A rectangular box has a square base. The sides and base cost \10persquaremetertomanufacture,whilethelidcosts20 per square meter. The box must have a volume of 1000 m3.
If x is the length of a side of the square base and h is the height, what is the ratio xh that minimizes the total manufacturing cost?
a) 1
b) 2
c) 1.5
d) 3