The maximum value of Z=x+y,subjected to x+y l | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The feasible region is bounded by the lines $x+y=10$,$5x+3y=15$,$x=6$,and the axes $x=0, y=0$.The corner points of the feasible region are $A(0, 5

Vedclass · Accepted Answer

occurs at infinitely many points

Vedclass · Answer

(C) The feasible region is bounded by the lines $x+y=10$,$5x+3y=15$,$x=6$,and the axes $x=0, y=0$.The corner points of the feasible region are $A(0, 5)$,$B(0, 10)$,$C(6, 4)$,$D(6, 0)$,and $E(3, 0)$.We evaluate the objective function $Z=x+y$ at each corner point:At $A(0, 5)$,$Z = 0 + 5 = 5$.At $B(0, 10)$,$Z = 0 + 10 = 10$.At $C(6, 4)$,$Z = 6 + 4 = 10$.At $D(6, 0)$,$Z = 6 + 0 = 6$.At $E(3, 0)$,$Z = 3 + 0 = 3$.The maximum value of $Z$ is $10$,which occurs at both points $B(0, 10)$ and $C(6, 4)$.Since the objective function attains the same maximum value at two distinct corner points,it attains the same maximum value at every point on the line segment joining these two points.Therefore,the maximum value of $Z$ occurs at infinitely many points.

The maximum value of $Z=x+y$,subjected to $x+y \leq 10$,$5x+3y \geq 15$,$x \leq 6$,$x, y \geq 0$.

Similar Questions

$\left\{x \in R: \frac{2x-1}{x^3+4x^2+3x} \in R\right\}$ equals

Identify the incorrect statement among the following.

The vector sum of two forces is perpendicular to their vector difference. In that case,the forces

Which of the following bonds are present in silicones?

$\alpha-D$-Glucopyranose and $\beta-D$-Glucopyranose are

Vedclass Test Series

Exam Paper Generator

Online Exam Module