Use the simplex method to solve the linear programming problem.Maximizez = x1 + 3x2 + x3 + 2x4subject to:2x1 + x2 + 5x3 + 6x4 ? 25 5x1 + 3x2 + 4x3 + x4 ? 60withx1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0
A. Maximum is 50 when x1 = 0, x2 = 0, x3 = 0, x4 = 25
B. Maximum is 36 when x1 = 0, x2 = 10, x3 = 0, x4 = 3
C. Maximum is 60 when x1 = 0, x2 = 20, x3 = 0, x4 = 0
D. Maximum is 75 when x1 = 0, x2 = 25, x3 = 0, x4 = 0
Answer: C
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Which of the following has the greater payout and why? I. A 40% probability of winning $9,000 and a 60% probability of no payout. II. An 75% probability of winning $2,000 and a 25% probability of no payout. ?
A. ?I. has the higher payout. The expected value is $3,600. B. ?II. has the higher payout. The expected value is $1,500. C. ?I. has the higher payout. The expected value is $5,400. D. ?II. has the higher payout. The expected value is $500. E. ?Both have the same payout.
For each set described, write the set in roster form.{x|x is a counting number multiple of 2}
A. ? B. {4, 6, 8, . . .} C. {0, 2, 4, 6,. . .} D. {2, 4, 6, . . .}
Graph the circle.x2 + y2 - 2x - 4y - 4 = 0
A. 
B. 
C. 
D. 
Find the limit.
A. 13
B. 19
C. 0
D. 