A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation fo find x.
Solution
Given that x denotes the no of toys product in a day
⇒ The cost of production of each by = 55 - no. of toys produced in a day
⇒ (55 - x)
Total cost of production is nothing but product of no. of toys produced in a day and cost of
production of each toy
⇒ x(55 - x)
But total cost of production = Rs 750
⇒ x(55 - x) = 750
⇒ 55x - x2 = 750
⇒ 55x - x2 - 750 = 0
⇒ -(55x - x2 - 750) = 0
⇒ x2 -55x + 750 = 0
∴ The required quadratic from of the given data is
x2 -55x + 750 = 0
