Use Linear Programming to Solve Problems
-Two Kinds of Crated $A$

Use Linear Programming to Solve Problems
-Two kinds of crated cargo, $A$ and $B$ , are to be shipped by truck. The weight and volume of each type are given in the following table:


The shipping company charges $\$ 75$ per crate for cargo $\mathrm { A }$ and $\$ 100$ per crate for cargo $\mathrm { B }$ . The truck has a maximum load limit of 7,200 pounds and 1,000 cubic feet. How many of each type of cargo should be shipped to maximize profit for the shipping company?

A) 18 crates of cargo A and 10 crates of cargo B
B) 20 crates of cargo $\mathrm { A }$ and 0 crates of cargo $\mathrm { B }$
C) 0 crates of cargo $\mathrm { A }$ and 20 crates of cargo $\mathrm { B }$
D) 10 crates of cargo $A$ and 18 crates of cargo $B$