The parcel delivery service has contracted you to build the closed box with the square base which has the volume of 8500 cubic inches.
i) State surface area of box as the function of X
ii) Graph function found in part a .
iii) Find minimum amount of cardboard which can be used to make the box.
iv) Find dimensions of box which minimize surface area.
v) why might UPS be interested in designing the box which minimize surface area.