$2.$ Radiant requires cargo planes for the transportation of three distinct goods: A$,$ B$,$ and C$.$ They have contacted VIP Transportation Company to arrange the rental. It has been communicated to Radiant that VIP has two types of cargo planes available, with $55$ of each type. Furthermore, VIP has shared weight$-$related information for the two types of planes, WT$88$ and BH$54.$

Goods A Goods B Goods C

WT$88$ Can carry $18\mathrm{.}5$ tons $12$ tons $20$ tons

BH$54$can carry $15$ tons $20$ tons $15\mathrm{.}5$ tons

To transport their cargo, Radiant needs to move $300$ tons of Goods A$,300$ tons of Goods B$,$ and $350$ tons of Goods C$.$ In order to do so$,$ they will require at least two WT$88$ and two BH$54$ planes. The cost for each WT$88$ plane with VIP is $$1600$ and each BH$54$ is $$1250.$

Under the above circumstances, find out the following using Linear Programming:

$($a$)$ What will be the minimum cost to transfer the required goods?

$($b$)$ How many of WT$88$ and BH$54$ Radiant should hire? Use below format on Excel and solver to solve please.