Frank owns an apple farm and plans to spend 4 hours today picking apples. The number of apples he can pick per hour depends on the total number of hours he spends working in either the east orchard or the west orchard in the manner shown in the accompanying table below. $$\begin{array} { | c | c | c | c | }
\hline \begin{array} { c }
\text { Muurs in East } \
\text { Orchard }
\end{array} & \begin{array} { c }
\text { Number af Apples } \
\text { Per Hour }
\end{array} & \begin{array} { c }
\text { Hours in West } \
\text { Orchard }
\end{array} & \begin{array} { c }
\text { Number d Apples } \
\text { Per Hour }
\end{array} \
\hline 1 & 40 & 1 & 10 \
\hline 2 & 32 & 2 & 10 \
\hline 3 & 25 & 3 & 10 \
\hline 4 & 20 & 4 & 10 \
\hline
\end{array}$$
How should Frank divide his time between the east and the west orchard?
A)He should spend all 4 hours in the east orchard.
B)He should spend 3 hours in the east orchard and 1 hour in the west orchard.
C)He should spend 2 hours in east orchard and 2 hours in the west orchard.
D)He should spend 1 hour in the east orchard and 3 hours in the west orchard.

Question

Frank owns an apple farm and plans to spend 4 hours today picking apples. The number of apples he can pick per hour depends on the total number of hours he spends working in either the east orchard or the west orchard in the manner shown in the accompanying table below. $$\begin{array} { | c | c | c | c | } 
\hline \begin{array} { c } 
\text { Muurs in East } \
\text { Orchard }
\end{array} & \begin{array} { c } 
\text { Number af Apples } \
\text { Per Hour }
\end{array} & \begin{array} { c } 
\text { Hours in West } \
\text { Orchard }
\end{array} & \begin{array} { c } 
\text { Number d Apples } \
\text { Per Hour }
\end{array} \
\hline 1 & 40 & 1 & 10 \
\hline 2 & 32 & 2 & 10 \
\hline 3 & 25 & 3 & 10 \
\hline 4 & 20 & 4 & 10 \
\hline
\end{array}$$  
How should Frank divide his time between the east and the west orchard?
A)He should spend all 4 hours in the east orchard.
B)He should spend 3 hours in the east orchard and 1 hour in the west orchard.
C)He should spend 2 hours in east orchard and 2 hours in the west orchard.
D)He should spend 1 hour in the east orchard and 3 hours in the west orchard.

Quizplus · Accepted Answer

To maximize the number of apples picked, Frank should aim to work in the areas with the highest productivity per hour. By spending 3 hours in the east orchard, he can pick 25 apples per hour for a total of 75 apples, and by spending 1 hour in the west orchard, he can pick an additional 10 apples, totaling 85 apples. This combination offers the highest yield compared to the other options provided.

Frank Owns an Apple Farm and Plans to Spend 4