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Question

Mathematics Question on Maxima and Minima

The maximum value of 2x+y2x + y subject to 3x+5y263x + 5y \leq 26 and 5x+3y30,x0,y05x + 3y \leq 30, x \geq 0, y \geq 0 is

A

12

B

11.5

C

10

D

17.33

Answer

12

Explanation

Solution

We have, Maximize Z=2x+yZ=2 x+y Subject to constraints 3x+5y263 x+5 y \leq 26 5x+3y305 x+3 y \leq 30 x0,y0x \geq 0, y \geq 0 The graph of inequality are Maximum value Z=12Z = 12