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Suppose a firm produces widgets on two assembly lines and operates with the following Total Cost function: TC = 3x*2 + 6y*2 - xyWhere x represents the number of widgets produced on one assembly line and y the production on the second. The firm is under contract to produce 20 widgets.
(a) Use the Lagrangian method to calculate the least-cost allocation of production to the two assembly lines.
(b) What is the firm's total cost equal to if it fulfils its contract?
(c) Give an economic interpretation to the value of the Lagrangian multiplier.
(d) Should this firm accept an offer of $60 to produce an additional widget? How about an offer of $80? Explain.
Blockbuster Movie Rentals has market power in the previously viewed video sales market. The demand curve for blockbuster movies is QD = 10 - 0.4P -> P = 25 - 2.5Q. Blockbusters marginal revenue function is MR(Q) = 25 - 5Q.
In a hypothetical economy, the annual velocity of money is 10,and level of real output is $800 billion. In year 1, the economy'smoney supply is $100 billion and in year 2 it is $112 billion.Calculate the rate of inflation between years 1 and 2
It can be shown that the marginal return to schooling investments is MW(s) = k0 = ps. What condition governs the optimal choice of education, s*? If r= 5% and ifk 0 = 5.25, what is the optimal schooling level? Suppose that the wage-schooling sc..
Suppose the consumtion function is ( C = $500 billion + 0.9Y) and the government wants to stimulate the economy. By how much will the aggregate demand at current prices shift intially (before multiplier effects) with A 50 billion dollar tax cut
Suppose demand for HP printers is estimated to be Q = 1000 - 5p + 10pX - 2pZ + 0.1Y. If p = 80, pX = 50, pZ = 150, and Y = 20,000; answer the following: a) What is the price elasticity of demand for HP printers
It has been found that people who live in high sales tax areas are much more likely to purchase over the internet where they are usually exempt from sales tax from firms located in another state. The NGA has proposed a uniform tax of 5% on all int..
Unstin.Ting Corporation wants to establish a scholarship in the company's name at a university. The firm wants the scholarship to provide a quarterly award of $4500. The university's scholarship foundation will invest the endow- ment in a fund
Vander's sells bicycle in a small shop on main thoroughtfare, and the manager has computed some numbers based on past sales of bikes. she estimates the demand curve to be P=80-2Q. costs are given by C=200+20Q.what numbers would you use to back up y..
Assume that when the price of good X is $10, each, I buy none. When the price is $9 each, I buy 1 per period. When the price is $8 each, I buy 2 per period. When the price is $7 each, I buy 3 per period.
When the colts won the super bowl the demand for peyton manning's jersey was: P = 210 - 0.002Q with a corresponding marginal revenue of: MR = 210 - 0.0004Q IF the marginal cost of producing a jersey is $10, how much are the trademark licensing rig..
where a > 1. In addition assume that the firms target own profit maximization, compete (simultaneously) in quantities and have marginal costs equal to c1 = c2 = c. Assume that 1 > c > or equal to 0. Describing the necessary mathematical steps, and..
A monopoly is considering selling several units of a homogeneous product as a single packge. A typical consumer's demand for the product is Qd= 110-0.5P, and the marginal cost of product is 140. A. Determine the optimal number of units ot put in a..
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