Solve the Problem $c ( x ) = 3 x ^ { 2 } - 204 x + 46$

question 369

Multiple Choice

Solve the problem.
-Bob owns a watch repair shop. He has found that the cost of operating his shop is given by $c ( x ) = 3 x ^ { 2 } - 204 x + 46$ , where $c$ is cost and $x$ is the number of watches repaired. How many watches must he repair to have the lowest cost?

• A) 46 watches
• B) 34 watches
• C) 30 watches
• D) 23 watches

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Definitions:

Hydrocephalus

A condition characterized by an abnormal accumulation of cerebrospinal fluid within the cavities of the brain, potentially causing increased pressure and swelling.

Craniostenosis

A condition characterized by the premature fusion of one or more sutures of an infant's skull, affecting skull and brain growth.

Myelomeningocele

A type of spina bifida where there is a hernia of the spinal cord and its meninges through a defect in the vertebral column.

Spinal Column

The series of vertebrae extending from the skull to the lower back, encasing the spinal cord and providing structural support to the body.