Inquiry $1$: The Plant Manager $($PM$)$ comes to your office and shuts your office door. The plant manager says "I have been out of college for some time, now. Since you graduated more recently than me $($the PMI chuckles$),$ I hope you can help me understand how corporate headquarters determined we need to order $713$ pounds of coffee for our Mount Olive location" $[$the PM hands you a piece of paper with the information and figures on it $($below$).$ Note, too, that the PM has included some very important notes about MS Excel $($below$)].$ The PM continues: "Please show all your work so I can make sure you have not missed anything $($the PNI chuckles$)!$ Here is all the information I have from corporate headquarters and some notes that I have included from $my$ college days? $??$

Piece of paper with information, figures, and important notes $($continued on next page$)--$

Noonbux orders all its coffee to be shipped directly from South America. A US$-$based distributor stops by every four weeks to take orders for the Mount Olive location. Because the orders are shipped directly from South America, they take three weeks to arrive.

Moonbux Mlount Olive location uses an average of $150$ pounds of coffee each week, with a standard deriation of $30$ pounds. Moonbux prides itself on offering only the best$-$quality ingredients with a high level of service, so it wants to ensure a $98\mathrm{.}0\%$ probability of not stocking out on coffee.

Assume that the sales representative just walked in the door and there are currently $500$ pounds of coffee in the temperature and humidity$-$controlled storage area. How many pounds of coffee would you order?