PRODUCTION MANAGEMENT – DIFFERENTIATION

For comments, observations, questions and answers, email theotherwomaninmarriage@gmail.com

ILLUSTRATION:

Y = 2X²₁ + 3X²2 – 8X₁ – 12X² + 25

SOLUTION:

Y=4X₁ + 6X₂ – 8 – 12

dy

dX₁ = 4X₁ - 8

dy

dX₂ = 6X₂ - 12

4X₁ – 8 = 0 -------------------------------(1)

6X₂-12=0---------------------------------(2)

4X₁ – 8 = 0

4X₁ =8

4       4

X₁ = 2

6X₂-12=0

6X₂=12

6       6

X₂=2

Now substitute in the original equation;

Y= 2(2)² + 3(2)² – 8(2) – 12(2) + 25

Y= 8 + 12 – 16 – 24 +25

Y=20-16-24+25

Y=5

If you don’t understand this, pls let me know where you need clarification.