Question

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

Answer 1

Answer: The system of linear inequalities to model the number of hours that you could work at each location in a week are,

Subject : 5x+7y,

`x+y\leq 15` and
`x\geq 4`, where x represents number of hours in tips working at a video store and y represents number of hours working at a landscaping company.

Explanation:

Let x represents number of hours in tips working at a video store and y represents number of hours working at a landscaping company.

Therefore total cost which have to be maximized,

Z= 5x+7y,

Now, we must work at least four hours per week at the video store,

Therefore,
`x\geq 4`

And, the total number of hours you work at both jobs and weak cannot be greater than 15.

Therefore,
`x+y\leq 15`

Thus, the required system of equation is, Z= 5x+7y,
`x+y\leq 15` ,
`x\geq 4`,

Since, at ( 4,11) Z= 97 which is maximum value.

Thus the solution of the above system of equation is x=4 and y=11.