The Material for the Base of an Open Box Costs

question 109

Multiple Choice

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:

---

Definitions:

Osmotic Thirst

A type of thirst arising from a high concentration of solutes in the body's fluids, prompting the desire to drink to dilute them.

Hypovolemic Thirst

Thirst caused by low fluid volume in the body due to factors such as bleeding or high levels of sweating.

Dehydration

A condition resulting from excessive loss of body water, affecting the body's ability to carry out normal functions.

Organizing Effects

Hormonal actions that influence the organizational development of the fetal brain.