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The number of heart transplants, y, performed in the U.S is given by Y= 55x + 2157, where x represents the number of years after 2001.
a) According to this model, how many heart transplants were performed in the U.S in 2001?
b) According to this model, how many heart transplants can be expected in the U.S in 2020?
c) According to this model, in what year will there first be more than 5000 heart transplants performed in the U.S?
d) Explain in one or two sentences what the slope means in the context of this problem.
Inventory carrying costs are $2 per recorder per month. The manager does not want any inventory carried over past the fifth month. The manager wants to know the monthly production that will minimize total production and inventory costs.
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Suppose that L is the tangent line at x = x0 to the graph of the cubic equation y = ax3 + bx. Find the x-coordinate of the point where L intersects the graph a second time.
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