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My name is Ann [436]
3 years ago
8

The number of portable widgets produced weekly by Widget, Inc., is related to the weekly profit in the way:

Mathematics
1 answer:
mixer [17]3 years ago
3 0

9514 1404 393

Answer:

  • 22 widgets
  • $58,400

Step-by-step explanation:

The turning point (maximum or minimum) of quadratic function ...

  f(x) = ax² +bx +c

is at x = -b/(2a).

Here, this means the maximum profit will be had when the number of widgets produced weekly is ...

  x = -88/(2(-2)) = 22

The profit at that level of production is ...

  P(22) = (-2·22 +88)(22) -384 = 44(22) -384 = 968 -384 = 584 . . . hundreds

22 widgets must be produced weekly for the maximum weekly profit of $58,400.

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Anyone mind helping me out?
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Answer:

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≈611 square miles (rounded to nearest mile)

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