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Allushta [10]
3 years ago
13

A profit function is derived from the production cost and revenue function for a given item. The monthly profit function for a c

ertain item is given by P(x)=−0.05x^2+500x−100,000, where P is in dollars and x is the number of units sold. How many units maximize the profit? FInd the maximum profit

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0
Check the picture below.

\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{lccclll}
P(x) = &{{ -0.05}}x^2&{{ +500}}x&{{ -100000}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)\\\\
-------------------------------\\\\
\textit{so }-\cfrac{b}{2a}\textit{ units maximize the profit, and}\\\\\\
c-\cfrac{b^2}{4a}\textit{ dollars is the maximum profit}

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5.3

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Use the graph of the function y = 4x to answer the following questions.
Sav [38]

Hello from MrBillDoesMath!

Answer:

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...later part of question:...

..."because an exponent can be any real"

exponent?   !!!

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Read 2 more answers
Write a formula that will yield the nth term of the sequence: 3,-2,-7,-12
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Answer:

-5n + 8

Step-by-step explanation:

<u>1. What is the difference?</u>

  The sequence goes down by 5. This means that the formula will have -5n in it.

<u>2. Work out the term before the first term.</u>

    The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.

3 + 5 = 8   Remember, this is positive 8. (+8)

<u>3. Put that term at the end of the equation. </u>

   We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.

-5n + 8  This is our answer!

Just to prove it works:

<em>Substitute:   n = term</em>

Lets see if we can get the 3rd term which is -7. (n = 3)

-5(3) + 8

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See, it works!

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Answer:

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So, there are two populations :

population 1 : mid-sized sedan having new type of tire.

population 2 : mid-sized sedan not having new type of tire.

So, two populations are being compared.

Also, A manufacturer is investigating whether there is an increase in mean gas mileage.The alternative hypothesis will be right tailed and so, this corresponds to one sided test.

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