Question

A cottage industry produces a certain number of toys in a day.The cost of production of each toy(in rs) was found to be 55 minus the no of toys produced in a day.On a particular day, the total cost of production was rs.750.Find out the no of toys produced on that day.​

Answer 1

Refer the above attachment :)

-@PinkiMeena...❤~

Answer 2

$\bf {\huge{ \underline{ \underline{ \red{ Aɴsᴡᴇʀ}}}}}$

• Let the number of toys produced on that day = x

• Cost of production of each toy that day =55−x

• On a particular day, total cost of production was 750

$\begin{gathered} \sf⟹ \: x(50 −x)=750 \: \: \: \: \: \: \: \\ \sf⟹x2−55x+750=0 \: \\ \\ \sf \: \: \: \: \: \: \: \: \: ⟹x2−30x−25x+750=0 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: ⟹x(x−30)−25(x−30)=0 \\ \\ \sf⟹x=25,30 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{gathered}$

$\therefore{ \small{ \boxed{ \underline{ \pink{ \sf{Maximum \: number \: of \: toys \: produced \: that \: day =30}}}}}}$