$\text { An open box of maximum volume is to be made from a square piece of material } 30$

question 77

Multiple Choice

$\text { An open box of maximum volume is to be made from a square piece of material } 30$ centimeters on a side by cutting equal squares from the corners and turning up the sides(see figure) . What is the domain of the function $V = x ( 30 - 2 x ) ^ { 2 }$ .

• A) domain: \(0 < x < \infty\)
• B) domain: 30
• C) domain: \(0 < x < 15\)
• D) domain: \(0 < x < 30\)
• E) domain: 15

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Definitions:

Bowed Outward

Refers to the shape of the production possibility frontier that demonstrates increasing opportunity costs as resources are reallocated from producing one good to another.

Tennis Rackets

Sporting equipment consisting of a handled frame with a open hoop where a network of strings is stretched tightly.

Production Of Socks

The manufacturing process of creating socks, involving various steps from the sourcing of materials to the final product packaging.

Production Possibilities Frontier

A graphical representation showing the maximum combinations of goods and/or services that can be produced with a fixed set of resources.