The expression for Hui's MRS (= Ux/Uy) is given by MRS = 4.5y/(x+1). What is the value of the derivative dMRS/dx at the point were x=2 and y=1.1?

PER-UNIT COST (Dollars) Jouet is a profit-maximizing firm producing toy trains-a capital-intensive good-which are sold in its home country, France, and abroad in Russia. Jouet chose foreign production as a method of penetrating the Russian market and has to decide whether it is more efficient to directly invest in ussia to establish a production subsidiary or to license the technology to a Russian firm to produce its goods. n the following graph, AVCR is the average variable cost curve of a Russian firm producing toy trains. (This curve represents costs such as labor nd materials.) The curve ATCsidiary represents the total unit costs Le Jouet will face if it establishes a subsidiary in Russia. ATCudary AVC Russia 15 20 4 60 75 90 105 120 130 150 PRODUCT (Thousands)

C. Suppose your neighbor is a physics major who also races motorcycles, and she tells you that horsepower can be expressed in terms of the following equation: H = MDA/S where M=mass, D-distance, A=acceleration and S and H are as defined above. Based on this conversation with your neighbor, you decide to change the functional form of the relationship to include 1/H rather than H as an explanatory variable because that's the appropriate theoretical relationship between the two variables. Estimate the above equation, substituting 1/H for H. Which of the two models do you prefer and why?

Suppose that a monopolist offers two different products with demand functions P1 = 56 – 4q1 P2 48 – 292 The monopolist's joint cost function is C(q1, 92) qỉ + 5q192 + q? %3D

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Given the following values:  P(A) = 0.25    P(A and B) = 0.14     P(B) = 0.32  Find the P(B | A) (Leave answer in decimal form with 2 decimals)

How does it go from qi = (1 - q1 - q2 - ... - qn - c)/2 to q = (1 - cq)/(n + 1) via the substitution in the last step?