what varibales (how many of them) do i need to define for this problem to write a linear program that optimizes revenue with this constraints: we have a ship that can carry a maximum weight of 100 tons of cargo and a maximum volume of 60 cubicmeters. we have three materials to be transported, and we may carry any amount of each, up to the maximum available limits given below. ·Material 1 has density 2 tons/cubic meter, maximum available amount 40 cubic meters, and revenue $1,000 per cubic meter. ·Material 2 has density 1 ton/cubic meter, maximum available amount 30 cubic meters, and revenue $1,200 per cubic meter. ·Material 3 has density 3 tons/cubic meter, maximum available amount 20 cubic meters, and revenue $12,000 per cubic meter
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