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
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
Step by step
Solved in 7 steps