Linear Programming Questions

Maximize $Z=2X_1+3X_2$ subject to $2X_1+X_2\le 6$, $X_1-X_2\ge 3$, $X_1,X_2\ge 0$. The solution to the LPP is:

For a Linear Programming Problem, $Z=2x+4y$. Feasible corner points are $O(0,0),A(0,2.5),B(3,1),C(4,0)$. What is the optimal maximized value of $Z$?

Ram is a fruit seller. Apples cost Rs 80/kg and Mangoes Rs 120/kg. Profits are Rs 10/kg and Rs 12/kg respectively. Let $x$ be kgs of apples and $y$ be kgs of mangoes. If Ram wants to maximize profit, the objective function $Z$ is: