Question $4.$

a$.$ Moore $\backslash$& Moore company makes communication devices for military contracts. The company has just completed two contracts. The navy contract was for $2000$ devices and took $10$ workers $2$ weeks $(40$ hours per week$)$ to complete. The army contract was for $5000$ devices that were produced by $25$ workers in $3$ weeks $(40$ hours per week$).$ On which contract are the workers more productive? How much more productive?

b$.$ Professor Very Busy needs to allocate time next week to include time for office hours. He needs to forecast the number of students who will seek appointments. He has gathered the following data:

What is this week's forecast using exponential smoothing with alpha $\backslash (=\mathrm{.}2\backslash ),$ if the forecast for two weeks ago was $90?$