Use slack variables to convert the constraints into linear equations.Maximizex + 2y + 3zsubject to:x + 4y + 8z ? 40 7x + y + 4z ? 50with:x ? 0, y ? 0, z ? 0
A. x + 4y + 8z = u - 40
7x + y +4z = v - 50
-x - 2y - 3z + M = 0
Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0, v ? 0
B. x + 4y + 8z = u + 40
7x + y +4z = v + 50
-x - 2y - 3z = M
Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0, v ? 0
C. x + 4y + 8z + u = 40
7x + y + 4z + v = 50
-x - 2y - 3z + M = 0
Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0, v ? 0
D. x + 4y + 8z + u = 40
7x + y + 4z + v = 50
x + 2y + 3z + M = 0
Maximize M given that x ? 0, y ? 0, z ? 0, u ? 0, v ? 0
Answer: C
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Add.-15 + 63
A. -78 B. 48 C. 78 D. -48
Perform the indicated operations and simplify the expression.
?
What will be an ideal response?
Evaluate using the correct order of operation.
× 
× 8
A. 
B. 2
C. 1
D. 
Solve.An express and local train leave Grays Lake at 3 P.M. and head for Chicago 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.
A. Express's rate = 50 mph and local's rate = 25 mph. B. Express's rate = 25 mph and local's rate = 12.5 mph. C. Express's rate = 60 mph and local's rate = 30 mph. D. Cannot be determined with information given.