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Suppose a person (who may or may not be your professor) has a utility function that depends on three things: bacon (B), Diet Dr Pepper (D), and Gibson's donuts (G). The utility function is u(B,D,G) = BαDβGδ, where α, β, and δ are between 0 and 1 and B, D, and G are always greater than or equal to 0.
1. Find the marginal utility of bacon.
2. Find the marginal utility of Gibson's donuts.
3. Suppose two people (person 1 and person 2) have this same utility function. Theyare consuming the same amount of bacon (B) and the same amount of donuts (G). However, person 1 is currently consuming more soda D than person 2 is. If we give each person one more slice of bacon to eat, which one will gain more extra utility from that slice of bacon? Why? Use math to justify your answer.
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