Question

QUESTION 3 Given this problem: Max Z = $0.3x + $0.90y Subject to: 2x + 3.2y <= 160 4x + 2.0y <= 240 y <= 40 X, y >=0 a) Solve for the quantities of x and y which will maximize Z. The x = The y = b) What is the maximum value of Z? The Z=

Answer 1

LINDO Code:

Max 0.3x + 0.9y
s.t.
2x + 3.2y < 160
4x + 2y < 240
y < 40
end

Solution:

Global optimal solution found. Objective value: Infeasibilities: Total solver iterations: Elapsed runtime seconds: 40.80000 0.000000 2 1.78 Model Class: LP Total variables: Nonlinear variables: Integer variables: 2 0 0 Total constraints: Nonlinear constraints: 4 0 Total nonzeros: Nonlinear nonzeros: 7 0 Variable X Y Value 16.00000 40.00000

(a)

x = 16
y = 40

(b)

max Z = 40.8