Concept explainers
13. a. A student earns $15 perhour for tutoring and $10 per houras a teacher’s aide. Let
b. The student is bound by the following constraints:
• To have enough time for studies, the student can workno more than 20 hours per week.
• The tutoring center requires that each tutor spend atleast three hours per week tutoring.
• I he tutoring center requires that each tutor spend nomore than eight hours per week tutoring.
Write a system of three inequalities that describes theseconstraints,
c. Graph the system of inequalities in part (b). Use only the first quadrant and its boundary, because, x and y are nonnegative.
d. Evaluate the objective function for total weekly earningsat each of the four vertices of the graphed region, [Thevertices should occur at (3,0), (8,0), (3,17). and(8,12).]
e. Complete the missing portions of this statement: Thestudent can earn the maximum amount per week by
tutoring for8hours per week and working
as a teacher’s aide for 12 hours per week. The
maximum amount that the student can earn each week$240
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Thinking Mathematically (7th Edition)
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