Prove the following claim: The optimal two-part tariff satisfies MR=MC- Hint: MR and MC are defined with respect to quantitysupplied/consumed Q.It may seem obvious that this general rule for an optimaloutput Q should apply here, but is the proof obvious?1 At the optimal uniform price, how did P* compare with MR?1 At the optimal two-part tariff, how does p* compare with MR?- Why the difference?

A Two-part tariff is defined as a tariff used to extract more of the consumer surplus with the help…

Answered: Prove the following claim: The optimal…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

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Calculating the price elasticity of supply Janet is a graduate student living in San Francisco who works as a caddy to supplement their normal income. At an hourly wage rate of $40, they are willing to caddy 9 hours per week. Upping the wage to $55 per hour, they are willing to caddy 17 hours per week. Using the midpoint method, the elasticity of Janet’s labor supply between the wages of $40 and $55 per hour is approximately , which means that Janet’s supply of labor over this wage range is .
The quantity of a product demanded by consumers is a function of its price. The quantity of one product demanded may also depend on the price of other products. For example, if the only chocolate shop in town (a monopoly) sells milk and dark chocolates, the price it sets for each affects the demand of the other. The quantities demanded, q, and q2, of two products depend on their prices, p, and P2, k as follows: Enter the exact answers. If one manufacturer sells both products, how should the prices be set to generate the maximum possible revenue? What is that maximum possible revenue? P₁ = P2 = H. 9₁ = 9₂ = The maximum revenue is i 280 - 5p₁-3p2 360 - 3p₁ - 5p2.
and the cost function of the second firm is , where are all positive parameters. The demand function in this industry is where α C(q₁) = A * qu C(92) = Bq₂ (A, B, a, ß) Q = Dp (D,y)
You are the Economic Consultant for Zuku Farms Ghana Limited. Zuku produces cowpea in a community where producers are able to switch back and forth between cowpea and groundnut depending on market conditions. Consequently, you were tasked by the management of Zuku and you estimated the demand function for cowpea as follows: where is the quantity of cowpea demanded in bags per month, is the average price of cowpea in Ghana Cedis, is the average price of groundnut in Ghana Cedis, and Y is the income of consumers. Assuming is initially GH¢31.00 per bag, Y is GH¢1001.50. Also that your estimated supply function for cowpea is as follows: QS = -25 + 3.5PC -1.5Pf – 0.5Pg + 0.25R Where Qs is the quantity supplied of cowpea in bags, Pc and Pg are as defined above, Pf is the price of fertilizer per bag, R is the amount of rainfall (in inches). If Pf = GH¢10, R= 40 inches and Pg= GH¢31.00 Find the resulting supply function for cowpea and determine the equilibrium price and quantity.…
Let's say there is demand in a market. The unit cost of production of the good is fixed and is at level 3. If you had a technology that could reduce this cost to 1, how much would you sell the pantent of the technology you have? (Hint: How much does society spend to get the technology you have?)
the market demand curve for chocalates is given by the equation Qd=500-4P, while market supply curve for chocalates is described by the equation Qs=-100+2P where P is the price. Find the equilibrium price of chocaltes?
The demand function for a good is Q = 650-5P while the supply functions is Q=-100+10P. determine the quantity supplied before and after the tariff.
Suppose that an employee at a coffee shop is willing to work 30 hours per week when she is paid $12.00 per hour. When she is offered a raise to $14.00 per hour, she is willing to work 40 hours per week. Her price elasticity of supply is (Note: use the midpoint method and give your answer to two decimal places.)
Suppose that the demand for a product is given by the following demand function: Q = 500 -3P A. To sell 200 units, what price should you charge?
Johnson's Household Products has a division that produces two types of toothpaste: a regular toothpaste and a whitening tooth paste. The demand equations that relate the prices, p and q (in dollars per thousand units), to the quantities demanded weekly, x and y (in units of a thousand), of the regular toothpaste and the whitening toothpaste are given by p=3000-20 x-10 yp=3000−20x−10y and q=4000-10 x-30 yq=4000−10x−30y respectively. The fixed cost attributed to the division is $20,000/week, and the cost for producing 1000 tubes of regular and 1000 tubes of whitening toothpaste is$400 and $500, respectively. a. What is the weekly total revenue function R(x, y)? b. What is the weekly total cost function C(x, y)? c. What is the weekly profit function P(x, y)? d. How many tubes of regular and whitening toothpaste should be produced weekly to maximize the division's profit? What is the maximum weekly profit?

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Prove the following claim: The optimal two- part tariff satisfies MR=MC