Write an equation that models the total tips you receive from the two jobs.

Question

You make $5 an hour in tips working at a video store and $7 an hour in tips working at a landscaping company. You must work at least 4 hours per week at the video store, and the total number of hours you work at both jobs in a week cannot be greater than 15. Write a system of linear inequalites to model the number of hours that you could work at each location in a week.

Answer 1

hours minimum at video store = 4

15>/=v>/=4, 0</=L</=11 where v=hours at video store, L=hours at Landscaping store

tips at video store >/= 4x5 = 20

hours at both </= 15, no more than 15 hours total

hours at video store are from 4 to 15, with hours at landscaping 0 to 11

tips at video store = $5 per hour, tips at are $7 per hour at landscaping company

total tips are minimum $20 if you work 4 at videos, 0 at Landscaping

to max 4x5+11x7 = $97 if you work 4 at videos and 11 at Landscaping

0</=L</=11

4</=v </=15

subject to objective function

maximize 5v +7L