5. Assume than a non-competitive firm faces a downward sloping firm demand curve, P(Q), and has the cost curve, C(Q)= cQ. Suppose that the government taxes firm profits at a rate of t (the firm keeps profits of (1-t)) a) What will be the impact of the tax on the profit maximizing quantity of the firm? What will be the effect on the price charged? Suppose instead that the government imposes a tax on the price that the firm charges. Specifically if the firm is charging P(Q) then after the imposition of the tax, the firm would receive only (1-t)P(Q) where t is the tax rate. b) Write the firm's profit function as a function of Q and t. c) Write the first order conditions that define the profit maximizing level of output QM for the firm. What is the impact of the tax on the MR of the firm?
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- a. A firm faces the following average revenue (demand) curve:P = 120 − 0.02Qwhere Q is weekly production and P is price, measured in cents per unit. The firm’s cost function is given by C = 60Q + 25,000. Assume that the firm maximizes profits. i. What is the level of production, price, and total profit per week?ii. If the government decides to levy a tax of 14 cents per unit on this product, what will be the new level of production, price, and profit?1. The market demand function of a perfectly competitive market is Q=500-p, and the cost function of an individual company is C(q)=q^3-20q^2+110q. Suppose that the government imposes a tax of 10 per unit of transaction on companies. In the long-term equilibrium, find K-L when you indicate the number of companies as L and the market price as K. Find W1 - W2, W1 is when no tax is imposed, and W2 is when the government imposes a tax of 10 per unit of transaction on an enterprise.A manufacturer knows that: His TR is given by Revenue = 23Q – Q2 His total cost of production is; Cost = 36 + 2Q + 0.1Q2 Where Q is the weekly production in thousands a) Economists define MR as the rate of change of Total revenue. Derive an expression for Marginal Revenue (MR) b) How do you think Economists’ would define ‘Marginal Cost’? Derive an expression for marginal Cost (MC) c) What output will make marginal Revenue equal Marginal cost?
- Bus Econ 2.2.51 Assume that a demand equation is given by q = 8000 - 100p Find the marginal revenue for the given production levels (values of q) (Hint Solve the demand equation for p and use Rig- qp) a. 500 units The marginal revenue at 500 units is (Simplify your answer)If a single firm with demand Q=100-2P (Q=quantity, P=Price), reduces its constant marginal costs from £8 to £4 then Consumer Surplus (CS) and Producer Surplus (PS) after the reduction in marginal costs will be... a. CS=1058 PS=529 b. CS=2116 PS=1058 c. CS=1000 PS=500 d. CS=500 PS=1000 e. CS=529 PS=1058A firm produces a steel bar. When the price of the steel bar is $ 30,000, the quantity demanded is 8 metric tons, a 100% change in the price would change the quantity demanded by 25%. REQUIRED: A. What is the total revenue function of the firm? (Use the variable Q for the quantity and the variable TR for the total revenue B. What is the price function of demand of the firm? C. How much would be the maximum total revenue of the firm? D. At what price should the firm sell its product to maximize its total revenue? F. What is the marginal revenue function of the firm? (Use the variable Q for the quantity and the variable MR for the marginal revenue G. At what production output should the firm produce to maximize its total revenue? H. What is the demand function of the firm? (Use the variable Q for the quantity demanded and the variable P for the price
- 1. Suppose the inverse demand for a product produced by a single firm is given by P = 100 - 10Q and the firm has a marginal cost of production of MC = 10 + 10Q. a. If the firm cannot price discriminate, what is the profit-maximizing price and level of output? b. If the firm cannot price discriminate, what are the levels of producer and consumer surplus in the market? What is the deadweight loss? c. If the firm is able to practice perfect price discrimination, what output level would it choose? What are the levels of producer and consumer surplus and deadweight loss under perfect price discrimination?3. Suppose there are 100 identical manufacturers in a perfectly competitive industry, and the cost function of each manufacturer is STC = 0.1Q2 + Q + 10 . The cost is calculated in US dollars. a. Calculate the market supply function. b. Suppose that the market demand function is Q = 4000 – 400P, calculate the equilibrium price and output. c. Suppose the manufacturer is charged a tax of so.9 per unit of product, what about the new equilibrium price and output.If a single firm with demand Q = 100 - 2P (Q= quantity, P = Price), reduces its constant marginal costs from £8 to £4 then Consumer Surplus (CS) and Producer Surplus (PS) after the reduction in marginal costs will be... Question 12 Answer a CS = 1058 PS = 529 b. CS = 2116 PS = 1058 c. CS = 529 PS = 1058 d. CS = 1000 PS = 500 e. CS = 500 PS = 1000
- QUESTION 2a. A firm faces the following average revenue (demand) curve:P = 120 − 0.02Qwhere Q is weekly production and P is price, measured in cents per unit. The firm’s cost function is given by C = 60Q + 25,000. Assume that the firm maximizes profits. i. What is the level of production, price, and total profit per week?ii. If the government decides to levy a tax of 14 cents per unit on this product, what will be the new level of production, price, and profit? b. The United States currently imports all of its coffee. The annual demand for coffee by U.S. consumers is given by the demand curve Q = 250 – 10P, where Q is quantity (in millions of pounds) and P is the market price per pound of coffee. World producers can harvest and ship coffee to U.S. distributors at a constant marginal (= average) cost of $8 per pound. U.S. distributors can in turn distribute coffee for a constant $2 per pound. The U.S. coffee market is competitive. Congress is considering a tariff on coffee imports of…A firm faces the following average revenue (demand) curve:P = 120 − 0.02Qwhere Q is weekly production and P is price, measured in cents per unit. The firm’s costfunction is given by C = 60Q + 25,000. Assume that the firm maximizes profits.i. What is the level of production, price, and total profit per week?ii. If the government decides to levy a tax of 14 cents per unit on this product, what will be thenew level of production, price, and profit?b. The United States currently imports all of its coffee. The annual demand for coffee by U.S.consumers is given by the demand curve Q = 250 – 10P, where Q is quantity (in millions ofpounds) and P is the market price per pound of coffee. World producers can harvest and shipcoffee to U.S. distributors at a constant marginal (= average) cost of $8 per pound. U.S.distributors can in turn distribute coffee for a constant $2 per pound. The U.S. coffee market iscompetitive. Congress is considering a tariff on coffee imports of $2 per pound.i. If there…Y6 Suppose that a market consists of 300 identical firms, all with the same cost curve: TC(4) = 0.1 + 150g?. The market demand is given by Qd(p) = 60 - p (a) What is the equilibrium price and quantity? (b) What quantity must each firm produce and sell at equilibrium? (c) Do firms make positive profits in the market equilibrium? (d) Calculate consumers' surplus, producers' surplus and total surplus.