/sci/ - Science & Math » Thread #11614399

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Hello! I am stuck on this problem, and would greatly appreciate help. Thank you.

Anonymous Wed 29 Apr 00:01:17 2020 No.11614399 View Reply Original Report

Quoted By: >>11614633

Anonymous

Anonymous Wed 29 Apr 2020 00:08:25 No.11614425 Report

Quoted By: >>11614647

Man, the wording as atrocious. Why can't they just ask the problem abstractly?

Regardless, consider that the total cost is going to be 6CP + 10PM.
You also know also that CP + PA = 20 and that AM = 24.
How can you get PM as a function of PA?

Anonymous

Anonymous Wed 29 Apr 2020 01:11:02 No.11614633 Report

Quoted By: >>11614733

>>11614399
write the cost as a function of x. x can be in the interval [0, 20] and the cost function is differentiable. so you can use the "extreme value theorem" to find the maxima/minima.

Anonymous

Anonymous Wed 29 Apr 2020 01:20:18 No.11614647 Report

Quoted By: >>11614934

>>11614425
wording isn't even bad til the last sentence, and they can't ask abstractly because the point is to be able to apply math to real scenarios

Anonymous

Anonymous Wed 29 Apr 2020 01:59:25 No.11614733 Report

Quoted By:

>>11614633
Unironically the best answer.
[spoiler:lit]You are over the age of 18, aren't you OP?[/spoiler:lit]

Anonymous

Anonymous Wed 29 Apr 2020 03:06:01 No.11614934 Report

Quoted By:

>>11614647
>Applying mathematics to real scenarios

Anonymous

Anonymous Wed 29 Apr 2020 03:14:53 No.11614952 Report

Quoted By:

If you haven't figured it out by now OP, the cost function is
$6x + 10\sqrt{24^2 + (20 - x)^2}$
Take the derivative of this function to find where it is minimized.

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