CBSE Class 12 Applied Mathematics — Linear Programming

The maximum value of the function $z = 7x + 5y$, subject to the constraints $x \le 3, y \le 2, x \ge 0, y \ge 0$ is :

Solve the following Linear Programming Problem (LPP) graphically : Maximize $z = 3x + 5y$ subject to the constraints : $x + 2y \le 2000$ $x + y \le 1500$ $y \le 600$ $x \ge 0, y \ge 0$

Write the objective function which represents the total profit from the sale of total bags of both types.

Write the constraints that relate the total cost of both types of bags.

(a) How many bags of each type should the man buy to get maximum profit ? OR (b) Find the profit that the man can earn by selling all the bags.