Question: Use Lagrange multipliers to give an alternate solution The base of an aquarium with given volume V is made of slate and the sides are

Use Lagrange multipliers to give an alternate solution

The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.

Step by Step Solution

3.32 Rating (184 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

C x y z 5xy 2xz2yz gx y z xyz V VC 5y 2z 5x 2z 2x 2y AVg Ayz Axz Axy Then Xyz 5y 2... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!