Linear Programming

Question

A student earns $12 per hour for tutoring and $6 per hour as a teacher's aide. Let x = the number of hours each week spent tutoring and y = the number of hours each week spent as a teacher's aide. Complete parts (a) through (e).

A. Write the objective function that describes total weekly earnings. z =

B. The student is bound by three constraints. Write an inequality for each constraint.

1. To have enough time for studies, the student can work no more than 21 hours per week.

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 earnings at each of the four vertices of the graphed region.

E. Complete the missing portions of the statement below. Note that the maximum value of the objective function occurs at one or more vertices of the graphed region.

Answer 1

A the total weekly earning is the sum of tutoring and teacher's aide. z=12x+6y