Chapter 11.4, Problem 52E

(a)

To determine

To find: The marginal cost.

(b)

To determine

To find: The marginal cost at a production level of 100 tacos and interpret the result.

(c)

To determine

To find: The exact cost to produce the 101^st taco.

(d)

To determine

To compare: The answers of part (b) and part (c).

(e)

To determine

To show: If $C\left(x\right)=a{x}^2+bx+c$, then $\left[C\left(x+1\right)-C\left(x\right)\right]-C^{\prime }\left(x\right)=a$.

(f)

To determine

To show: If $C\left(x\right)=a{x}^2+bx+c$, then $C\left(x+1\right)-C\left(x\right)=C^{\prime }\left(x+\frac{1}{2}\right)$.