The Material for Constructing the Base of an Open Box $x = y = 5.77$

question 44

Multiple Choice

The material for constructing the base of an open box costs 1.5 times as much per unit area as the material for constructing the sides. For a fixed amount of money $150.00, find theDimensions of the box of largest volume that can be made.

• A) base dimensions: \(x = y = 5.77\); height \(: z = 4.33\)
• B) base dimensions: \(x = y = 4.33\); height \(: z = 5.77\)
• C) base dimensions: \(x = y = 7.75\); height \(: z = 4.33\)
• D) base dimensions: \(x = y = 4.33\); height: \(z = 7.75\)
• E) base dimensions: \(x = y = 7.75\); height: \(z = 3.06\)

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Definitions:

Bread Molds

Fungi, particularly in the genus Rhizopus, that grow on bread under humid conditions, causing spoilage.

Sac Fungi

A group of fungi characterized by their sac-like structures, called asci, where spores develop.

Mushrooms

Fungi that produce a fruiting body, often umbrella-shaped, which contains spores for reproduction.

Lichens

Symbiotic organisms composed of a fungi and a photosynthetic partner, usually an alga or cyanobacterium, living together in a mutually beneficial relationship.