(ii) 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 ₹750. We would like to find out the number of toys produced on that day.
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(ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found
Solution
The correct options are B 25, D 30
Let the number of toys produced be
x
.
∴
Cost of production of each toy =
Rs(55−x)
It is given that, total production of the toys = Rs750
∴x(55−x)=750
⇒x2−55x+750
=0
⇒x2−25x−30x+750
=0
⇒x(x−25)−30(x−25)
=0
⇒(x−25)(x−30)
=0
Either, x−25
=0
or , x−30
=0
⇒x
=25
or
x=30
Hence, the number of toys will be either
25
or
30
.
Hey KitKat good evening dear
Hru
Verified answer
>>The Number Of Toys Produced On That Day Is Either 25 Or 30.
>> The Maximum Number Of Toys Produced On That Day Is 30.
>> The Minimum Number Of Toys Produced On That Day Is 25