The Ordering and Transportation Cost C of the Components Used $C = 200 \left( \frac { 300 } { x ^ { 2 } } + \frac { x } { x + 20 } \right)$

question 79

Multiple Choice

The ordering and transportation cost C of the components used in manufacturing a product is given by $C = 200 \left( \frac { 300 } { x ^ { 2 } } + \frac { x } { x + 20 } \right)$ where C is measured in thousands of dollars and x is the order size in hundreds. Find the order size that minimizes the cost. Round your answer to the nearest unit.

• A)58 hundreds
• B)56 hundreds
• C)53 hundreds
• D)55 hundreds
• E)60 hundreds

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Definitions:

Fast-Twitch Fibers

A type of muscle fiber that contracts quickly and is used in short bursts of high-intensity activities, but tires more easily than slow-twitch fibers.

Slow-Twitch Fibers

Muscle fibers characterized by their slow contraction speed and high endurance capacity, primarily utilizing aerobic respiration for energy.

Olympic

Relating to the ancient or modern Olympic Games, a series of athletic competitions among representatives of various countries.

Aerobically

Pertaining to processes or activities that require the presence of oxygen, often used in the context of exercise or cellular metabolism.