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

Question

Quizplus · Accepted Answer

The Answer of 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

The Ordering and Transportation Cost C of the Components Used C=200(300x2+xx+20)C = 200 \left( \frac { 300 } { x ^ { 2 } } + \frac { x } { x + 20 } \right)C=200(x2300​+x+20x​)

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