The Marginal Cost of Manufacturing X Yards of a Certain $$C ^ {t } ( x ) = 3 - 0.01 x + 0.000006 x ^ { 2 }$$

question 60

Multiple Choice

The marginal cost of manufacturing x yards of a certain fabric is $$C ^ {t } ( x ) = 3 - 0.01 x + 0.000006 x ^ { 2 }$$
in dollars per yard. Find the increase in cost if the production level is raised from 1500 yards to 5500 yards.

• A) \(\$ 188,000.00\)
• B) \(\$ 198,000.00\)
• C) \(\$ 178,000.00\)
• D) \(\$ 218,000.00\)
• E) \(\$ 208,000.00\)

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Definitions:

Visual Acuity

A measure of the sharpness or clarity of vision, typically assessed by the ability to discern letters or numbers at a standardized distance.

Sphincter Pupillae

A ring of smooth muscle fibers around the edge of the pupil in the eye, which constricts the pupil in bright light.

Canal of Schlemm

A circular channel in the eye that collects aqueous humor from the anterior chamber and delivers it into the bloodstream.

Aqueous Humor

A clear fluid found in the eye, between the cornea and the lens, that helps maintain pressure and nourishes the cornea and lens.