Find the maximum or minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of feasible points.  z = 7x + 8y. Find minimum.

A. minimum: 44
B. minimum: 54
C. minimum: 45
D. no minimum


Answer: A

Mathematics

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Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. +  +  + ... +  + ...

A.
B.
C.
D.

Mathematics

Solve the system of equations using matrices. Use Gaussian elimination with back-substitution. x + y + z - w=6 2x - y + 3z + 4w=-4 4x + 2y - z - w=-13 -x - 2y + 4z + 3w=12

A. {(- , - )}
B. {(4, -3, -5, 2)}
C. {(, - , - )}
D. {(-4, 3, 5, -2)}

Mathematics

Evaluate the expression.C()

A. 1 B. 13 C. 3.1135104e+09 D. 6.2270208e+09

Mathematics

Determine whether the sequence is arithmetic. If so, find the common difference. (Assume that n begins with 1.) ? an ?= 8 + 6n ?

A. -6 B. -8 C. 6 D. 8 E. not arithmetic

Mathematics