Introduce slack variables as necessary, and write the initial simplex tableau for the problem.Find x1 ? 0 and x2 ? 0 such that2x1 + 5x2 ? 143x1 + 3x2 ? 18 and z = 4x1 + x2 is maximized. 
A. 
B. 
C. 
D. 
Answer: A
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Use the preference table to answer the question.Four students are running for president of their dormitory: Debra (D), Farah (F), Jorge (J), and 
The votes of their fellow students are summarized in the following preference table.
Who is declared the new president using the Borda count method?
A. Hillary B. Jorge C. Farah D. Debra
Solve the system by substitution or elimination. If a system is inconsistent or has dependent equations, say so.
x + y = 7x - 35 = -5y
A. {(35, 0)}
B. ?; inconsistent system
C. {(5, 6)}
D. {(x, y)
}; dependent equations
Add or subtract, if possible. Assume that all variables represent non-negative values. Simplify your answer. 
+ 
A. 
B. 
C. 
D. 
Solve the problem.There are 14 different books on a table. In how many ways can 7 books be chosen?
A. 3432 B. 17,297,280 C. 3858 D. 2,471,040