9514 1404 393
Explanation:
a. The constraints mean exactly what the problem statement tells you they mean:
55x +65y < 3240 . . . . Tanya earned less than $3240 last week
x + y ≤ 50 . . . . she can work no more than 50 hours per week
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b. Any point in the "Overlapping region" is a solution to the system of inequalities. Here are a couple of them.
(x, y) = (10, 35)
Tanya could have worked 10 hours for public firms and 35 hours for private firms, earning (55)(10) +(65)(35) = 2825 last week.
(x, y) = (40, 5)
Tanya could have worked 40 hours for public firms and 5 hours for private firms, earning (55)(40) +(65)(5) = 2525 last week.
