A household of two people has a home environment of quality u(x, y). if the younger person contributes x hours daily to household chores and the older person contributes y hours daily. a) How many first order partial derivatives does the function u have? What are they? b) Choose one of these and explain in words what it describes,in terms of home environment and hours spent on chores. c) What is the likely sign of the partial derivative you chose?
A household of two people has a home environment of quality u(x, y). if the younger person contributes x hours daily to household chores and the older person contributes y hours daily.
a) How many first order partial derivatives does the function u have? What are they?
b) Choose one of these and explain in words what it describes,in terms of home environment and hours spent on chores.
c) What is the likely sign of the partial derivative you chose?
Explain why.
d) If the household expects guests, they would like to present them with a home environment of quality 10 during their stay. Relatethis desire to the concept of a level curve. Do you expect the level curve to be increasing or decreasing, and why?
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