Alright, let's complete the production possibility schedule for Raj's Bakery:
If Raj spends 0 hours on making bagels, he could make [tex]\(0 \, \text{bagels}\)[/tex] and all his time would be dedicated to making [tex]\(300 \, \text{doughnuts}\)[/tex].
Now, let's determine the number of bagels made in 1 hour (A), the number of doughnuts made in 3 hours (B), and the number of bagels made in 3 hours (C).
### Step-by-Step Solution:
1. Calculating (A):
- Given: In one hour, Raj can make either 60 doughnuts or 30 bagels.
- Since Raj spends 1 hour making bagels, he can make [tex]\(30 \, \text{bagels}\)[/tex] in that 1 hour.
So, (A) = 30.
2. Calculating (B):
- Given: In one hour, Raj can make 60 doughnuts.
- If Raj spends 3 hours making doughnuts, he can make [tex]\(60 \, \text{doughnuts/hour} \times 3 \, \text{hours} = 180 \, \text{doughnuts}\)[/tex].
So, (B) = 180.
3. Calculating (C):
- Given: In one hour, Raj can make either 60 doughnuts or 30 bagels.
- If Raj spends 3 hours making bagels, he can make [tex]\(30 \, \text{bagels/hour} \times 3 \, \text{hours} = 90 \, \text{bagels}\)[/tex].
So, (C) = 90.
Now, we can complete the production possibility schedule accordingly:
[tex]\[
\begin{array}{|c|c|c|}
\hline
\begin{array}{c}
\text{Hours} \\
\text{spent on} \\
\text{bagels}
\end{array} & \begin{array}{c}
\text{Number of} \\
\text{doughnuts} \\
\text{made}
\end{array} & \begin{array}{c}
\text{Number of} \\
\text{bagels} \\
\text{made}
\end{array} \\
\hline
0 & 300 & 0 \\
\hline
1 & 240 & 30 \\
\hline
3 & 180 & 90 \\
\hline
\end{array}
\][/tex]
This table shows Raj's production options whether he is focusing on making bagels or doughnuts for the given hours.
