Question

Due to uncertainty in the markets, the value of a certain
investment behaved erratically. It

was determined that its balance (in thousands of dollars) at time t
months since the beginning

of 2020 was given by the function:

B(t) = e^{4-t} + t + 13

(a) Find the intervals of increase and decrease of this balance
function and determine its

relative extrema (i.e. relative maxima and minima).

(b) Explain in your own words why each of the relative extrema
obtained above are actually

absolute extrema.

(c) Find the greatest and least values of the investment between
January 1 and May 31, 2020.

(d) Determine the intervals of upward and downward concavity of the
balance function and

interpret your findings in practical terms.

Answer #1

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