Problem $11-8($Algo$)$

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. For example, it would take three days and cost $$7\mathrm{.}40$ to send a $10-$pound package to zone $3$ using ground service.

Ground Service Weight $q,$ Domestic Zones Transit Time $($in Days$)($in pounds$)$

pound

$\backslash$table$[[1,2],[$$$4\mathrm{.}75,$$$4\mathrm{.}90$