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, from the quadratic equation of find x.
Now we know that ‘x’ denotes the total number of toys produced in that day.
But, the cost of production of a single toy is 55 minus the number of toys produced that day i.e. ‘x’.
So, the total production cost would be the product of the cost of a single toy and the total number of toys i.e. product of ‘55 − x’ and ‘x’. Now, it is given here that total production cost of that day was Rs.750.
Hence, this is the required quadratic equation.