Solution: Given $ c(n) = n^2 - 3n + 2m $ and $ c(4) = 14 $, substitute $ n = 4 $:

Tue, 21 Apr 2026 06:49:28 +0000

Optimizing the Function $ c(n) = n^2 - 3n + 2m $: Solve for $ m $ Using $ c(4) = 14 $ In mathematical modeling and optimization, identifying unknown constants from known values is a common challenge. One such problem arises when given a quadratic function of the form: $$
c(n) = n^2 - 3n + 2m
$$
and provided a specific output value at a certain input: $ c(4) = 14 $. This scenario calls for substituting the known value into the function to solve for the unknown parameter $ m $. ### Step-by-Step Substitution