Write a matrix equation that is equivalent to the given system of linear equations and solve the system using the inverse matrix.
x1 + x2 – x3 + x4 = –1
2x1 + x2 + x3 = –1
2x1 + x2 + x4 = –2
–6x1 – x2 – x3 – 3x4 = 8
a. x1 = –2, x2 = 1, x3 = 2, x4 = –4
b. x1 = –4, x2 = 0, x3 = 0, x4 = 1
c. x1 = –1, x2 = 1, x3 = 0, x4 = –1
d. x1 = –1, x2 = 3, x3 = –3, x4 = –2
e. The system is inconsistent.
c. x1 = –1, x2 = 1, x3 = 0, x4 = –1
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Refer to the weighted voting system 
and the Banzhaf definition of power. (The four players are P1, P2, P3 and P4.)Which players are critical in the coalition {P1, P3, P4}?
A. P1 and P3 only B. All three players C. None of the players D. P1 only E. none of these
A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows: 
What is the maximum profit in this model?
A. $225,000 B. $75,000 C. $95,000 D. $57,000
Solve the problem.A lumber yard has fixed costs of $2228.70 per day and variable costs of $0.54 per board-foot produced. Lumber sells for $2.24 per board-foot. How many board-feet must be produced and sold daily to break even?
A. 801 board-feet B. 874 board-feet C. 4127 board-feet D. 1311 board-feet
Solve the absolute value inequality. Other than ?, use interval notation to express the solution set and graph the solution set on a number line.
< 4
A. (-4, 4)
B. (-?, -4) ? (4, ?)
C. (-?, -4] ? [4, ?)
D. [-4, 4]