Question

For the following exercises, the cost of producing x cellphones is described by the function C(x) = x2 − 4x + 1000.

Find the approximate marginal cost, when 15 cellphones have been produced, of producing the 16th cellphone.

Answer 1

Consider the cost of producing cell phones is as follows:

C(x) = x2 – 4x + 1000

 

Determine approximate marginal cost, when 15 cell phones have been produced, of producing the 16th cell phone as follows:

C(16) – C(15) = [(16)2 – 4 × 16 + 1000] – [(15)2 – 4 × 15 + 1000]

                       = (256 – 64 + 1000) – (225 – 60 + 1000)

                       = 1192 – 1165

                       = 27