The following data give the marginal cost for different levels of production at Zipperty-Doo-Dah Inc. Here x represents the number of zippers produced and C'(x) is in dollars per zipper. Approximate the total in going from a production level of 50 zippers to 90 zippers. $\begin{array} { l | l | l | l | l | l | l }
x & 50 & 60 & 70 & 80 & 90 \
\hline C ^ { \prime } ( \mathrm { x } ) & 4.5 & 5.0 & 5.3 & 5.8 & 6.5
\end{array}$
A) $43.20
B) $135.50
C) $432.00
D) $216.00

Question

The following data give the marginal cost for different levels of production at Zipperty-Doo-Dah Inc. Here x represents the number of zippers produced and C'(x) is in dollars per zipper. Approximate the total in going from a production level of 50 zippers to 90 zippers. $\begin{array} { l | l | l | l | l | l | l } 
x & 50 & 60 & 70 & 80 & 90 \
\hline C ^ { \prime } ( \mathrm { x } ) & 4.5 & 5.0 & 5.3 & 5.8 & 6.5
\end{array}$
A) $43.20
B) $135.50
C) $432.00
D) $216.00

Quizplus · Accepted Answer

The total cost can be approximated by the sum of the marginal costs over the intervals. Using the trapezoidal rule: $(4.5+5.0)/2*10 + (5.0+5.3)/2*10 + (5.3+5.8)/2*10 + (5.8+6.5)/2*10 = 216$.

The Following Data Give the Marginal Cost for Different Levels