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AnnyKZ [126]
3 years ago
6

The cost, in millions of dollars, for a company to manufacture x thousand speed boats is given by the function C(x) = 3x2 - 30x

+ 175. Find the number of speedboats that must be produced to minimize the cost.
Mathematics
1 answer:
nalin [4]3 years ago
7 0

Answer:

  5000

Step-by-step explanation:

In vertex form, the cost function is ...

  C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)

  C(x) = 3(x -5)² +100

The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.

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