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3 years ago

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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