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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.CHP is a monopoly manufactorer who faces tbge following demand curve for its product in two different country: United States ( US) and New Zealand (NZ). US = Q(us) = 200 - P(us) and new zealand: Q(nz) = 150 - 1/2 P(nz). in which Q denotes quantity and p denotes prices. the firm also faces cost function of c(Q) = 0.25 (Qus + Qnz)^2. Find the prices, pUS and pNZ, which maximise CHP profits, assuming no capacity constraints.Give only typing answer with explanation and conclusion The market demand for a monopoly firm is estimated to be: Qd = 100,000 - 500P + 2M + 500PR where Qd is quantity demanded, P is price, M is income, and PR is the price of a related good. The manager has forecasted the values of M and PR will be $50,000 and $20, respectively, in 2016. The average variable cost function is estimated to be AVC = 520 - 0.03Q + 0.000001Q2 Total fixed cost in 2016 is expected to be $4 million. The profit-maximizing price for 2016 is $80. $100. $260. $520. $560.
- 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…Consider a market with a monopoly firm. Sales revenue of this firm is $15,960,000 total cost is $8,680,000 and average cost is $3.10 Another firm wants to enter the market and provide the same product at a lower price. To intimidate the potential competitor, the monopoly firm intends to use predatory pricing.By how much can this firm reduce the price of its product without losses? Enter your answer in the box below and round to two decimal places if necessary.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. 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 Inelastic Unit elastic
- You are the manager of a monopoly, and your analysts have estimated your demand and cost functions as P = 300 − 3Q and C(Q) = 1,500 + 2Q2, respectively. a. What price-quantity combination maximizes your firm’s profits? Price: Quantity: b. Calculate the maximum profits. $ c. Is demand elastic, inelastic unit elastic Elastic d. What price-quantity combination maximizes revenue? Price: Quantity: e. Calculate the maximum revenues. $ f. Is demand elastic, inelastic, or unit elastic at the revenue-maximizing price-quantity combination? multiple choice Elastic Unit elastic InelasticYou are the manager of a monopoly, and your analysts have estimated your demand and cost functions as P = 600 − 3Q and C(Q) = 2,000 + 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 Inelastic Elastic 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…Suppose that you are a manager of a monopoly firm with the marginal revenue of R550 million and a marginal cost of R120 million. Your firm should...
