Solve the problem.An electronics store stocks VCRs, stereo systems, and television sets. They have limited storage space and can stock a total of at most 170 of these three machines. They know from past experience that they should stock twice as many VCRs as stereo systems and at least 50 television sets. If each VCR sells for $400, each stereo system sells for $2100, and each television set sells for $800, how many of each should be stocked and sold for maximum revenues?
A. 72 VCRs, 36 stereo systems, 62 television sets
B. 56 VCRs, 28 stereo systems, 86 television sets
C. 80 VCRs, 40 stereo systems, 50 television sets
D. 60 VCRs, 60 stereo systems, 50 television sets
Answer: C
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The graph of an exponential function is given. Select the function for the graph from the functions listed.
A. f(x) = 4x - 2 B. f(x) = 4x C. f(x) = 4x - 2 D. f(x) = 4x + 2
Find the derivative of the function at the given point in the direction of A.
A. -
B. -
C. 0
D.
Solve the problem.If Emery has $2,000 to invest at 7% per year compounded monthly, how long will it be before he has $3,300? If the compounding is continuous, how long will it be? (Round your answers to three decimal places.)
A. 0.091 yrs, 0.715 yrs B. 89.65 yrs, 7.44 yrs C. 0.617 yrs, 0.596 yrs D. 7.175 yrs, 7.154 yrs
Sketch the graph of the quadratic function. Give the vertex and axis of symmetry.f(x) = x2 - 2x - 8
A. vertex (- 1, - 9); axis of symmetry x = - 1
B. vertex (- 1, - 9); axis of symmetry x = - 1
C. vertex (1, - 9); axis of symmetry x = 1
D. vertex (1, - 9); axis of symmetry x = 1