Bruce has midterm exams tomorrow in economics and chemistry. He only has four hours left to study tonight. The accompanying table provides the combinations of time spent studying economics and chemistry and his expected exam scores.
$$\begin{array} { | c | c | c | c | }
\hline \begin{array} { c }
\text { Hours spent } \
\text { studying } \
\text { economics }
\end{array} & \begin{array} { c }
\text { Economics } \
\text { exam score }
\end{array} & \begin{array} { c }
\text { Hours spent } \
\text { studying } \
\text { chemistry }
\end{array} & \begin{array} { c }
\text { Chemistry } \
\text { exam score }
\end{array} \
\hline 0 & 55 & 0 & 70 \
\hline 1 & 75 & 1 & 80 \
\hline 2 & 85 & 2 & 88 \
\hline 3 & 90 & 3 & 94 \
\hline 4 & 94 & 4 & 98 \
\hline
\end{array}$$ Suppose that Bruce spends the first three hours studying economics. What is the opportunity cost of spending a fourth hour? If Bruce's goal is to maximize his combined scores, how many hours should he spend studying economics, and how many hours should he spend studying astronomy?

Question

Bruce has midterm exams tomorrow in economics and chemistry. He only has four hours left to study tonight. The accompanying table provides the combinations of time spent studying economics and chemistry and his expected exam scores.
 $$\begin{array} { | c | c | c | c | } 
\hline \begin{array} { c } 
\text { Hours spent } \
\text { studying } \
\text { economics }
\end{array} & \begin{array} { c } 
\text { Economics } \
\text { exam score }
\end{array} & \begin{array} { c } 
\text { Hours spent } \
\text { studying } \
\text { chemistry }
\end{array} & \begin{array} { c } 
\text { Chemistry } \
\text { exam score }
\end{array} \
\hline 0 & 55 & 0 & 70 \
\hline 1 & 75 & 1 & 80 \
\hline 2 & 85 & 2 & 88 \
\hline 3 & 90 & 3 & 94 \
\hline 4 & 94 & 4 & 98 \
\hline
\end{array}$$ Suppose that Bruce spends the first three hours studying economics. What is the opportunity cost of spending a fourth hour? If Bruce's goal is to maximize his combined scores, how many hours should he spend studying economics, and how many hours should he spend studying astronomy?

Quizplus · Accepted Answer

The Answer of Bruce has midterm exams tomorrow in economics and chemistry. He only has four hours left to study tonight. The accompanying table provides the combinations of time spent studying economics and chemistry and his expected exam scores.
 $$\begin{array} { | c | c | c | c | } 
\hline \begin{array} { c } 
\text { Hours spent } \
\text { studying } \
\text { economics }
\end{array} & \begin{array} { c } 
\text { Economics } \
\text { exam score }
\end{array} & \begin{array} { c } 
\text { Hours spent } \
\text { studying } \
\text { chemistry }
\end{array} & \begin{array} { c } 
\text { Chemistry } \
\text { exam score }
\end{array} \
\hline 0 & 55 & 0 & 70 \
\hline 1 & 75 & 1 & 80 \
\hline 2 & 85 & 2 & 88 \
\hline 3 & 90 & 3 & 94 \
\hline 4 & 94 & 4 & 98 \
\hline
\end{array}$$ Suppose that Bruce spends the first three hours studying economics. What is the opportunity cost of spending a fourth hour? If Bruce's goal is to maximize his combined scores, how many hours should he spend studying economics, and how many hours should he spend studying astronomy?

Bruce Has Midterm Exams Tomorrow in Economics and Chemistry Suppose That Bruce Spends the First Three Hours Studying Economics