3 Maximization Problems These questions will not be graded for the problem set, but I encourage you to try. For each of
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3 Maximization Problems These questions will not be graded for the problem set, but I encourage you to try. For each of
questions will not be graded for the problem set, but I encourage you to try. For each of the following situations, maximize the function subject to the constraint. = 1. You go to the store with $12 in your pocket and the intention of maximizing your utility (u(a,b) = ab) by consuming apples (a) and bananas (b). Each apple costs $2 and each banana costs $3. How many of each good do you purch max a,b u(a,b) = ab subject to 2a + 3b = 12 = 2. An individual derives utility from consuming goods x and y (u(x, y) = x’y). x costs $2 and y costs $3. If the individual has $9 to spend, how many units of x and y should she buy? max u(x, y) = x²y = subject to 2x + 3y 9 3. Solve the following maximization problem: max 2. f(x,y) = xºyº2 subject to P2I+Pyy <w
3 Maximization Problems These