1)

The maximum  value of 2x+y  subject to 3x+5y $\leq$ 26  and 5x+3y $\leq$ 30, x $\geq$ 0, y $\geq$ o , is 


A) 12

B) 11.5

C) 10

D) 17.33

Answer:

Option A

Explanation:

We have ,

 Maximize   Z= 2x+y

  Subject to constraints

$3x+5y\leq 26$

 $5x+3\leq30$

$x\geq 0, y\geq0$

 The graph of in equality  are

 1862021184_m1.PNG

 

Maximum value of z=12