What is the maximum number of meals Sheldon can produce in 12 hours? What is the maximum  number of laundry baskets Sheldon can complete in 12 hours?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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The Big Bang Theory

Assume the hours needed to cook a meal or done a basket of laundry 
are different, and they are described below: 
1 MEAL 1 BASKET 
SHELDON 2 1 
LEONARD 1/2 2 

1. What is the maximum number of meals Sheldon can produce in 12 hours? What is the maximum 
number of laundry baskets Sheldon can complete in 12 hours? 
2. Plot in a graph: Sheldon’s production possibility frontier.  
3: Plot in a graph: Leonard’s production possibility frontier. 
4. What is Sheldon’s opportunity cost of one meal (in terms of baskets given up)? What is his 
opportunity cost of one basket (in terms of meals given up)? 
5. Does Leonard have an absolute advantage in producing both meals and baskets? 
6. Who has a comparative advantage in cooking?  
7. Suppose each person has 12 hours for the two tasks in a week, and suppose both Sheldon and 
Leonard each spend 6 hours on cooking and 6 hours on laundry. Consider an offer from Leonard to 
Sheldon: do 3 baskets of laundry for me each week, and I’ll cook you 2 meals. Can you find a production 
plan such that the offer benefits both Leonard and Sheldon? Hint: For a production plan, you need to 
specify how each person divides his 12 hours between the two tasks. The offer benefits Sheldon (or 
Leonard) when it results in no fewer meals and no fewer baskets for him. 
8. Consider the same setup in number 7 Consider another offer from Leonard to Sheldon: do 1 basket of 
laundry for me each week, and I’ll cook you 3 meals. Can you find a production plan such that the offer 
benefits both Leonard and Sheldon? Explain.

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