Question

Consider $\frac{x}{2} + \frac{y}{4} \ge1$ and $\frac{x}{3} + \frac{y}{2} \le 1 , x ,y \ge0$. Then number of possible solutions are :

• A. Zero
• B. Unique
• C. Infinite
• D. None of these

Answer 1

Answer: (C)

Infinite

Answer 2

Consider $\frac{x}{2} + \frac{y}{4} \ge1 , \frac{x}{3} + \frac{y}{2} \le1 , x, y \ge 0$ convert them into equation and solve
them and draw the graph of these equations we get $y = 1$ and $x = 3/2$
From graph region is finite but numbers of possible solutions are infinite because for different values of $x$ and $y$ we have different or infinite no. of solutions.