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Consider the utility function for a utility maximizing individual consuming two goods X and Y.
U (X,Y)= X2Y+15. This person pays 3 dollars for good X and 5 dollars for good Y with an income of 150 dollars. (5Y+3X <= 150) Budget constraint.
a. derive the marginal utility for good x. Ux
b. derive the marginal utility for good Y. Uy
c. find the marginal rate of substitution between x and y
d. find the amounts of good X and Y that maximizes this utility
e. compute the utility
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A firm produces both crayons and pencils in constant proportions (1/3 and 2/3 respectively). Its costs are C(q1;q2)=1000+10q1+5q2+9q1q2, where q1 is the output of crayons and q2 the output of pencils. Calculate its minimum efficient scale (MES) of pr..
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