, if we remove a square of side 2
3
metre from each corner of the sheet and make a box from the remaining sheet, then
the volume of the box such obtained will be the largest and it is given by
2
V 3





  =
3
2
2
2
2
4
22
24
3
3
3






−
+












=
200 m3
27
Example 37 Manufacturer can sell x items at a price of rupees 5
−100

x
 each The
cost price of x items is Rs 
5x
+500


 Find the number of items he should sell to earn
maximum profit Rationalised 2023-24
APPLICATION OF DERIVATIVES
183
Solution Let S(x) be the selling price of x items and let C(x) be the cost price of x
items