Answer:
Valid solution: (35,5)
Time constraint: x+y≤40
Earning constraint: 25x+15y≥900
Step-by-step explanation:
x denote the number of hours Chris spends tutoring.
and y denotes the number of hours he spend referring.
It is given that:
- Chris can work a maximum of 40 hours per week.
so, the inequality that can be formed using this information is:
x+y≤40.
( Since he can't work more than 40 hours per week )
Similarly,
- His tutoring job pays $25 per hour and he also makes $15 per hour refereeing soccer matches.
He needs to make atleast $ 900 in order to cover his expenses.
So, the inequality is:
25x+15y≥900
Hence , we plot the graph of these system of inequalities to find the solution.
We see that the point:
(35,5) lies on the boundary line and hence it is a valid solution to the system of inequalities.
whereas the point (32,9) lies out of the feasible region and hence is not a valid solution.
