EXAMPLE OF LINEAR PROGRAMMING - AAU

1 EXAMPLE OF LINEAR PROGRAMMINGEXAMPLE OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 cost of producing each unit ofYis: for machineA: 24 minutes, for machineB: 33 OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 cost of producing each unit ofYis: for machineA: 24 minutes, for machineB: 33 plans for a particular week are: 40 hours of work on machineA, 35 hours of work on OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 cost of producing each unit ofYis: for machineA: 24 minutes, for machineB: 33 plans for a particular week are: 40 hours of work on machineA, 35 hours of work on week starts with.

2 A stock of 30 units ofXand 90 ofY, A demand of 75 units ofXand 95 OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 cost of producing each unit ofYis: for machineA: 24 minutes, for machineB: 33 plans for a particular week are: 40 hours of work on machineA, 35 hours of work on week starts with: A stock of 30 units ofXand 90 ofY, A demand of 75 units ofXand 95 to plan the production, in order to end the week with the maximum stock? EXAMPLE OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 cost of producing each unit ofYis: for machineA: 24 minutes, for machineB: 33 plans for a particular week are: 40 hours of work on machineA, 35 hours of work on week starts with: A stock of 30 units ofXand 90 ofY, A demand of 75 units ofXand 95 to plan the production, in order to end the week with the maximum stock?

3 Maximize(x+30 75)+(y+90 95) EXAMPLE OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 cost of producing each unit ofYis: for machineA: 24 minutes, for machineB: 33 plans for a particular week are: 40 hours of work on machineA, 35 hours of work on week starts with: A stock of 30 units ofXand 90 ofY, A demand of 75 units ofXand 95 to plan the production, in order to end the week with the maximum stock?Maximize(x+30 75)+(y+90 95)x=units ofXto be producedy=units ofYto be producedEXAMPLE OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 cost of producing each unit ofYis: for machineA: 24 minutes, for machineB: 33 plans for a particular week are: 40 hours of work on machineA, 35 hours of work on week starts with: A stock of 30 units ofXand 90 ofY, A demand of 75 units ofXand 95 to plan the production, in order to end the week with the maximum stock?

4 Maximize(x+30 75)+(y+90 95)x=units ofXto be producedy=units ofYto be producedrestricted to: EXAMPLE OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 cost of producing each unit ofYis: for machineA: 24 minutes, for machineB: 33 plans for a particular week are: 40 hours of work on machineA, 35 hours of work on week starts with: A stock of 30 units ofXand 90 ofY, A demand of 75 units ofXand 95 to plan the production, in order to end the week with the maximum stock?Maximize(x+30 75)+(y+90 95)x=units ofXto be producedy=units ofYto be producedrestricted to:50x+24y 40 60 EXAMPLE OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 cost of producing each unit ofYis: for machineA: 24 minutes, for machineB: 33 plans for a particular week are: 40 hours of work on machineA, 35 hours of work on week starts with: A stock of 30 units ofXand 90 ofY, A demand of 75 units ofXand 95 to plan the production, in order to end the week with the maximum stock?

5 Maximize(x+30 75)+(y+90 95)x=units ofXto be producedy=units ofYto be producedrestricted to:50x+24y 40 6030x+33y 35 60 EXAMPLE OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 cost of producing each unit ofYis: for machineA: 24 minutes, for machineB: 33 plans for a particular week are: 40 hours of work on machineA, 35 hours of work on week starts with: A stock of 30 units ofXand 90 ofY, A demand of 75 units ofXand 95 to plan the production, in order to end the week with the maximum stock?Maximize(x+30 75)+(y+90 95)x=units ofXto be producedy=units ofYto be producedrestricted to:50x+24y 40 6030x+33y 35 60x 75 30 EXAMPLE OF LINEAR PROGRAMMINGA manufacturer produces two products,XandY, with two machines, cost of producing each unit ofXis: for machineA: 50 minutes, for machineB: 30 cost of producing each unit ofYis: for machineA: 24 minutes, for machineB: 33 plans for a particular week are: 40 hours of work on machineA, 35 hours of work on week starts with: A stock of 30 units ofXand 90 ofY, A demand of 75 units ofXand 95 to plan the production, in order to end the week with the maximum stock?

6 Maximize(x+30 75)+(y+90 95)x=units ofXto be producedy=units ofYto be producedrestricted to:50x+24y 40 6030x+33y 35 60x 75 30y 95 90