Background: Optimization. You work for a company that manufactures cylindrical steel drums that c...
Background: Optimization. You work for a company that manufactures cylindrical steel drums that can be used to transport various petroleum products. Your assignment is to determine the dimensions (radius and height) of a drum that is to have a volume of I cubic meter while minimizing the cost of the drum I. The cost of the steel used in making the drum is $3 per square meter. The top and bottom of the im are cut from squares, and all unused material from these squares is considered waste. The remainder of the drum is formed from a rectangular sheet of steel, assuming no waste. Ignoring all costs other than material cost,find the dimensions of the drum that ill minimize the cost.
Background: Optimization. You work for a company that manufactures cylindrical steel drums that can be used to transport various petroleum products. Your assignment is to determine the dimensions (radius and height) of a drum that is to have a volume of I cubic meter while minimizing the cost of the drum I. The cost of the steel used in making the drum is $3 per square meter. The top and bottom of the im are cut from squares, and all unused material from these squares is considered waste. The remainder of the drum is formed from a rectangular sheet of steel, assuming no waste. Ignoring all costs other than material cost,find the dimensions of the drum that ill minimize the cost.