Chillman Motors, Inc., is an oligopolist and faces the following kinked demand curve: The demand function can be expreseed algebraically as: P= 200-0.4Q when 050 Calculate the marginal revenue function facing chillman? Chillman's total cost function is TC=500+40Q+0.5Q2 Chillman maximizes profit by selling units at a price of $ per unit.
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Chillman Motors, Inc., is an oligopolist and faces the following kinked
The demand function can be expreseed algebraically as:
P= 200-0.4Q when 0<Q<50
280-2Q when Q>50
Calculate the marginal revenue function facing chillman?
Chillman's total cost function is
TC=500+40Q+0.5Q2
Chillman maximizes profit by selling units at a price of $ per unit.
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- Inverse elasticity rule Use the first-order condition (Equation 15.2 ) for a Cournot firm to show that the usual inverse elasticity rule from Chapter 11 holds under Cournot competition (where the elasticity is associated with an individual firm's residual demand, the demand left after all rivals sell their output on the market). Manipulate Equation 15.2 in a different way to obtain an equivalent version of the inverse elasticity rule: pMCp=sieQ,p , where si=qi/Q is firm i's market share and eQp is the elasticity of market demand. Compare this version of the inverse elasticity rule with that for a monopolist from the previous chapter.The cost function for producing ethanol from municipal waste (wastehol) is 1000+10q2 where q is in millions/gallons per year. The demand for wastehol is currently perfectly inelastic at 5 million gallons per year. Assume that producers of wastehol are perfectly competitive. California is deciding whether to convert all wastehol producers into a regulated wastehol utility. If wastehol is a regulated monopoly utility with the cost function above, what price would regulators set as the price of wastehol? Now assume that the wasteahol market has boomed and demand has grown to 20 (again million gallons per year). Now what is the regulated price of wastehol? You are the wastehol producer and are trying to decide whther to lobby for deregulating the wastehol industry. If wastehol were deregulated, if demand remains 20, what would the perfectly competitive price be? If you are a wastehol customer, you would prefer a deregulated industry if demand were 20? True/False?A monopoly operates according to the following inverse demand function and total cost function where Q is output and P is the price in dollars. P = 50 – 0.50Q Inverse Demand Function TC = 20Q Total Cost Function Suppose that the monopoly sets price and output based on a two-part pricing strategy. Calculate the amount of output exchanged. Calculate the cost of the lump-sum access fee.
- You are the manager of a monopoly, and your demand and cost functions are given by P = 300 – 3Q and C(Q) = 1,500 + 2Q2, respectively. What price-quantity combination maximizes your firm’s profits? Calculate the maximum profits. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price-quantity combination? What price-quantity combination maximizes revenue? Calculate the maximum revenues? Is demand elastic, inelastic, or unit elastic at the revenue-maximizing price-quantity combination?Consider a monopoly beer manufacturer operating under the following conditions in the short run: Beer gets produced by means of a Cobb-Douglas production function q = 1.52L0.6K0.4. The firm's capital is fixed at K=100 units in the short run. The hourly wage rate is $24 and the hourly rental rate of a unit of capital is $8. The inverse demand curve faced by this beer monopolist is p=100q-0.2. What is the profit-maximizing levels of employment (L) and output (q) for this firm, in the short run? Approximately:Suppose Medic Inc. has a patent for a new pill called Relieve, which alleviates Restless Leg Syndrome (RLS) and is approved to sell its products in two separate markets – USA and Canada. The inverse demand function in USA is given by PU = 24 - QU and the inverse demand function in Canada is given by PC = 12 - 0.5QC. Therefore the total revenue function for USA is given by TRU = 24QU - QU2 and the total revenue function for Canada is given by TRC = 12QC - 0.5QC2 . Relive is sold in strip of 10 pills and the marginal cost of producing each strip is $6.00. PU = Price in USA in US dollars; PC = Price in Canada in US dollars; QU = Quantity sold in USA; QC = Quantity sold in Canada. What will be the profit from the US market? a. $72.00 b. $45.00 c. $81.00 d. $0.00
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- You are the manager of a monopoly, and your analysts have estimated your demand and cost functions as P = 200 − 2Q and C(Q) = 1,000 + 3Q2, respectively. a. What price–quantity combination maximizes your firm’s profits? Instructions: Round your response to the nearest penny (two decimal places). Price: $ Quantity: units b. Calculate the maximum profits. Instructions: Round your response to the nearest penny (two decimal places). $ c. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price–quantity combination? multiple choice 1 Elastic Unit elastic Inelastic d. What price–quantity combination maximizes revenue? Instructions: Round your response to the nearest penny (two decimal places). Price: $ Quantity: units e. Calculate the maximum revenues. Instructions: Round your response to the nearest penny (two decimal places). $ f. Is demand elastic, inelastic, or unit elastic at the revenue-maximizing price–quantity…You are the manager of a monopoly, and your analysts have estimated your demand and cost functions as P = 300-2Q and C(Q) = 1,500 + 2Q2, respectively. a. What price-quantity combination maximizes your firm's profits? Instructions: Round your response to the nearest penny (two decimal places). Price: $ Quantity: units b. Calculate the maximum profits. Instructions: Round your response to the nearest penny (two decimal places). $ c. Is demand elastic, inelastic, or unit elastic at the profit - maximizing price-quantity combination? multiple choice 1 Unit elastic Elastic Inelastic d. What price- quantity combination maximizes revenue? Instructions: Round your response to the nearest penny (two decimal places). Price: $ Quantity: units e. Calculate the maximum revenues. Instructions: Round your response to the nearest penny (two decimal places). $ f. Is demand elastic, inelastic, or unit elastic at the revenue - maximizing price-quantity combination? multiple choice 2 Unit elastic Elastic…You are the manager of a monopoly, and your analysts have estimated your demand and cost functions as P = 500 − 2Q and C(Q) = 2,500 + 2Q2, respectively. d. What price–quantity combination maximizes revenue? Instructions: Round your response to the nearest penny (two decimal places). Price: $ Quantity: units e. Calculate the maximum revenues. Instructions: Round your response to the nearest penny (two decimal places). $ f. Is demand elastic, inelastic, or unit elastic at the revenue-maximizing price–quantity combination? multiple choice 2 Inelastic Unit elastic Elastic