal places) If the firm produced this output level, what would be the profit? Its profit would be S. (round your answer to the nearest penny)