The following wage function represents the relationship between age and wages for a typical employee of a large firm:
Wage= 20 + 25 * age - 0.25 * age^2
a) using the difference quotient, find the change in the wage from where age=30 to where age=40.
b) show the formula for the change in the wage when age=1
c) at what age is the wage the highest?
Difference quotients and maximum value are investigated.