сепрпопе ervice! The cell provider offers you two contracts: Deal #1: Up to 300 minutes per month, for a fixed fee of $20, and extra minutes for 20 cents. Deal #2: Up to 600 minutes per month, for a fixed fee of $55, and extra minutes for 15 cents. 1/21/2 'our utility function is U = x2 y2 MUX =(1/2) x2y'2 MUy = (1/2) x² yl2 ou have a budget of $100 to spend. Which plan do you choose, and what are your optimal choices of x and y? Confirm that your choice in part a) is correct by comparing the slopes of the budget ine and the indifference curve at the optimum.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter10: Consumer Choice Theory
Section: Chapter Questions
Problem 6P
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You live a fun life, consuming a yummy composite good, and a lot of cellphone
The cell provider offers you two contracts:
service!
Deal #1: Up to 300 minutes per month, for a fixed fee of $20, and extra minutes for 20 cents.
Deal #2: Up to 600 minutes per month, for a fixed fee of $55, and extra minutes for 15 cents.
Your utility function is U = x" y"2 MUX = (1/2) x12 y2
You have a budget of $100 to spend.
-1/2.
MUy = (1/2) x2y2
a)
Which plan do you choose, and what are your optimal choices of x and y?
Confirm that your choice in part a) is correct by comparing the slopes of the budget
b)
line and the indifference curve at the optimum.
Transcribed Image Text:You live a fun life, consuming a yummy composite good, and a lot of cellphone The cell provider offers you two contracts: service! Deal #1: Up to 300 minutes per month, for a fixed fee of $20, and extra minutes for 20 cents. Deal #2: Up to 600 minutes per month, for a fixed fee of $55, and extra minutes for 15 cents. Your utility function is U = x" y"2 MUX = (1/2) x12 y2 You have a budget of $100 to spend. -1/2. MUy = (1/2) x2y2 a) Which plan do you choose, and what are your optimal choices of x and y? Confirm that your choice in part a) is correct by comparing the slopes of the budget b) line and the indifference curve at the optimum.
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