Suppose you have three shipments to make. One shipment has a weight of $3,000$ pounds, the

second weighs $7,700$ pounds, and the third weighs $11,500$ pounds. The transportation rates

are: $$18/$cwt $(1$ cwt$.=100$ pounds$).$ for shipments of $1,0005,000$ pounds, $$16/$cwt$.$ for

$5,00010,000$ pounds, and $$14/$cwt$.$ for shipments over $10,000$ pounds. For consolidated

shipments, there is a charge of $$200$ per stop.

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

Individual Shipments

Consolidated Shipments:

b$)$ What will be the cost difference if you choose to consolidate the shipments rather than to

ship each one individually?