Question

The feasible region of an LPP is shown in the figure. If z = 3x + 9y, then the minimum value of z occurs at ______.

Options

• (5, 5)

• (0, 10)

• (0, 20)

• (15, 15)

Answer 1

The feasible region of an LPP is shown in the figure. If z = 3x + 9y, then the minimum value of z occurs at (5, 5).

Explanation:

At (5, 5), z = 3(5) + 9(5) = 60

At (0, 10), z = 3(0) + 9(10) = 90

At (0, 20), z = 3(0) + 9(20) = 180

At (15, 15), z = 3(15) + 9(15) = 180

∴ Minimum value of z is 60 at (5, 5).