The material for the base of an open box costs 1.5 times as much per unit area as the material for constructing the sides. Use Lagrange multipliers to find the dimensions of the box of largest volume that can be made for a fixed cost of 200.00. Round your answers to two decimal places. (Maximize subject to .)
A)Bottom dimensions: ; height:
B)Bottom dimensions: ; height:
C)Bottom dimensions: ; height:
D)Bottom dimensions: ; height:
E)Bottom dimensions: ; height:

Question

The material for the base of an open box costs 1.5 times as much per unit area as the material for constructing the sides. Use Lagrange multipliers to find the dimensions of the box of largest volume that can be made for a fixed cost of 200.00. Round your answers to two decimal places. (Maximize  subject to  .) ​
A)Bottom dimensions: ; height: 
B)Bottom dimensions: ; height: 
C)Bottom dimensions: ; height: 
D)Bottom dimensions: ; height: 
E)Bottom dimensions: ; height:

Quizplus · Accepted Answer

The Answer of The material for the base of an open box costs 1.5 times as much per unit area as the material for constructing the sides. Use Lagrange multipliers to find the dimensions of the box of largest volume that can be made for a fixed cost of 200.00. Round your answers to two decimal places. (Maximize  subject to  .) ​
A)Bottom dimensions: ; height: 
B)Bottom dimensions: ; height: 
C)Bottom dimensions: ; height: 
D)Bottom dimensions: ; height: 
E)Bottom dimensions: ; height:

The Material for the Base of an Open Box Costs