The minimum value of z=10x+25y subject to 0≤x≤3,0≤y≤3,x+y≥5 is ________

Correct answer: (A) 80. Given, Minimize z=10x+25y Subject to conditions 0≤x≤3,0≤y≤3,x+y≥5 z_((3,2))=80z_((3,3))=105z_(2,3)=95

Q93 / 150 · MHT CET 2019 (02 May Shift 1) · Mathematics

The minimum value of $z = 10 x + 25 y$ subject to $0 \leq x \leq 3, 0 \leq y \leq 3, x + y \geq 5$ is ________

Given,
Minimize

z = 10 x + 25 y

Subject to conditions

0 \leq x \leq 3, 0 \leq y \leq 3, x + y \geq 5

z_{(3,2)} = 80 z_{(3,3)} = 105 z_{(2,3)} = 95

Hence, the correct answer is option: 'A'.