Stitches Inc can make at most 30 jean jackets and 20 leather jackets in a week. It takes a worker 10 hours to make a jean jacket and 20 hours to make a leather jacket. The total number of hours by all of the employees can
be no more than 500 hours per week. The profit on a jean jacket is $20 and the profit on a leather jacket is $50.

Write the system of inequalities that describes the constraints.
x > 0
y > 0
Constraint for total number of jean jackets:
Constraint for total number of leather jackets:
Constraint for hours worked:
b. Write the objective function for the profit.
c. Graph the system of inequalities, labeling each axis.
d. What is the maximum profit that can be made?
e. How many of each jacket should be made to achieve the maximum profit?