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Recall that to find the cost to produce the nth unit in a production process, we calculate the difference C(n)−C(n−1) where C(n) is the cost of producing n units. The total cost (in dollars) for a fast food franchise of producing x thousand hamburgers might be C(x)=18000+700x−80x2. Find the exact cost of producing the 2,001st burger. Be careful though. The units for x are thousand of hamburgers. The 2,001st burger is represented by 2.001!

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princessesther2011

Answer:

The exact cost is $19080.37992

Step-by-step explanation:

C(x) = 18000+700x-80x^2

x = 2001/1000 = 2.001

C(2.001) = 18000+700(2.001)-80(2.001)^2 = 18000+1400.7-320.32008 = $19080.37992

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