Question: Given the utility function, Ux,x,, and budget constraint, 2x, + x2 = 300, a. Derive the expressions for the marginal utilities of both goods, MU.

Given the utility function, Ux,x,", and budget constraint, 2x, + x2 = 300, a. Derive the expressions for the marginal utilities of both goods, MU. and MUa. In one sentence, define marginal utility concept.(7 points) b. Derive the expression for marginal rate of substitution, MRS. In one sentence, define MRS concept. (7 points) c. Use the Tangency condition or the Lagrangian method to solve for the optimal consumption bundle, (xi,x). (10 points) d. Show the optimal consumption bundle that you found on part con a graph. (5 points)

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