D.P. GUPTA, Preetima Bajpai and, Sanjeev Kumar Jha Solutions for Chapter: Linear Programming, Exercise 1: Exercise 1

The maximum value of $z=6x+8y$ subject to constraints $2x+y\le 30, x+2y\le 24$ and $x\ge 0, y\ge 0$ is

A wholesale merchant wants to start the business of cereal with $\mathrm{Rs} 24000.$ Wheat is $\mathrm{Rs} 400$ per quintal and rice is $\mathrm{Rs} 600$ per quintal. He has capacity to store $200$ quintal cereal. He earns the profit $\mathrm{Rs} 25$ per quintal on wheat and $\mathrm{Rs} 40$ per quintal on rice. If he store $x$ quintal rice and $y$ quintal wheat, then for maximum profit, the objective function is

The value of objective function is maximum under linear constraints is

The feasible solution of a L.P.P. belongs to

In L.P.P., the constraints $5x+4y\ge 20, x\le 6, y\le 4$ form

The graph of inequations $x\le y$ and $y\le x+3$ is located in

A linear programming problem of linear functions deals with

The number of corner points of the $\mathrm{L}.\mathrm{P}.\mathrm{P}.$ Max $Z=20x+3y$ subject to the constraints $x+y\le 5, 2x+3y\le 12, x\ge 0, y\ge 0$ are