Question on constraints

Question

Using the following information write the constraints. There should be five total.

You can tutor no more than 18 hours per week

The tutoring center requires that you tutor math at least 4 hours per week

Since the demand for math tutors is greater than the demand for chemistry tutors you must spend at least twice the number of hours tutoring math as you do tutoring chemistry

The objective function is z= 24x + 20y

Answer 1

x+y </=18

x+y >/= 4

x>/0

y>/+0

x>/= 2y

the constraints enclose a quadrilateral with 4 corners

the top right corner (18,36) gives the maximum for z

z=24(18)+20(36) is the linear programming solution

easier to see if you graph it