Question

A small firm manufactures gold rings and chains.The total number of rings and chains manufactured per day is almost $24$. It takes $1h$ to make a ring and $30$ min to make a chain. The maximum number of hours available per day is $16$. If the profit on a ring is $Rs.300$ and that on a chain is $Rs.190$, then find the number of rings and chains that then find the number of rings and chains that should be manufactured per day so as to earn the maximum profit. Make it as an LPP and solve it graphically.

Answer 1

intersection point of x+y=24 and 2x+y=32

$2x+y=32$ ......................(i)

$x+y=24$ ....................(ii)

subtract (ii) from (i)

$x=8$

Now put x in(ii)

$y=16$