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 5 cubic feet Volume 3 cubic feet Truck capacity 300 cubic feet 10000 pounds Weight 100 pounds 250 pounds Earnings $ 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. 5x + 3y s 300 100x + 250y s 10,000 (c) Give the inequalities that x and y must satisfy because of the last sentence of the problem and also because x and y cannot be negative. ys y2