1. Market demand for a commodity is QD = 12 - P and the short-run cost function for the firm is STC(Q) = Q? + 1 • Determine the consumer surplus and producer surplus
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- PS4.2 (a) What Optimal Level of Output (q*) will a Firm Produce given the following? MC(q) = 3 + 2q Price (P) = $9 MC → Marginal Cost q→ Quantity (b) What is a Firm's Producer Surplus assuming the following? Area of Triangle = 1/2* Base * Height (c) Will a Firm be Earning a Positive, Negative, or Zero Profit in the Short-Run given the following? AVC (q) =3+q FC = $3 AVC → Average Variable Cost FC Fixed CostMarginal cost= 2x+3 Average variable cost= x+3 Variable cost=x^2 + 3x x is the daily output. Product's price is 13 dollars. Part a) Calculate the level of output that will be produced. Part b) Calculate the producer surplus of the firm. Part c) The fixed costs are 5 dollars. In the short run, is the firm making a 0 economic profit, a positive profit, or a negative profit? Explain why.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? Explain
- A flour mill buys its wheat from two different farms, then processes the wheat into flour. Wheat from Farm X costs the mill $7 per bushel, and wheat from Farm Y costs the mill $15 per bushel. The selling price (in dollars per bushel) for the mill's wheat can be modeled by p(x, y) = 500 x y where x is the demand for the flour milled from Farm X's wheat and y is the demand for flour milled from Farm Y's wheat. Assume that x and y may be zero (so the mill only buys from one of the suppliers) and that the mill can by 1/2 of a bushel. Then the maximum profit is attained when x = y = bushels bushels The amount of the flour mill's maximum profit is $A competitive firm has a total cost function: TC = 20 + 50q − 6q2 + q3 and a marginal cost function MC = 50 − 12q + 3q2. (a) If the market price is P = $230 per unit, the firm will supply 10 units of the good. Calculate: (i) the profit (ii) the producer's surplus (b) Assume that the market price is P = $50 per unit. Find (i) the level of output supplied by the firm (ii) the firm's profit (use a minus before your answer if the firm incurred a loss) (c) Calculate the range of prices for which the firm will find it optimal to shut down.A perfectly competitive hardware manufacturer has a total revenue of $85 million, total variable costs of $45 million, and fixed costs of $10 million. What is the firm’s producer surplus?
- The 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.Q1) for a-firm how does the concept of producer surplus differ from that of profit.? Q2) if the supply curve is q=3+1.5p what is the producer surplus if p=12?You are given the following information for a producer of organic grommets in a perfectly competitive market. TFC = $7 Market price = $16 Quantity MC ($) 11 9 10 4 12 15 6 19 The marginal cost of production appears in the table above. What is the profit-maximizing output? Is the firm making a profit or loss? How much? Output: |(Click to select) v$
- 1. Consider the perfectly competitive market for guitar tuners. The mar- ket price for a guitar tuner is $20 and the cost functions are: TC (q) = .01q² + .2q + 4950 %3D MC (q) = .02g +.2 (a) Find the profit-maximizing quantity of guitar tuners produced by a firm in this market. (b) Calculate the profit each firm will earn in this market (c) Graphically depict the firm's profit-maximization problem. (note: this doesn't need to be to scale but should accurately reflect the sign of the profit) (d) Will firms enter into this market in the long run? (e) Graphically show how the price will change as the market pro- gresses towards a long-run equilibrium. (There's no need to find the exact long-run equilibrium price. Just follow similar steps to what we did in class)On the graph input tool, change the number found in the Quantity Demanded field to determine the prices that correspond to the production of 0, 6, 12, 15, 18, 24, and 30 units of output. Calculate the total revenue for each of these production levels. Then, on the following graph, use the green points (triangle symbol) to plot the results. Calculate the total revenue if the firm produces 6 versus 5 units. Then, calculate the marginal revenue of the sixth unit produced. The marginal revenue of the sixth unit produced is________. Calculate the total revenue if the firm produces 12 versus 11 units. Then, calculate the marginal revenue of the 12th unit produced. The marginal revenue of the 12th unit produced is_________.Consider a perfectly newspaper market with identical firms, each with the usual shaped cost curves. (1) The government imposes a (permanent) $2 per-newspaper subsidy on the market. What is the impact of the subsidy on the newspaper market? Make sure to distinguish between the short-run and the long-run impacts. (2) If demand permanently decreases, what is the impact on the newspaper market? Make sure to distinguish between the short-run and the long-run impacts.