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1. Suppose that the
2. If D(P)=12 -2P, what price will maximize revenue?
3. If the market demand curve is D(p) = 100 - 0.5P, what is the inverse demand curve?
4. Show that when the
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- An end-of-aisle price promotion changes the price elasticity of a good from −4 to −5. Suppose the normal price is $48, which equates marginal revenue with marginal cost at the initial elasticity of –4. What should the promotional price be when the elasticity changes to –5? (Hint: In other words, what price will equate marginal revenue and marginal cost?) a. $27.00 b. $45.00 c. $36.00 d. $31.5023. Suppose the equilibrium price in the market is $10 and the price elasticity of demand for the linear demand function at the market equilibrium is -1.25. Then we know that: demand is inelastic. marginal revenue is $2. marginal revenue is $50. demand is unit elastic.The X-Corporation produces a good (called X) that is a normal good. Its competitor, Y-Corp., makes a substitute good that it markets under the name Y. Good Y is an inferior good. a. How will the demand for good X change if consumer incomes decrease? b. How will the demand for good Y change if consumer incomes increase? c. How will the demand for good X change if the price of good Y increases? d. Is good Y a lower-quality product than good X? Explain.
- Assuming zero disposal costs, why is the correct profit maximising price to charge for the unsold trees on Christmas Eve the one at which the elasticity of demand is equal to -1? Illustrate using a diagram. Would the price be lower still if there were some disposal costs that the seller would face to dispose of the unsold trees?Suppose the following data represent the market demand for catfish: Price (per unit) $20 19 18 17 16 15 14 13 12 11Quantity demanded (units per day) 12 13 14 15 16 17 18 19 20 21Total revenue — — — — — — — — — —Marginal revenue — — — — — — — — — —Compute total and marginal revenue to complete the table above. At what rate of output is total revenue maximized? At what rate of output is MR less than price? At what rate of output does MR first become negative? Graph the demand and MR curves.1. Harding Enterprises has developed a new product called the Gillooly Shillelagh. The market demand for this product is given as follows: Q = 240 - 4P a. At what price is the price elasticity of demand equal to zero? b. At what price is demand infinitely elastic? c. At what price is the price elasticity of demand equal to one? d. If the shillelagh is priced at $40, what is the point price elasticity of demand? 2. Suppose the marginal rate of substitution is constant at 6 for all possible consumption bundles. Next suppose that the price of good 1 decrease, and the ratio P1/P2 is greater than 6. Show that the income and substitution effects from this price change are both zero.
- 1. The X-Corporation produces a good (X) that is a normal good. Its competitor, Y-Corp. makes asubstitute good that it markets under the name (Y).a. How will the demand for good X change if consumer incomes decrease?b. How will the demand for good X change if the price of good Y increases?For problems 1 – 4: The Dolan Corporation, a maker of small engines, determines that in 2019 the demand curve for its product is P = 2,000 - 50Q where P is the price (in dollars) of an engine and Q is the number of engines sold per month. At what price, if any, will the demand for Dolan’s engines be of unitary elasticity? a. $500 b. $1000 c. $250 d. $7504 Asap Suppose that the elasticity of demand for BMW cars equals -2 in Germany and equals -3 in the U.K.. The marginal cost of producing BMW cars is $20,000. What price would BMW set in Germany vs. the U.K?
- A 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%. 1. What is the price function of demand of the firm? 2. What is the total revenue function of the firm? 3. At what production output should the firm produce to maximize its total revenue?The market supply and demand for a product are shown in the diagram below. Is the price elasticity of supply less than one, equal to one, or greater than one? Explain. Calculate consumer surplus at the equilibrium price. Show your work. Now suppose the government imposes a per-unit tax of $1 on producers. What happens to total revenue received by producers after they pay the tax to the government? Explain. Will producer surplus increase, decrease, or stay the same? Will total surplus increase, decrease, or stay the same? Explain.a. If only two firms exists in the market and they act competitively, find the equilibrium price and quantity, and calculate producer and consumer surplus. If you know firms earn zero profit, what must their fixed cost be? b. Calculate the elasticities of market supply and market demand at the equilibrium point. Which one is more elastic?
