Question

The maximum value of Z = 3x + 5y, subject to 3x + 2y ≤ 18, x ≤ a, y ≤ 6, x, y ≥ 0 is ______.

विकल्प

• 30

• 32

• 27

• 36

Answer 1

The maximum value of Z = 3x + 5y, subject to 3x + 2y ≤ 18, x ≤ a, y ≤ 6, x, y ≥ 0 is 36.

Explanation:

Given,
Maximize z = 3x + 5y
Subject to constraints
3x + 2y ≤ 18,
x ≤ a, y ≤ 6, x, y ≥ 0

Corner point	z = 3x + 5y
A(4, 0)	12
B(4, 3)	27
C(2, 6)	36
D(0, 6)	30

Maximum value of z is 36.