Activity No. 5

Instruction: Solve using the Graphical Method

1)Maximize: P = 30x + 40y

Subject to : 4x + 2y 32

x + 3y 18

1) Maximize : P = 20x + 30y

Subject to: 4x + 2y 4

4x + 8y 16

2) Maximize: P = 60x + 100y

Subject to: 2x + 2y 140

2x + 4y 160

3) Maximize : P = 5x + 8y

Subject to: 3x + 4y 150

x + 2y 60

Activity No.4

Instruction: Solve the following problems using the Graphical Method:

1. A manufacturer produces a scooter and a bicycle each of which must be processed

through two machine centers. Machine center A has 120 hours available and center

B has 180 hours . Manufacturing scooter needs 4 hours at center A and 10 hours at

center B, while a bicycle needs 6 hours at center A and 3 hours at center B. If the

contribution to profit of one scooter is P60, and one bicycle is P40, how many units

of each must be produced to maximize profit?

2. The Margan Furniture makes two products: tables and chairs, which must be

processed through assembly and finishing departments. Assembly departments

available for 60 hours in every production period, while the finishing is available for

48 hours of work. Manufacturing one table requires four (4) hours in the assembly

and two (2) hours in the finishing. Each chair requires two (2) hours in the assembly

and four (4) hours in the finishing. One table contributes P80 to the profit , while

chairs contributes P60. The problem is to determine the number of tables and chairs

to make per production period, in order to maximize profit.

3. A clock maker makes two types of wood clock sell at various malls. It takes him

three (3) hours to assemble a pine clock, which requires two (2) oz of varnish. It

takes (4) hours to assemble a molave clock, which takes four (4) oz of varnish. He

has eight oz of varnish available in stock and he can work 12 hours. If he makes

P100 profit on each pine clock and P120 on each molave clock, how many of each

type should he make to maximize his profits?