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 constraint for the assembling department?
A. 2A + 3B + 2C ? 30,000
B. 1A + 2B + 3C ? 30,000
C. 2A + 3B + 2C ? 28,000
D. 2A + 3B + 2B ? 38,000
Answer: A
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Evaluate the improper integral.
A.
B.
C.
D.
Solve the problem using determinants.Linear systems occur in the design of roof trusses for new homes and buildings. The simplest type of roof truss is a triangle. The truss shown in the figure is used to frame roofs of small buildings. If a 128-pound force is applied at the peak of the truss, then the forces or weights W1 and W2 exerted parallel to each rafter of the truss are determined by the following linear system of equations. W1 +
W2 = 256
-4.0px;" />W1 -
W2 = 0Find W1 and W2.
A. W1 = 93.7 lb; W2= 114.76 lb
B. W1 = 114.76 lb; W2= 93.7 lb
C. W1 = 128 lb; W2= 156.77 lb
D. W1 = 46.85 lb; W2= 57.38 lb
Solve.A $144,000 trust is to be invested in bonds paying 8%, CDs paying 5%, and mortgages paying 9%. The sum of the investments in bonds and CDs must equal the mortgage investment. To earn $11,010 annual income from the investments, how much should the bank invest in bonds?
A. $41,000 B. $29,000 C. $31,000 D. $72,000
Find the foci of the ellipse. +
= 1
A. (-3, -13), (-3, 3) B. (-15, -3), (5, -3) C. (-13, -3), (3, -3) D. (-11, -3), (1, -3)