Question

Consider $\frac{x}{2} + \frac{y}{4} \geq 1 $ and $ \frac{x}{3} + \frac{y}{2} \leq 1 , x , y \geq 0 $
Then number of possible solutions are :

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

Answer 1

Answer: (C)

Consider $\frac{x}{2} + \frac{y}{4} \geq 1 ,\frac{x}{3} + \frac{y}{2} \leq 1 , x , y \geq 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.