Explore BrainMass
Share

Explore BrainMass

    Mathematical Method for Economics

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    1. The per period sales of a new product, x(t), evolves over time according to

    x(t):= A / (1 + b * e - c t ) where A, b and c are positive constants.

    a) By taking the limit of x(t) as t tends to infinity, show that per period sales tends to A as t increases.
    b) Show that the rate of growth of sales is proportional to the difference between A and x(t).
    c) Show that the maximum rate of change occurs when x(t) := A / 2
    d) Find the value of t, as a function of the constants b and c, at which this maximum change occurs.

    © BrainMass Inc. brainmass.com May 20, 2020, 3:04 pm ad1c9bdddf
    https://brainmass.com/math/finite-element-method/mathematical-method-for-economics-113098

    Attachments

    $2.19

    ADVERTISEMENT