A plane delivers two types of cargo between two destinations. Each crate of cargo I is 5 cubic feet in volume and 46 pounds in weight, and earns $30 in revenue. Each crate of cargo II is 5 cubic feet in volume and 92 pounds in weight, and earns $40 in revenue. The plane has available at most 450 cubic feet and 5,152 pounds for the crates. Finally, at least twice the number of crates of I as II must be shipped. Find the number of crates of each cargo to ship in order to maximize revenue. Find the maximum revenue.
crates of cargo I | ||
crates of cargo II | ||
maximum revenue | $ |
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