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Problem $11-2($Algo$)$

Suppose you have three shipments to make. One shipment has a weight of $2,900$ pounds, the second weighs $7,600$ pounds, and the third weighs $11,400$ pounds. The transportation rates are: $$21/$cwt $(1$ cwt$.=100$ pounds$).$ for shipments of $1,0005,000$ pounds, $$19/$cwt$.$ for $5,00010,000$ pounds, and $$17/$cwt$.$ for shipments over $10,000$ pounds. For consolidated shipments, there is a charge of $$190$ per stop.

a$.$ Calculate the three individual shipments and consolidated shipments.

b$.$ What will be the cost difference if you choose to consolidate the shipments rather than to ship each one individually?