$10.$ The following represents a project that should be scheduled using CPM:

a$.$ Draw the network.

b$.$ What is the critical path?

c$.$ What is the expected project completion time?

d$.$ What is the probability of completing this project within $16$ days?

CHAPTER $18.$ FORECASTING

$1.$ The following table contains the number of complaints received in a department store for the first six months of operation.

a$.$ Use three$-$month moving average and three$-$month weighted moving average $($weight the most recent month $05,$ the second recent month $0\mathrm{.}25$ and the third $0\mathrm{.}25)$ to develop forecast.

b$.$ Calculate MAD for both methods and conclude which one is better and why.

$2.$ The following table contains the demand from the last $10$ months

a$.$ Calculate the single exponential smoothing forecast for these data using an $\backslash (\backslash$alpha $0\mathrm{.}30\backslash )$ and an initial forecast $\backslash (\backslash$left$($F$\_\{1\}\backslash$right$)\backslash )$ of $31.$

b$.$ Calculate the exponential smoothing with trend forecast for these data using an $\backslash (\backslash$alpha $\backslash )$ of $0\mathrm{.}30,$ a $\backslash (\backslash$delta $\backslash )$ of $0\mathrm{.}30,$ an initial trend forecast $(\backslash ($ T$\_\{1\}\backslash ))$ of $1,$ and an initial exponentially smoothed forecast $(\backslash ($ F$\_\{1\}\backslash ))$ of $30.$

c$.$ Calculate the mean absolute deviation $($MAD$)$ for each forecast. Which is best?

Chapter $2$ Strategy

$15.$ A U$.$S$.$ manufacturing company operating a subsidiary in an LDC $($less$-$developed country$)$ shows the following results:

$16.$ Various financial data for the past two years follow. Calculate the total productivity measure and the partial measures for labor, capital, and raw materials for this company for both years. What do these measures tell you about this company?

CHAPTER $4$ PROJECT MANAGEMENT

$8.$ Schedule the following activities using CPM: