Homework Sourse10 A storage box with a square base must have a volume of 25
10. A storage box with a square base must have a volume of 250 cubic centimeters.
The top and the bottom cost $0:40 per square centimeter and the sides cost $0:20 per
square centimeter. Find the dimensions that will minimize cost.
The top and the bottom cost $0:40 per square centimeter and the sides cost $0:20 per
square centimeter. Find the dimensions that will minimize cost.
Solution
hx^2=250
c=2*x^2 0.4+4xh *0.2
=0.8x^2 +0.8 250/x
derivative=0
==>2x-250/x^2=0
==>x=5cm
==>h=10cm
