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2 November, 11:46

Stacy likes to eat pancakes for breakfast. Her utility (happiness) function is u (x) = x 1/3, where x is the number of pancakes consumed per week. Suppose Stacy currently consumes 8 pancakes each week. Stacy's doctor orders her to cut down her pancake consumption by 2 per week. Approximately how much has her happiness changed since she started cutting back on her pancake consumption for a week?

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  1. 2 November, 15:24
    0
    1.26

    u (8) - u (2) = 0.74

    Step-by-step explanation:

    Given

    u (x) = ∛x

    where x is the number of pancakes consumed per week

    and

    u (x) is her utility (happiness)

    If x = 8

    u (8) = ∛8 = 2

    Now, if x = 2

    u (2) = ∛2 = 1.26

    then

    u (8) - u (2) = 2 - 1.26 = 0.74
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