A local charity has decided to solicit donations door-to-door.The table below shows estimated donations for each hour a volunteer spends in the city,in the suburbs,and on campus. $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $$\text { Total Donations fiom: }$
$\begin{array}{l}
\begin{array}{ccc}
\text { Number of Hours }&\text { The city } & \text { The suburbs } & \text { Campus } \
1& \$ 75 & \$ 65 & \$ 45 \
2&147 & 127 & 87 \
3&215 & 185 & 125 \
4&279 & 239 & 159 \
5&337 & 289 & 189 \
6&380 & 333 & 209
\end{array}
\end{array}$
Given the above information,how should a volunteer allocate 10 hours in order to maximize the amount of total donations?
A)3 hours in the city,4 hours in the suburbs,3 hours on campus
B)4 hours in the city,3 hours in the suburbs,3 hours on campus
C)5 hours in the city,4 hours in the suburbs,1 hours on campus
D)6 hours in the city,4 hours in the suburbs,0 hours on campus

Question

A local charity has decided to solicit donations door-to-door.The table below shows estimated donations for each hour a volunteer spends in the city,in the suburbs,and on campus.  $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $$\text { Total Donations fiom: }$
$\begin{array}{l}
\begin{array}{ccc}
\text { Number of Hours }&\text { The city } & \text { The suburbs } & \text { Campus } \
1& \$ 75 & \$ 65 & \$ 45 \
2&147 & 127 & 87 \
3&215 & 185 & 125 \
4&279 & 239 & 159 \
5&337 & 289 & 189 \
6&380 & 333 & 209
\end{array}
\end{array}$
 Given the above information,how should a volunteer allocate 10 hours in order to maximize the amount of total donations?
A)3 hours in the city,4 hours in the suburbs,3 hours on campus
B)4 hours in the city,3 hours in the suburbs,3 hours on campus
C)5 hours in the city,4 hours in the suburbs,1 hours on campus
D)6 hours in the city,4 hours in the suburbs,0 hours on campus

Quizplus · Accepted Answer

To maximize donations, we should allocate more hours to areas with higher donation rates. Comparing the donation rates for the last hour in each location: city = $43 ($380 - $337), suburbs = $44 ($333 - $289), campus = $20 ($209 - $189). The suburbs have the highest rate for the last hour, but the city has higher cumulative donations for the first 6 hours. Allocating 6 hours to the city and 4 to the suburbs maximizes total donations, making option D the best choice.

A Local Charity Has Decided to Solicit Donations Door-To-Door \quad

A Local Charity Has Decided to Solicit Donations Door-To-Door $\quad$