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 table below. $$\begin{array} { | c | c | c | c | }
\hline \begin{array} { c }
\text { Hours in } \
\text { East } \
\text { Orchard }
\end{array} & \begin{array} { c }
\text { Number of } \
\text { Apples Per } \
\text { Hour }
\end{array} & \begin{array} { c }
\text { Hours in } \
\text { West } \
\text { Orchard }
\end{array} & \begin{array} { c }
\text { Number of } \
\text { Apples Per } \
\text { Hour }
\end{array} \
\hline 1 & 40 & 1 & 10 \
\hline 2 & 32 & 2 & 10 \
\hline 3 & 25 & 3 & 10 \
\hline 4 & 20 & 4 & 10 \
\hline
\end{array}$$ How should Frank divide his time between the east and the west orchard?

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 table below. $$\begin{array} { | c | c | c | c | } 
\hline \begin{array} { c } 
\text { Hours in } \
\text { East } \
\text { Orchard }
\end{array} & \begin{array} { c } 
\text { Number of } \
\text { Apples Per } \
\text { Hour }
\end{array} & \begin{array} { c } 
\text { Hours in } \
\text { West } \
\text { Orchard }
\end{array} & \begin{array} { c } 
\text { Number of } \
\text { Apples Per } \
\text { Hour }
\end{array} \
\hline 1 & 40 & 1 & 10 \
\hline 2 & 32 & 2 & 10 \
\hline 3 & 25 & 3 & 10 \
\hline 4 & 20 & 4 & 10 \
\hline
\end{array}$$ How should Frank divide his time between the east and the west orchard?

Quizplus · Accepted Answer

Let's calculate the total number of apples Frank can pick in each scenario:

A) 4 hours in the east orchard: 4 hours x 40 apples/hour = 160 apples
B) 3 hours in the east orchard and 1 hour in the west orchard: 3 hours x 32 apples/hour + 1 hour x 10 apples/hour = 106 apples
C) 2 hours in the east orchard and 2 hours in the west orchard: 2 hours x 25 apples/hour + 2 hours x 10 apples/hour = 70 apples
D) 1 hour in the east orchard and 3 hours in the west orchard: 1 hour x 40 apples/hour + 3 hours x 10 apples/hour = 70 apples

Therefore, the best option is B because it yields the highest number of apples, which is 106.

Frank Owns an Apple Farm and Plans to Spend 4