Question

Assigning a value of 10 to the objective function, i.e., making 5x1 + 2x2 =10, the line representing the objective function goes through the following two points a. (10, 0) and (4, 0)b. (10, 0) and (0, 4)c. (0, 10) and (0, 4)d. (0, 10) and (4, 0)e. none of the above

Answer 1

Option e.

Explanation:

Assigning a value of 10 to the objective function, the equation of line is

`5x_1+2x_2=10`

At
`x_1=0`

`5(0)+2x_2=10`

`2x_2=10`

`x_2=5`

It means the line passes through (0,5).

At
`x_2=0`

`5x_1+2(0)=10`

`5x_1=10`

`x_1=2`

It means the line passes through (2,0).

The line does not passes though the given points.

Therefore, the correct option is e.