Nick's utility over hummus (h) and books (b) is described by U(Qh, Qb) = Q.7 Q0.³. (a) Nick has $60 to spend. The price of hummus is $6 per unit, and the price of books is $18 per unit. Write the equation for Nick's budget constraint and graph it. (b) How much hummus and books will Nick buy? How much utility does he derive from the optimal bundle? (c) Show Nick's optimal consumption on a graph.

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Nick's utility over hummus (h) and books (b) is described by U(Qh, Qb) = Q.7 Q0.³.
h
(a) Nick has $60 to spend. The price of hummus is $6 per unit, and the price of books is $18 per
unit. Write the equation for Nick's budget constraint and graph it.
(b) How much hummus and books will Nick buy? How much utility does he derive from the optimal
bundle?
(c) Show Nick's optimal consumption on a graph.
Transcribed Image Text:Nick's utility over hummus (h) and books (b) is described by U(Qh, Qb) = Q.7 Q0.³. h (a) Nick has $60 to spend. The price of hummus is $6 per unit, and the price of books is $18 per unit. Write the equation for Nick's budget constraint and graph it. (b) How much hummus and books will Nick buy? How much utility does he derive from the optimal bundle? (c) Show Nick's optimal consumption on a graph.
Expert Solution
Step 1: Determine the given information:

Nick's utility function: U open parentheses Q subscript h comma Q subscript b close parentheses equals Q subscript h to the power of 0.7 end exponent Q subscript b to the power of 0.3 end exponent

Nick's income =$60. 

Price of hummus =$6 per unit.

The price of books is $18 per unit.

If the price of hummus is denoted by Ph and the price of books is denoted by Pb, then the equation of budget constant will be given as 

P subscript h Q subscript h plus P subscript b Q subscript b equals I n c o m e

Nick's optimal bundle is the utility-maximizing bundle, and the utility-maximizing condition is fraction numerator M U subscript h over denominator M U subscript b end fraction equals P subscript h over P subscript b

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