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# ♕Apparel Soccer Queen♕

### the right fit for women, not just men!

My business plan is to have soccer warm ups that fit for women especially. I am selling pants and jackets as two separate products. The pants are sold in women sizes Small(S), Medium(M), Large(L), Extra Large (XL), and Double Extra Large (XXL).

# Restrictions

I will not be able to make more than 50 pants a month and 25 jackets a month. The pants cost \$45 and the jackets cost \$35. It costs me \$25 jackets to make the pants and \$20 to make the jackets. I can not spend more than \$7500 total on any one product.

# Systems of Inequalities

x= the number of pants

y= the number of jackets

PROFIT EQUATION

Sell

45x + 35y = A

Cost

25x + 20y = B

Profit

20x + 15y = C

Restrictions

x ≤ 50

x ≥ 0

y ≤ 25

y ≥ 0

25x ≤ 7500

20y ≤ 7500

# Maximizing Profit

PROFIT

45x + 35y = A

VERTICES OF FEASIBLE REGION

1. (0, 0) 2. (50, 0) 3. (50, 25) 4. (0, 25)

1. 45(0) + 35(0)= \$0

2. 45(50) + 35(0)= \$2,250

3. 45(50) + 35(25)= \$3125

4. 45(0) + 35(25)= \$875

# CONCLUSION

To make the most profit i should sell 50 pants and 25 jackets.