Constraints

Question

You make $20/hour tutoring Chemistry and $16/hour tutoring math. Let x represent the number of hours per week you spend tutoring Chemistry and y represent the number of hour per week you spend tutoring math.

Part 1 of 4: (2 pts)

Write the objective function, z and give all of the constraints.

Part 2 of 4: (8 pts)

Using the following information, write the constraints. There should be 4 total including x greater or equal than 0.

You can tutor no more than 18 hours per week

The tutoring center requires that you tutor math at least 6 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

Answer 1

ANSWERS

 

PART 1-  Z = 20X + 16Y, the constrants are the variables x and y, z is not as it is the function name

 

PART 2 -  this is a two equation part

 

               z = 20x + 16y

               18 ≥ x + y

 

one must know one variable value to get the other value