The Number of People Who Donated to a Certain Organization $D ( t ) = - 10.82 t ^ { 3 } + 209.508 t ^ { 2 } - 167.402 t + 9774.134$

question 70

Multiple Choice

The number of people who donated to a certain organization between 1975 and 1992 can be modeled by the equation $D ( t ) = - 10.82 t ^ { 3 } + 209.508 t ^ { 2 } - 167.402 t + 9774.134$ donors, where t is the number of years after 1975. Find the inflection point(s) from $t = 0$ through $t = 17$ , if any exist.

• A)There are no inflection points from \(t = 0\) through \(t = 17\) .
• B)There is one inflection point at \(t = 6.45\) .
• C)There are inflection points at \(t = 0\) and \(t = 17\) .
• D)There is one inflection point at \(t = 0.15\) .
• E)There are inflection points at \(t = 0\) , \(t = 0.15\) , and \(t = 17\) .

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Definitions:

Producer Surplus

The difference between the amount a producer is willing to accept for a good compared to what they actually receive, generally representing the benefit to producers from participating in the market.

Tariff Revenue

Revenue generated by a government from imposing taxes on imported goods.

Consumer Surplus

The variance between what consumers are prepared and capable of paying for a product or service and the actual amount they pay.

Deadweight Loss

The decrease in economic effectiveness that happens when there's a failure to achieve or an inability to achieve equilibrium for a particular good or service.