Solve the problem.Suppose a business can sell x gadgets for p = 250 - 0.01x dollars apiece, and it costs the business 
dollars to produce the x gadgets. Determine the production level and cost per gadget required to maximize profit.
A. 10,000 gadgets at $150.00 each
B. 111 gadgets at $248.89 each
C. 13,750 gadgets at $112.50 each
D. 11,250 gadgets at $137.50 each
Answer: D
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Answer each question appropriately.Suppose the velocity of a body moving along the s-axis is 
= 9.8t - 10.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.
A. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out. B. Yes, integration is not possible without knowing the initial position. C. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement. D. No, displacement has nothing to do with the position of the body.
Graph.f(x) = 
x + 2
A. 
B. 
C. 
D. 
An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.a = 5;
T = 10 seconds
A. d = 5 cos (10t)
B. d = -5 cos 
C. d = -5 cos (10t)
D. d = 5 cos 
Express the set in the simplest interval form.(-2, 9] ? (0, ?)
A. (-2, 9] B. (-2, ?) C. [0, 9] D. (0, 9]