based on the lifetime utility function and the combinations given, the correct match for the combinations with the same level of utility is:
- (100, 50) = (79.37, 100)
- (80, 80) = (90, 56.19)
- (50,300) = (120, 21.7)
- (110, 45) = (53.1, 400)
<h3>which functions give the same utility?</h3>
first, find the utilities on the left side:
U(100, 50) = (100 ⁰.⁷⁵ x 50⁰.²⁵) = 84.09
U(80, 80) = (80 ⁰.⁷⁵ x 80⁰.²⁵) = 80
U(50, 300) = (50 ⁰.⁷⁵ x 300⁰.²⁵) = 78.25
U(110, 45) = (110 ⁰.⁷⁵ x 45⁰.²⁵) = 87.97
the utilities on the right:
U(79.37, 100) = (79.37 ⁰.⁷⁵ x 100⁰.²⁵) = 84.09
U(90, 56.19) = (90⁰.⁷⁵ x 56.19⁰.²⁵) = 80
U(120, 21.7) = (120 ⁰.⁷⁵ x 21.7⁰.²⁵) = 78.25
U(53.1, 400) = (53.1 ⁰.⁷⁵ x 400⁰.²⁵) = 87.97
the correct matching would be:
- (100, 50) = (79.37, 100)
- (80, 80) = (90, 56.19)
- (50,300) = (120, 21.7)
- (110, 45) = (53.1, 400)
find out more on utility functions at brainly.com/question/21326461.
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