Corner Points needed for graph

1) Two kinds of crated cargo, A and B, are to be shipped by truck. Each crate of cargo A is 50 1) cubic feet in volume and weighs 200 pounds, whereas each crate of cargo B is 10 cubic feet volume and weighs 360 pounds. The shipping company charges $75 per crate for cargo A and $100 per crate for cargo B. The truck has a maximum load limit of 7,200 pounds and 1,000 cubic feet. (a) Fill in the chart below. A B Truck Load Limit Volume Weight Charge (b) Let x be the number of crates of cargo A and y the number of crates of cargo B shipped by one truck. Using the chart in (a), give two inequalities that x and y must satisfy because of the truck's load limits. (c) Give the inequalities that x and y must satisfy because they cannot be negative. (d) Give an expression for the total charges from shipping x crates of cargo A and y crates of cargo B. (e) Graph the feasible set of this problem. + + +