Answer:
Step-by-step explanation:
Let call:
x₁ number of units of product 1
x₂ number of units of product 2
We build the next table
metal frame electrical components Profit $/u
Product 1 (x₁) 1 2 13
Product 2 (x₂) 3 2 26(*)
Total supply ( in units) 3000 4500
(*) Up to 900 units . each unit above that number has to be ruled out
From the above table we have:
Objective function z
z = 13*x₁ + 26*x₂ to maximize
1*x₁ + 3*x₂ ≤ 3000
2*x₁ + 2*x₂ ≤ 4500
x₁ ≥ 0 ; 900 ≥ x₂ ≥ 0
Rearranging
z - 13* x₁ - 26*x₂ = 0
0 + x₁ +3*x₂ ≤ 0
0 + 2*x₁ +2*x₂ ≤ 0
x₁ ≥ 0
0 ≤ x₂ ≤ 900
Or
z - 13* x₁ - 26*x₂ = 0
0 + x₁ +3*x₂ + s₁ + 0s₂ = 0
0 + 2*x₁ +2*x₂ + 0s₁ + s₂ = 0
x₂ + 0s₁ + 0s₂ + s₃ = 900
x₁ ≥ 0 x₂ ≥ 0
And the table is ready for use Simplex Method
