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A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of cargo A is 5 cubic
A truck traveling from New York to Baltimore is to be loaded with two types of cargo. Each crate of cargo A is 5 cubic feet in volume, weighs 100 pounds, and earns $12 for the driver. Each crate of cargo B is 3 cubic feet in volume, weighs 250 pounds, and earns $7 for the driver. The truck can carry no more than 300 cubic feet of crates and no more than 10,000 pounds. Also, the number of crates of cargo B must be less than or equal to twice the number of crates of cargo A. (a) Fill in the chart. B Truck capacity 300 cubic feet Volume A 5 cubic feet 100 pounds 3 cubic feet Weight 250 pounds 10000 pounds Earnings S 12 $ 7 (b) Let x be the number of crates of cargo A and y the number of crates of cargo B. Referring to the chart, give the two inequalities that x and y must satisfy because of the truck's capacity for volume and weight. $300 s 10,000
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