A price-taking firm's variable cost function is vC = 20°, where Qis its output per week. It has a sunk fixed cost of $256 per week. Its marginal co MC = 6Q°. a. What is the firm's supply function when the $256 fixed cost is sunk? Instructions: Enter your answer as a whole number. Q= (PI6)0.5 for Pz$| b. What is the firm's supply function when the fixed cost is avoidable? Instructions: Enter your answer as a whole number. DIS0.5 for af
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- Consider a firm whose total cost function is 2q3 – 6q2 + 13q.a. If the price of a unit of output is $13, what is the profit-maximizing value of q?b. Find the average cost function of the firm? What is the firm’s minimum average cost?c. What is the equilibrium price of output? How much does each firm produce at equilibriumprice? What is the firm’s short-run and long-run average cost at this quantity? What is eachfirm’s profit at the equilibrium price and quantity?Assume that the marginal revenue equals rising marginal cost at 100 units of output. At this output level, a profit-maximizing firm's total fixed cost is $700 and its average variable costs are $5. If the price of the product is $4 per unit and the firm produces the profit-maximizing level of output, How much profit firm will earn ?A firm operates in a perfectly competitive market. The market price of its product is 4 birr and the total cost function is given by TC= 1/3 Q3 - 5Q2+20Q + 50, where TC is the total cost and Q is the level of output.a) What level of output should the firm produce to maximize its profit?b) Determine the level of profit at equilibrium.c) What minimum price is required by the firm to stay in the market?
- An industry currently has 100 firms, each of which has fixed cost of $16 and averagevariable cost as follows:Quantity Average Variable Cost1 $ 12 23 34 45 56 6a. Compute a firm’s marginal cost and average total cost for each quantity from 1 to 6.b. The equilibrium price is currently $10. How much does each firm produce? What isthe total quantity supplied in the market?c. In the long run, firms can enter and exit the market, and all entrants have the samecosts as above. As this market makes the transition to its long-run equilibrium, willthe price rise or fall? Will the quantity demanded rise or fall? Will the quantitysupplied by each firm rise or fall? Explain your answers.A competitive firm has following SHORT RUN cost function: C = 4 + 2q3- 4q2 + 20q Answer:(a) Obtain in a table average total cost (ATC), average variable (AVC) and marginal costs (MC). Plot on a graphb) In what price interval will firm offer zero output? Identify on your graphc) Identify the supply curve in graphd) At what price will firm offer exactly 8 units?The market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including firms, is possible. We have identical firms, each with a Total Cost curve of TC=257+g^2 and Marginal Cost curve MC=2q. Market demand is Q=797-2P. If the Fixed Cost increases by $10, what is the short-run market price?
- Construct a short-run supply schedule for the firm and indicate the profit or loss incurred at each output. Assume the following unit-cost data are for a purely competitive producer. ( See table below) REQUIRED: E. When the product price is set at $46, how many is the quantity supplied by the firm? F. When the product price is set at $46, how much would be the economic profit that the firm will realize per unit of output?Exercise 3 A firm has a long-run cost function Cl(y) = y 3 − 10y 2 + 30y. (1) Derive the firm’s long-run average cost function. (2) Derive the firm’s long-run marginal cost function. (3) Find the level of production with the lowest average cost. (4) What is the long-run supply function for this firm? (5) If the market price is p = $18, how much would the firm decide to produce?The cost function for Acme Laundry is: TC(q)=10+10q+q^2 so its marginal cost function is: MC(q)=10+2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?What would it look like in excel?
- The market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including firms, is possible. We have identical firms, each with a Total Cost curve of TC=334+q^2 and Marginal Cost curve MC=2a. Market demand is Q=807-2P. If the Marginal Cost for every firm decreases by $10 at every quantity, what is the short-run market price? (You can assume that MC>=AVC at every quantity for this question).A firm has a linear demand function for it's product.When the price of the product is sh.20,the quantity demanded is 40 units.When the price increases to sh.240 the quantity demanded becomes 30 units.In addition,the firm's marginal cost function is giving by: Mc = 40q- 2q^2+2 Fixed cost = 5 million Where q= quantity demanded,Mc = marginal cost(sh.million) Required 1.The level of output that maximises profits 2.The maximum profit 3.The price of the product at the maximum profitThe market for paperback detective novels is perfectly competitive. Market Demand is given by Q=450-6P. Market Supply is given by Q=4P-13. Suppose 21 units are bought to the market. Consider the Marginal Cost of production for these 21 units. What is the maximum Marginal Cost of production of these 21 units? Enter a number only, do not include the $ sign. Hint: 21 doesn't have to be the market quantity.