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Chapter 4Figure It Out 4.4

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Antonio gets utility from consuming two goods, burgers and fries. His utility function is given by U = √ BF = B0.5F0.5 where B is the amount of burgers he eats and F the servings of fries. Antonio’s marginal utility of a burger is MUB = 0.5B-0.5F0.5 , and his marginal utility of an order of fries is MUF = 0.5B0.5F-0.5 Antonio’s income is $20, and the prices of burgers and fries are $5 and $2, respectively.

Which of the following represent’s Antonio’s marginal rate of substitution between burgers and fries, MRSBF?

A.
B.
C.
D.

GLS 2e FIO 4.4 Part A
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      Burgers cost $5, and fries cost $2. If Antonio maximizes his utility, how many fries should he purchase to accompany every burger?

      Antonio should buy servings of fries for each burger he purchases.

      When Antonio maximizes utility, his MRSBF = PB/PF. Antonio’s MRSBF = F/B; PB/PF = 5/2. So, F/B = 2.5, or F = 2.5×B. Antonio should purchases 2.5 orders of fries for each burger he buys. For further review see section “Combining Utility, Income, and Prices: What Will the Consumer Consume?”
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          If Antonio has $20 to spend, how many burgers and fries should he consume to maximize his utility?

          A.
          B.
          C.
          D.

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