Posted by **gemicia** on Sunday, December 29, 2013 at 10:37am.

A cylindrical oil-storage tank is to be constructed for which the following costs apply:

cost per square meter metal for ides $30.00

combined costs of concrete base and metal bottom $37.50(cost per square meter)

top 7.50 (cost per square meter)

The tank is to be constructed with dimensions such that the cost is minimum for whatever capacity is selected.

a) One possible approach to selecting the capacity is to build the tank large enough for an additional cubic meter of capacity to cost $8.(note that this does not mean $8 per cubic meter average for the entire tank.) what is the optimal diameter and optimal height of the tank?

b) instead of the approach used in part(a), the tank is to be of such a size that the cost will be $9 per cubic meter average for the entire storage capacity of the tank. set up the lagrange multiplier equations and verify that they are satisfied by an optimal diameter of 20 m and optimal height of 15m.

- lagrange multipliers -
**Anonymous**, Sunday, November 9, 2014 at 9:18am
765

## Answer this Question

## Related Questions

- math-optimal diameterand height - A cylindrical oil-storage tank is to be ...
- the lagrange multiplier equation - A cylindrical oil-storage tank is to be ...
- Calculus - A box is constructed out of two different types of metal. The metal ...
- calculus - A box is constructed out of two different types of metal. The metal ...
- calculus - A box is contructed out of two different types of metal. The metal ...
- Calculus AB/AP - A tank with a rectangular base and rectangular sides is to be ...
- calculus - A tank with a rectangular base and rectangular sides is to be open at...
- Calc 1 - A rectangular storage container with an open top is to have a volume of...
- math - Suppose that you are responsible for predicting the cost of constructing ...
- Calc 1 (Optomization) - A rectangular storage container with an open top is to ...

More Related Questions