In: Economics
Dwayne Michael Carter Junior purchases only two goods, apples (a) and kumquats (k). His income is $40. Apples cost $2 per pound and kumquats cost $4 per pound. His utility function is U(a,k) = 3a 2 + 5k. What bundle of goods should he purchase to maximize his utility? Why? Draw and label a diagram with indifference curves, a budget constraint, and the optimal bundle. Solve using the Lagrangian method.
Given:-
Income = $40
Cost of apple per pound = $2
Cost of kumquats per pound = 4$
Let the quantity of apples purchased be 'a' and kumquats be 'k'