Answer to Question #70595 in Microeconomics for Johnathan McGuire
A = I / 12 - B / 3
now, given the same income (that is, I is constant) suppose we decrease the level of consumption of good B from B1 to B2. How many additional units of A (dA = A2-A1) can we get within the same budget constraint?
dA = A2 - A1 = [I / 12 - B2 / 3] - [I / 12 - B1 / 3] = (B1 - B2) / 3
from the formula above we see that in order to consume one additional unit of A (dA = 1), we have to give up three unit of B. Or, to get three more units of A, we have to give up 9 units of B.
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