Chuck Sox makes wooden boxes in which to ship motorcycles. Chuck and his three employees invest a total of 40 hours per day making the 400 boxes. a) Their productivity \( =10 \) boxes/hour (round your response to two decimal places). Chuck and his employees have discussed redesigning the process to improve efficiency. Suppose they can increase the rate to 500 boxes per day. b) Their new productivity \( =12.50 \) boxes/hour (round your response to two decimal places). c) The unit increase in productivity is \( \square \) boxes/hour (round your response to two decimal places).

To find the unit increase in productivity, we start by calculating the productivity before and after the redesign. Initially, their productivity was \( 10 \) boxes/hour. After redesigning, the new productivity is \( 12.50 \) boxes/hour. Now, to find the unit increase in productivity, we simply subtract the old productivity from the new productivity: \[ \text{Unit Increase in Productivity} = \text{New Productivity} - \text{Old Productivity} = 12.50 - 10 = 2.50 \text{ boxes/hour} \] So, the unit increase in productivity is \( 2.50 \) boxes/hour (rounded to two decimal places).