A Closed Rectangular Container of Volume 96 Cubic Metres Is

Essay

A closed rectangular container of volume 96 cubic metres is to be made from three different materials.The top and the bottom of the container are to be made from a material that costs $4 per square metre, two parallel sides (say left and right) are to be made from a material that costs $3 per square metre, and the other two parallel sides (front and back) are to be made from a material that costs $1 per square metre.Let x and y be the dimensions of the base of the container and z be its height in metres.(i) Express the total cost of the container (in dollars) as a function of x and y.(ii) Find dimensions of the most economical container and how much it costs.