Solve the problem.Two kinds of crated cargo, A and B, are to be shipped by truck. Each crate of cargo A is 50 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. 
(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. 
What will be an ideal response?
(a)
| (b) |  |
(d) [charges] = 75x + 100y
(e)
Mathematics
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