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lara31 [8.8K]
3 years ago
11

Ummmm help plzzzz ;p

Mathematics
2 answers:
MakcuM [25]3 years ago
7 0

Answer:

d

Step-by-step explanation:

Gnesinka [82]3 years ago
4 0

Answer:

the answer is D

Step-by-step explanation:

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A carpentry shop currently sells 66000 decoy ducks per year at a cost of 16 dollars each. In the previous year when they raised
Rus_ich [418]

Answer:

19 dollars

Step-by-step explanation:

<h2>Buckle up! This is a good one!</h2>

First we have to find the line that goes trough the two points. And it has the form :

y=mx+b

<em>m is often called the slope.</em>

Given the two points (66000, 16) and (51000, 21) we find m with this formula:

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{21-16}{51000-66000} \\m=-\frac{5}{15000} \\m=-\frac{1}{3000}

We pick the point (51000,21) and plug it into the equation of the line and we find b:

y= mx + b\\21=(-\frac{1}{3000} )(51000)+b\\21=-17+b\\21+17=b=38

<h3>And we have got our line equation</h3>

y= -\frac{1}{3000}x + 38\\

<u>Where x represents the quantity and y represents the price.</u>

<u />

<h2>The revenue</h2>

The revenue is price times quantity, since price is y and quantity is x, we get

y=-\frac{1}{3000} x+38\\y*x=x*(-\frac{1}{3000} x+38)\\yx=-\frac{1}{3000} x^2+38x\\R(x)=-\frac{1}{3000} x^2+38x

<h3>to maximize the revenue, we get the first derivative:</h3>

R(x)=-\frac{1}{3000} x^2+38x\\R'(x)=-(2)\frac{1}{3000} x+38\\R'(x)=-\frac{2}{3000} x+38\\\\R'(x)=-\frac{1}{1500} x+38\\\\

<h3>and we make R'(x)=0:</h3>

R'(x)=-\frac{1}{1500} x+38=0\\38=\frac{1}{1500} x\\38*1500=x=57000

So the quantity that maximizes revenue is 57000,

<h3>let's find out the price by plugging it into the equation:</h3>

y= -\frac{1}{3000}x + 38\\y= -\frac{1}{3000}(57000) + 38\\y= -19 + 38\\y=19

<h2>And there you go! 19 dollars is the price the carpentry shop should charge per decoy duck.</h2>
7 0
3 years ago
Gary and Joey share a 16-ounce box of cereal. By the end of the week, Gary has eaten 3/8 of the box, and Joey has eaten 1/4 of t
V125BC [204]

Answer:

3/8 of the box is left so 6 ounces is left.

Step-by-step explanation:

Make the 1/4, 2/8 then add 2/8 by 3/8 to get 5/8 then subtract 8/8 by 5/8 to get 3/8 then multiply it by 2 to get 6/16.

So the answer is 6/16 or 6.

6 0
3 years ago
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The previous balance in your check register $234.67 . You make a deposit of 150.00 .You write a check for $63.23 . What is your
skelet666 [1.2K]

Answer:

321.44

Step-by-step explanation:

3 0
3 years ago
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Which expression is equivalent to -6- (-2)?
Arte-miy333 [17]

Answer:

huh

Step-by-step explanation:

8 0
3 years ago
The respiratory system removes oxygen and water from the body. Please select the best answer from the choices provided T F
nordsb [41]

Step-by-step explanation:

F respiratory system only remove carbon dioxide from the body

4 0
2 years ago
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