$1\mathrm{.}1$ Chuck Sox makes wooden boxes in which to shipmotorcycles. Chuck and his three employees invest a total of$40$ hours per day making the $120$ boxes.a$)$ What is their productivity?b$)$ Chuck and his employees have discussed redesigning the pro$-$cess to improve efficiency. If they can increase the rate to $125$per day, what will be their new productivity?c$)$ What will be their unit increase in productivity per hour?d$)$ What will be their percentage change in productivity? P X $1\mathrm{.}2$ Carbondale Casting produces cast bronze valves ona $10-$person assembly line. On a recent day, $160$ valves were pro$-$duced during an $8-$hour shift.a$)$ Calculate the labor productivity of the line.b$)$ John Goodale, the manager at Carbondale, changed the layoutand was able to increase production to $180$ units per $8-$hourshift. What is the new labor productivity per labor$-$hour?c$)$ What is the percentage of productivity increase? P X