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3 years ago

Can you guys help for 25 pts I need this done ASAP!!! PlzZzZzZz help thank you

Mathematics

1 answer:

Vladimir79 [104]3 years ago

3 0

I'm not 100% sure on the first one but on the second I can help you out. How would you characterise the relationship? All it is, is that the more hours were spent studying, the higher the score will be.
Paul's function. Since the x values are hours of study all you must do is sub 3 for x in the equation giving you y = 8(3) + 40 = 24 + 40 = 64
What does the 40 mean? This in a straight line is the y-int so all its saying is that no matter how much study Paul does, he will at least get 40 marks.

Hope this helped :)
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29. Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in

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Answer:

(a) When 400 donuts are made daily the company's profits is 250 dollars.

(b) The Company should produce 950 donuts daily in order to maximize its profits.

Step-by-step explanation:

Profit function P(x) = - 0.001 x² + 1.9x - 350

where p is the profit and x is the quantity of donuts made daily.

(a) If x = 400, the company's profit is:

P(x) = - 0.001 x² + 1.9x - 350

= - 0.001 (400)² + 1.9(400) - 350

= $-\frac{160000}{1000} + \frac{7600}{10} - 350$

= - 160 + 760 - 350

= 760 - 510

= 250

(b) The profit of a firm is maximum when MR = MC or MR - MC = 0 which is also known as break even point. In other words, at break-even point the profit function equals to zero. ∴,

$\frac{d}{dx} P(x) = \frac{d}{dx}(- 0.001x^{2} + 1.9x - 350)$

$\frac{d}{dx}(- 0.001x^{2} + 1.9x - 350) = 0$

$- 0.002 x + 1.9 = 0$

$x = \frac{1.9}{0.002}$

$x = 950$

Therefore, the Company should produce 950 donuts daily in order to maximize its profits.

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