A Manufacturer of Digital Audio Players Estimates That the Profit $P = - 76 x ^ { 3 } + 4830 x ^ { 3 } - 320,000,00 \leq x \leq 60$

question 53

Multiple Choice

A manufacturer of digital audio players estimates that the profit for selling a particular model is $P = - 76 x ^ { 3 } + 4830 x ^ { 3 } - 320,000,00 \leq x \leq 60$ , where $P$ is the profit in dollars and $x$ is the advertising expense in 10,000 's of dollars (see figure) . Find the smaller of two advertising amounts that yield a profit $P$ of $\$ 2,100,000$ . Round your answer to the nearest dollar. Advertising expense (in 10,000 s of dollars)

• A) \(\$ 460,892\)
• B) \(\$ 315,369\)
• C) \(\$ 363,471\)
• D) \(\$ 512,458\)
• E) \(\$ 384,356\)

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Definitions:

Positive Reinforcer

An incentive that, when applied following an action, heightens the probability of the action being repeated.

Negative Reinforcer

An unpleasant stimulus whose removal leads to an increase in the probability that a preceding response will be repeated in the future.

Immediate Reinforcer

refers to a reward that occurs directly after a behavior, enhancing the likelihood of that behavior occurring again in the future.

Latent Learning

Learning that occurs without immediate reinforcement and is not demonstrated until there is an incentive to perform.