Maximum value of function and decreasing function

Reference no: EM13123083

In recession, congress decided to stimulate the economy by providing funds to hire unemployed workers for gov. projects. Suppose the t months after the stimulus programs have begun, there are N(t) thousand people unemployed, where:

N(t)= -t^3 + 45t^2+408t + 3078

a). What is the max # of unemployed workers?

When does the minimum level of unemployment happen?

b)In order to avoid over-stimulating the economy, a decision was made to terminate the program as soon as the rate of unemployment begins to decline. When does this occur? At this time, how many people are unemployed?

Reference no: EM13123083

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