Solve the following Linear Programming Models. (10 points each)

1. A clothing manufacturer makes two types of jackets, design A and design B. The design A jacket sells to the retail stores for P2,500 each and the design B jacket for P2,100. The cost for manufacturing each design A is P1,750 and the cost of each design B is P1,200. If the manufacturer makes no more than 120 jackets a week and budgets no more than P150,000 per week, how many of each type should be made to maximize profit?

SOLUTION:

Let X = ________________________________ Y = ________________________________

Objective Function: __________________________

Subject to: ________________________________

________________________________

________________________________

Graph of the LP Model

Extreme Points

Values of the objective function

Decision: X = ______________; Y = ______________; P = ______________

1. Maximize: P = 30X + 25Y

Subject to: X + 6Y 1,800

3X + 2Y 2,700

X 0, Y 0

SOLUTION:

Graph of the LP Model

Extreme Points

Values of the objective function

Decision: X = ______________; Y = ______________; P = ______________