14 When a machine is t years old, it earns revenue at a rate of et dollars...

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14 When a machine is t years old, it earns revenue at a rate of et dollars per year. After t years of use, the machine can be sold for 

t 1

1 

dollars.

a When should the machine be sold to maximize total revenue?

b If revenue is discounted continuously (so that $1 of revenue received t years from now is equivalent to ert dollars of revenue received now, how would the answer in part

(a) change?

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