A local university is considering changes to its class structure in an effort to increase professor productivity. The old schedule had each professor teaching $5$ classes per week, with each class meeting an hour per day on Monday, Wednesday, and Friday. Each class contained $20$ students. The new schedule has each professor teaching only $3$ classes, but each class meets daily $($Mon$.-$Fri.$)$ for an hour. New classes contain $50$ students.

a$.$ Calculate the labor productivity for the initial situation $($students$/$hour$).\frac{20}{15}=1\mathrm{.}33$

b$.$ Calculate the labor productivity for the schedule change $($students$/$hour$).\frac{50}{15}=3\mathrm{.}33$

d$.$ Suppose that each teacher also is required to have $2$ hours of Office Hours each day he$/$she taught class. Is the schedule change a productivity increase?

A process produces $5000$ units of output that yield $$6$ per unit. Resources contributed to this output are $200$ hours of labor at $$15$ per hour, materials at $$700$ and overhead at $$300.$ What is the labor productivity?

a$.20$ units per hour

b$.25$ units per hour

c$.30$ units per hour

d$.40$ units per hour

It takes the Blacksburg shipyard twenty six weeks with $500$ workers to build a small tanker$.$ Material costs are $$32$ million and overhead costs are $$2$ million. Workers cost $$40$ per hour including benefits and work $40$ hours per week. The ship sells for $$75$ million. What is the multifactor productivity ratio?

a$.$ Less than $1\mathrm{.}0$

b$.$ Greater than $1\mathrm{.}0$ but less than or equal to $2\mathrm{.}0$

c$.$ Greater than $2\mathrm{.}0$ but less than or equal to $3\mathrm{.}0$

d$.$ Greater than $3\mathrm{.}0$

The Burdell Company makes tee shirts on an assembly line that works $5$ days per week and uses $5$ workers. Over the past $4$ weeks, the line has produced $16,000$ shirts. The line's productivity for the $4-$week period is

a$.20$ shirts per worker per day.

b$.50$ shirts per worker per day.

c$.160$ shirts per worker per day.

d$.400$ shirts per worker per day.

The Dulac Box plant produces wooden packing boxes to be used in the local seafood industry. Current operations allow the company to make $500$ boxes per day, in two $8-$hour shifts $(250$ boxes per shift$).$ The company has introduced some moderate changes in equipment, and conducted appropriate job training, so that production levels have risen to $300$ boxes per shift. Labor costs average $$10$ per hour for each of the $5$ full$-$time workers on each shift. Capital costs were previously $$3,000$ per day, and rose to $$3,200$ per day with the equipment modifications. Energy costs were unchanged by the modifications, at $$400$ per day. What is the firm's multifactor productivity before and after the changes?

Consider the network presented in the following table. Calculate

All possible paths

The critical path