PRODUCTION PLANNING

Production Planning



Production Planning

Solution

X = Standard Box Units

Y = Narrow Box Units

Z = Wide Box Units

Objective Function

Maximum Profit = 8x + 6y + 10z

Constraints

Trimmer………………………. 0.2x + 0.4y + 0.6z <= 150 (equation 01)

Sharper ……………………….. 0.6x + 0.2y + 0.5z <= 150 (Equation 02)

Assembly……………………… 0.4x + 0.4y + 0.4z <= 600 (Equation 03)

Computation

Simultaneously solving equation one and two

0.2x + 0.4y + 0.6z = 150

0.6x + 0.2y + 0.5z = 150

0.12x + 0.24y + 0.36z = 90

-0.12x -0.04y -0.13z = -30

0.02y + 0.26z = 60 (equation 04)

Simultaneously solving equation one and three

0.2x + 0.4y + 0.6z = 150

0.4x + 0.4y + 0.4z ...