1. Solve the following problem using the graphical method: Please show all steps:

Min 5X + 6Y

s.t. 3X + Y > 15

X + 2Y > 12

3X + 2Y > 24

X , Y > 0

2. Solve using the graphical method. Choose your variables, write the objective function and the

constraints, graph the constraints, shade the feasibility region, label all corner points, and

determine the solution that optimizes the objective function. Please show all steps:

The Marketing Club at your college has decided to raise funds by selling three types of T-shirts:

one with single-color ordinary design, one with a two-color fancy design, and one with a

three-color very fancy design. The club feels that it can sell up to 300 T-shirts. Ordinary Tshirts

will cost the club $6 each, fancy T-shirts $8 each, and very fancy T-shirts $10 each, and

the club has a total purchasing budget of $3,000. It will sell ordinary T-shirts at profit of $4

each, fancy T-shirts at profit of $5 each, and very fancy T-shirts at a profit of $4 each. How

many of each kind of T-shirt should the club order to maximize profit?