The cost in dollars of producing x tacos is C(x) = -0.00375x² + 1.5x + 1000, for 0 ≤ x ≤ 180.
(a) Find the marginal cost.
(b) Find and interpret the marginal cost at a production level of 100 tacos.
(c) Find the exact cost to produce the 101st taco.
(d) Compare the answers to parts (b) and (c). How are they related?
(e) Show that whenever C(x) = ax² + bx + c, [C(x + 1) - C(x)] - C′(x) = a.

(f) Show that whenever C(x) = ax² + bx + c,

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C(x + 1) C(x) = 3) = c²(x + ²) 2 -