3. Christina loves pizza and hates burger. Her utility function is U(p – b) =p – →b´, | where p is the number of pizzas she consumes and b is the number of burgers she consumes. John likes both pizza and burger. His utility function is U(p, b) = p + 2\b Christina has an initial endowment of no pizzas and 8 burgers. John has an initial endowment of 16 pizzas and 8 burgers. a. Graph the initial endowment and label it E b. If Christina hates burgers and John likes them, how many burgers can Christina and John be consuming at a Pareto optimal allocation? What is John's marginal utility for pizzas and burgers? Mark the locus of Pareto optimal allocations of pizzas and burgers between Christina and John on the grapsh above.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter10: Consumer Choice Theory
Section: Chapter Questions
Problem 9P
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3. Christina loves pizza and hates burger. Her utility function is U(p – b) = p – 6",
where
is the number of pizzas she consumes and b is the number of burgers she
consumes. John likes both pizza and burger. His utility function is U(p, b) = p + 2\b
Christina has an initial endowment of no pizzas and 8 burgers. John has an initial
endowment of 16 pizzas and 8 burgers.
a. Graph the initial endowment and label it E
b. If Christina hates burgers and John likes them, how many burgers can Christina
and John be consuming at a Pareto optimal allocation? What is John's marginal
utility for pizzas and burgers? Mark the locus of Pareto optimal allocations of
pizzas and burgers between Christina and John on the grapsh above.
Transcribed Image Text:3. Christina loves pizza and hates burger. Her utility function is U(p – b) = p – 6", where is the number of pizzas she consumes and b is the number of burgers she consumes. John likes both pizza and burger. His utility function is U(p, b) = p + 2\b Christina has an initial endowment of no pizzas and 8 burgers. John has an initial endowment of 16 pizzas and 8 burgers. a. Graph the initial endowment and label it E b. If Christina hates burgers and John likes them, how many burgers can Christina and John be consuming at a Pareto optimal allocation? What is John's marginal utility for pizzas and burgers? Mark the locus of Pareto optimal allocations of pizzas and burgers between Christina and John on the grapsh above.
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