a)Given the utility function U = x10.9 x20.5 , calculate the particular value of MRCS for the indifference curve that passes through (370,200) Note: Round your result to 3 decimal positions.

b)

C)

The productivity of a country is given by f(x,y) = 54x^0.69y^0.31, where x is the amount of labor and y is the amount of capital.

Compute the marginal productivities of labor and capital when x = 371 and y = 200. Hence, use that calculation to determine the approximate effect on productivity of decreasing capital from 200 to 198 units, while keeping labor fixed.

Note: Round your result to 3 decimal positions. You just need to deliver the value of the effect on productivity of decreasing capital.

D)

The productivity of a country is given by f(x,y) = 90x^0.69y^0.31, where x is the amount of labor and y is the amount of capital.

Compute the marginal productivities of labor and capital when x = 224 and y = 200. Hence, use this calculation to determine the approximate effect on productivity of increasing labor in 1.5 units, while keeping capital fixed.

Note: Round your result to 3 decimal positions. Only deliver the value of the effect on productivity of increasing labor.

An individual's utility function for the consumption of x units of good X and y units of good Y is given by U=100x0.61y0.39. Choose the correct options: (A) Uy=39x0.61y0.61 (B) None of the given answers is right. Marginal utility with respect to X(Ux), if the current consumption of X is 400 units and the current consumption of Y is 100 units is equal to 35.52 (D) For the greatest increase in utility, the individual should increase consumption of Y (E) Ux=61x0.39y0.39 An individual's utility function for the consumption of x units of good X and y units of good Y is given by U=100x0.61y0.39. Choose the correct options: (A) Uy=39x0.61y0.61 (B) None of the given answers is right. Marginal utility with respect to X(Ux), if the current consumption of X is 400 units and the current consumption of Y is 100 units is equal to 35.52 (D) For the greatest increase in utility, the individual should increase consumption of Y (E) Ux=61x0.39y0.39