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- 9. Total revenue from the sale of X is given by the equation R=60Q-Q2. Calculate the value of marginal revenue when the point price elasticity of demand when marginal revenue is -2.Consider the demand function given by: Q = 350 - 0.5P; Q is output demanded, and P is unit price. (a) Compute the price-elasticity of demand (Ep) when price is $200. (b) Interpret your result in (a). (c) Compute the value of the Marginal Revenue (MR) when price is $200. (d) Applying your answers in (a) and (c), verify that MR = P(1+1/Ep).If price elasticty of demand is -2, and price is 8 dollars Marginal revenue should be : a 1 b 2 c 3 d 4 e 5
- 8. Total revenue from the sale of X is given by the equation R=100Q-2Q2. Calculate the value of of marginal revenue when the point price elasticity of demand when marginal revenue=20You must have to submit the correct answer. If price is $25 when the price elasticity of demand is -0.5, then marginal revenue must be: Answer $25 -$25 $12.50 $37.50 $50The demand function for a particular product is given by D(x)=0.5x^2+3x+190‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√D(x)=0.5x^2+3x+190 dollars, where x is the number of units sold. What is the marginal revenue when 88 items are sold? Round your answer to 2 decimal places. D(x)=0.5x^2+3x+190‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾
- 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…Compute marginal revenues from the following data on market demand: Price per unit $38 36 34 32 30 28 26Units demanded 10 11 12 13 14 15 16Marginal revenue — — — — — — —At what price does MR = 0? At what price is MR < 0? At what price is MR < p?Demand function = Q = 45e^-0.04P A. Find total revenue function B. Find total revenue maximum C. Calculate demand elasticity when quantity is at maximum total revenue
- The price p (in dollars) and the quantity q sold of a certain product obey the demandequationq − 800 - 20P and 0 < p < 40(i) Express the revenue R as a function of q.(ii) What is the revenue if 20 units are sold?(iii) What quantity q maximizes revenue? What is the maximum revenue?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?Nickey and Aididas produce trainers in the sports-shoe market. For one of their main products they have the following demand curves: Nickey : Pn = 175 – 1.2Qn Aididas = Pa = 125 – 0.8Qa where P is in Pesos and Q is in pairs per week. Questions: The firms are currently selling 80 and 75 pairs of their products per week respectively. 1. What are the current price elasticities for the products? 2. Assume that Nickey reduces its price and increases its sales to 90 pairs and that this also causes a fall in Aididas’s sales to 70 pairs per week. What is the cross-elasticity between the two products? 3. Is the above price reduction by Nickey to be recommended? Explain your answer.