$1.$ Productivity $(5$ points$)$

a$.$ A factory produces $500$ units of a product in an $8-$hour shift with $10$ workers. What is

the labor productivity of the factory in units per worker$-$hour?

b$.$ A company that processes fruits and vegetables is able to produce $400$ cases of

canned peaches in one$-$half hour with four works. What is labor productivity?

c$.$ A wrapping paper company produced $2,000$ rolls of paper in one day. Labor cost was

$$160,$ material cost was $$50,$ and overhead was $$320.$ Determine the multifactor

productivity.

d$.$ Compute the multifactor productivity measure for an eight$-$hour day in which the

usable output was $300$ units, produced by three workers who used $600$ pounds of

materials. Workers have an hourly wage of $$20,$ and the material cost is $$1$ per pound.

Overhead is $1\mathrm{.}5$ times the labor cost.

e$.$ A company uses $200$ hours of labor, $50$ machine hours, and $$1,000$ worth of materials

to produce $1,000$ units of output. Calculate the multi$-$factor productivity if labor costs

$$20$ per hour, machine costs $$15$ per hour, and materials cost $$1$ per unit.