The Sales of a Mature Product (One Which Has Passed $\mathrm { S } ( \mathrm { t } ) = \mathrm { S } _ { 0 } \mathrm { e } ^ { - \mathrm { at } }$

question 432

Multiple Choice

The sales of a mature product (one which has passed its peak) will decline according to the function $\mathrm { S } ( \mathrm { t } ) = \mathrm { S } _ { 0 } \mathrm { e } ^ { - \mathrm { at } }$ , where $\mathrm { t }$ is time in years since the peak sales. Find the sales of a product 17 years after its peak sales if $\mathrm { a } = 0.24$ and $\mathrm { S } _ { 0 } = 50,900$ .

• A) 3,827,101 units
• B) 431 units
• C) 64,707 units
• D) 861 units

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Definitions:

Agonist

A chemical or drug that binds to receptors in the brain and causes a reaction or response similar to a naturally occurring substance.

Antagonist

A molecule that binds to a receptor but does not activate it, thereby blocking action of agonist molecules or inhibiting the function of an enzyme.

Curare

A plant extract used by South American indigenous peoples on arrows and darts for hunting, which acts as a muscle relaxant by blocking neurotransmission.

Physostigmine

Physostigmine is a reversible cholinesterase inhibitor used medically to increase acetylcholine levels in the treatment of certain disorders, such as glaucoma and myasthenia gravis.