Answer: D(2,6)
Step-by-step explanation:
To find the values of x and y that maximize the objective function
x+y≤8....(line 1)
2x+y≤10.......(line 2)
x≥0......(3)
y≥0.......(4)
we need need to plot them by the following steps.
Step 1: Find coordinates(x,y) of line(1) x+y=8
Put x=0 , we get y =8
Put y=0, we get x=8
by this we got points (0,8) and (8,0) to plot line (1)........(a)
Step 2: Find coordinates (x,y) of line(2) 2x+y=10
Put x=0 , we get y =10
Put y=0, we get 2x=10⇒x=5
by this we got points (0,10) and (5,0) to plot line (2)...........(b)
so with the help of (a) , (b) ,(3) and (4) ,we plot the given graph .
By the graph we can find that at (x,y)=(2,6) the objective function is maximized , so option D is right.
