Question

Find the extreme values of the objective function F = 16x - 2y + 40 subject to constraints 3x + 4y ≤ 24,0 ≤ y≤ 4 and 0≤x≤7.​

Answer 1

Answer:

Step-by-step explanation:

Z=3x+2y

subject to the constraints

x+2y≤10

3x+y≤15

Convert these inequalities into equations

x+2y=10

3x+y=15

From (ii), we get

x=0⟹y=5 and y=0 when x=10

So, the points (0,5) and (10,0) lie on the line given in (ii)

From (iii), we get the points

(0,15) and (5,0)

Let's plot these point and we get the graph in which, shaded part shows the feasible region.