Use a Graphing Calculator and the Method of Matrix Inverses $10 \mathrm {~A} ; 103 \mathrm {~B} ; 20 \mathrm { C }$

Multiple Choice

Use a graphing calculator and the method of matrix inverses to Give five decimal places, if necessary.
-A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. The company used 100 black, 110 white and 90 red wires. How many of each type of cable were made?

A) $10 \mathrm {~A} ; 103 \mathrm {~B} ; 20 \mathrm { C }$
B) $20 \mathrm {~A} ; 30 \mathrm {~B} ; 10 \mathrm { C }$
C) $10 \mathrm {~A} ; 30 \mathrm {~B} ; 20 \mathrm { C }$
D) $10 \mathrm {~A} ; 30 \mathrm {~B} ; 93 \mathrm { C }$