(b)
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 toys
produced in a day. On a particular day, the total cost of production was Rs
750. We would like to find out the number of toys produced on that day.
(b)
Let the number of toys produced on that day = x
Given
that The cost of production of each toy (in rupees) was found to be 55 minus
the number of toys produced in a day
Therefore,
the cost of production of each toy that day = Rs 55 – x
So
that total cost of production that day = Rs x (55 – x)
Given
that On a particular day, the total cost of production was Rs 750.
So
that x (55 – x) = 750
55x – x2 = 750
Subtract
750 both side
– x2 + 55x – 750 = 0
Change
the sign
x2 – 55x + 750 = 0
So
that the number of toys is either 25 or 30.
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