Question

Solve the following Linear Programming Problem graphically:
Maximize $Z = \frac{2x}{5} + \frac{3y}{10}$
subject to constraints:
$2x + y \le 1000$
$x + y \le 800$
$x, y \ge 0$.

Hint:

When evaluating fractions in objective functions, avoid calculating decimal equivalents immediately. Convert the entire function to a common denominator first, like $\frac{4x+3y}{10}$. This makes substituting whole coordinates much quicker and reduces basic calculation errors!

Answer 1