The table below provides shipping rates for packages using UPS next day air or ground service options. The rates vary according to both the weight of the package and the distance of the shipment $($larger numbered zones are farther away$).$ Note that the zone number also indicates the number of days required to deliver a package using ground service. A transportation manager must ship orders of materials weighing three pounds each to destinations in each of the seven zones listed in the table. The daily inventory holding rate is $$7\mathrm{.}50$ per day for all orders. The manager has decided to use next day air service for all shipments. how high would inventory be