To find the unit rate of parts manufactured per hour, we can use the following formula:
\[ \text{Unit Rate} = \frac{\text{Total Parts}}{\text{Total Time (in hours)}} \]
Plugging in the numbers:
\[ \text{Unit Rate} = \frac{1116 \text{ parts}}{7 \text{ hours}} \approx 159.42857 \text{ parts/hour} \]
Now, rounding to the nearest integer gives:
\[ \text{Unit Rate} \approx 159 \text{ parts/hour} \]
Therefore, the answer is:
159 parts/h.