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Question

Mathematics Question on Linear Programmig Problem

Objective function z=30x30yz=30x-30y is subject to which combination of constraints, with feasible solution shown in the figure.
Alternative Text
(A)x0,y0,x15x \geq 0, \quad y \geq 0, \quad x \leq 15
(B)y20,x+y30y \leq 20, \quad x + y \leq 30
(C)x+y30,x+y15,2xy5x + y \leq 30, \quad x + y \leq 15, \quad 2x - y \leq 5
(D)2x+y30,x+y15,x>152x + y \leq 30, \quad x + y \leq 15, \quad x > 15
(E)3x+y30,x+3y15,y203x + y \leq 30, \quad x + 3y \leq 15, \quad y \geq 20
Choose the correct answer from the options given below:

A

(A), (B) and (C) Only

B

(A) and (B) Only

C

(A) and (D) Only

D

(A) and (E) Only

Answer

(A) and (B) Only

Explanation

Solution

The correct option is (B): (A) and (B) Only