Final answer:
The new production rate after a 42% increase in productivity would be 3266 valves.
Step-by-step explanation:
To find the new production rate after a 42% increase in productivity, we first need to calculate the increase in the number of valves produced in one shift. The increase is calculated by multiplying the current production rate by the percentage increase:
Increase = 2300 valves imes 42% = 2300 imes 0.42 = 966 valves
To find the new production rate, we simply add the increase to the current production rate:
New production rate = Current production rate + Increase = 2300 + 966 = 3266 valves