Question

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

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

Answer 1

Answer: (C)

Consider $\frac{x}{2}+\frac{y}{4}\ge 1,\frac{x}{3}+\frac{y}{2}\le 1,x,y\ge 0$ 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.