ulie works no more than 40 hours per week during the school year. She is paid $16 an hour for mentoring students and $14 an hour for tutoring elementary students. She is paid $12 an hour as a personal grocery shopper. She wants to spend at least 10 hours but no more than 15 hours mentoring students. She also wants to spend 8 hours but no more than 12 hours as a personal grocery shopper. Find Julie’s maximum weekly earnings. (Linear Programming)   m= # of hrs. spent mentoring   t= # of hrs. spent tutoring   p=# of hrs. spent personal grocery shopping

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Julie works no more than 40 hours per week during the school year. She is paid $16 an hour for mentoring students and $14 an hour for tutoring elementary students. She is paid $12 an hour as a personal grocery shopper. She wants to spend at least 10 hours but no more than 15 hours mentoring students. She also wants to spend 8 hours but no more than 12 hours as a personal grocery shopper. Find Julie’s maximum weekly earnings. (Linear Programming)

 

m= # of hrs. spent mentoring

 

t= # of hrs. spent tutoring

 

p=# of hrs. spent personal grocery shopping

 

Earnings=16m+14t+12p

 

Total hours worked: m≥10  

 

                                       m≤15

 

                                       t≥0

 

                                       p≥8

 

                                       p≤12

 

                                    M+t+p≤40

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