Question

A company has two packaging machines in a unit, each with a different daily capacity. The capacity of machine 1 is defined by the function f(m) = (m + 4)2 + 100, and the capacity of machine 2 is defined by the function g(m) = (m + 12)2 − 50, where m is the number of minutes the packaging machine operates. Create the function C(m) that represents the combined capacity of the two machines.

Answer 1

C(m) = (m + 4)^2 + 100 + (m + 12)^2 - 50 =
(m + 4)(m + 4) + 100 + (m + 12)(m + 12) - 50
m^2 + 8m + 16 + 100 + m^2 + 24m + 144 - 50
2m^2 + 32m + 210 <==