Certainly! Let's complete the production possibility schedule for Raj's Bakery step by step based on the given conditions:
1. At 0 Hours Spent on Bagels:
- Number of Doughnuts Made: 300 (since Raj spends all his time making doughnuts)
- Number of Bagels Made: 0 (since no time is spent making bagels)
2. At 1 Hour Spent on Bagels:
- Number of Doughnuts Made: Since Raj can make 60 doughnuts in one hour, spending 1 hour making bagels means he has one less hour for doughnuts. Thus, he makes [tex]\( 300 - 60 \times 1 = 240 \)[/tex] doughnuts.
- Number of Bagels Made: Raj can make 30 bagels in one hour. So, for 1 hour spent on bagels, he makes 30 bagels.
3. At 3 Hours Spent on Bagels:
- Number of Doughnuts Made: For each hour spent on bagels, 60 doughnuts are not made. Thus, if he spends 3 hours on bagels, he makes [tex]\( 300 - 60 \times 3 = 120 \)[/tex] doughnuts.
- Number of Bagels Made: Raj can make 30 bagels in one hour, so for 3 hours spent on bagels, he makes [tex]\( 30 \times 3 = 90 \)[/tex] bagels.
Using the values provided:
- A (Number of Bagels Made in 1 hour): 30
- B (Number of Doughnuts Made when 3 hours are spent on bagels): 120
- C (Number of Bagels Made in 3 hours): 90
Here is the completed schedule:
[tex]\[
\begin{tabular}{|c|c|c|}
\hline
\begin{tabular}{c}
Hours \\
spent on \\
bagels
\end{tabular} & \begin{tabular}{c}
Number of \\
doughnuts \\
made
\end{tabular} & \begin{tabular}{c}
Number of \\
bagels \\
made
\end{tabular} \\
\hline
0 & 300 & 0 \\
\hline
1 & 240 & 30 \\
\hline
3 & 120 & 90 \\
\hline
\end{tabular}
\][/tex]
