Linear programing question.

A married couple can choose how long each partner would like to work. Partner A is paid $19 per hour and Partner B is paid $31 per hour. For taxation reasons they agree neithr partner should earn more the $750 more than the other per week and that the total number of hours they work should bot exceed 80 hours per week.

a) how many hours should each work per week in order to meet these constraints and achieve maximum income?
b) in addition, neither partner should work more than 9 hours more than the other. what is the solution now?

Question

Linear programing question.

A married couple can choose how long each partner would like to work. Partner A is paid $19 per hour and Partner B is paid $31 per hour. For taxation reasons they agree neithr partner should earn more the $750 more than the other per week and that the total number of hours they work should bot exceed 80 hours per week. 

a) how many hours should each work per week in order to meet these constraints and achieve maximum income? 
b) in addition, neither partner should work more than 9 hours more than the other. what is the solution now?

anonymous · Answer

For a): Maybe you can consider the total # of hours A and B should work in order to maximize the income, then express the difference of their income by the number of hours that A works( or # of hours B work). 
b): Maybe start from considering the total # of hours they should work, then # of hours B could work at most.