Customer Order Manager Kenny has recieved a request from a customer on how many units of a certain product he could deliver in week $1.$ In their manufacturing facility, the company works with frozen time periods of six weeks. The production quantity is $10000$ units, the lead time to finish their products is $3$ weeks and they use a safety time of $1$ week. However, the lead time to most of their customers is within a week.

$1.$ How many units can Kenny promise the customer in the first week?

$2.$ What is the forecast for week $7$ using moving average $($n$=6)?$

$3.$ What is the forecast for week $7$ using exponential smoothing $($$=0\mathrm{.}3)?$

Kenny wish to follow up on forecasting, to get a feel for how well the forecasting has worked.

$4.$ What is the Average Forecast Error $($AFE$)$ for the forecast during the six first weeks?

$5.$ What is the Mean Absolute Deviation $($MAD$)$ for the forecast during the six first weeks?

In addition what has already been reserved $($see above$),$ let's assume Kenny receives an order of $2000$ units for delivery in week $7$ and another $2500$ units for delivery in week $8.$ This order is agreed in week $1.$ Kenny runs some forecast tests and estimates $3600$ units for week $7.$ According to the table above, production is planned for week $1$ and week $4.$

$6.$ After week $4,$ in what week must production be available in order to meet the demand?

$7.$ In reference to question $2$f above, what should the planned production be$?$

$8.$ In reference to questions $2$f$-$g$,$ what is the PAB for week $7?$

$9.$ In reference to questions $2$f$-$g$,$ what is the PAB for week $8?$