SupposeU(x, y) = 4x 2 + 3y 2 (a) CalculateU/x andU/y (b) Evaluate these partial derivatives atx= 1,y= 2.

(b) Evaluate these partial derivatives at x = 1, y = 2.

(c) Write the total differential for U

(d) Calculate dy/dx for dU = 0 - that is, what is the implied trade-off between x and y holding U constant?

9e) Show U=16 whenx=1, y=2.

(f) What is the marginal rate of substitution when x = 1, y = 2?

U ( x ,y ) = 4 x ( 2 + 3 4 220is a partial derivative of U wot x2 ( 4 x 2 + 3 42 ) 28 x + 0 = 8xSimilarly 2 ( 4x1 2 + 39 ) 2 0+ by = byhe1 2 ( Us, y ) at 2 21 andy 2 2 = 8 X1 2 8and aJy (...