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!

Question

Cobb

Mathematics

Today, 03:51

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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Alfred Medina · Answer 1

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