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vovangra [49]
3 years ago
13

Total profit P is defined as total revenue R -= total cost​ C, and is given by the function Upper P left parenthesis x right par

enthesis equals Upper R left parenthesis x right parenthesis minus Upper C left parenthesis x right parenthesis. Find the total profit​ P(x) when ​R(x)equals150.97 x minus 0.3 x squared and Upper C left parenthesis x right parenthesis equals 4529.10 plus 0.5 x squared.
Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

Step-by-step explanation:

P(x) = R(x) - C(x)

Where,

P(x) = Total profit

R(x) = Total revenue

C(x) = Total cost

R(x)equals150.97 x minus 0.3 x squared

R(x) = 150.97x - 0.3x^2

Upper C left parenthesis x right parenthesis equals 4529.10 plus 0.5 x squared.

C(x) = 4529.10 + 0.5x^2

P(x) = R(x) - C(x)

= (150.97x - 0.3x^2) - ( 4529.10 + 0.5x^2)

= 150.97x - 0.3x^2 - 4529.10 - 0.5x^2

= 150.97x - 0.8x^2 - 4529.10

P(x) = -0.8x^2 + 150.97x - 4529.10

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Given ABC find the values of x and y. In your final answer, include all of your calculations.
kow [346]

So with this, we will be using proportions. To solve for x, our proportion will be \frac{x}{6} =\frac{6}{x-9}


Firstly, cross-multiply: x^2-9x=36


Next, subtract 36 on both sides: x^2-9x-36=0


Next, replace -9x with 3x-12x x^2+3x-12x-36=0


Next, factor x^2+3x and -12x-36 separately: x(x+3)-12(x+3)=0 . After, rewrite it as (x-12)(x+3)=0


Next, solve for x separately in the two parentheses:

x-12=0\\ x=12

x+3=0\\ x=-3


Since we can't have a negative length, x = 12.



To solve for y, our proportion will be \frac{y}{9} =\frac{12}{y}


Firstly, cross-multiply: y^2=108


Next, just square root each side, and your answer will be (rounded to hundredths) y=10.39



In short, x = 12 and y = 10.39.

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3 years ago
five out of 12 apple trees in a small orchid are taller than 9 ft what is the decimal equivalent of the number of apple trees ta
Anon25 [30]
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2 years ago
A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.
Annette [7]

The most appropriate choice for maxima and minima of a function will be given by

Rectangle of length 72 feet and breadth 36 feet has largest area

What is maxima and minima?

Maxima of function f(x) is the maximum value of the function and minima of function f(x) is the minimum value of the function.

Here,

Let the length be x feet and breadth be y feet

The farmer has 144 feet of fencing

Three of the sides will require fencing and the fourth wall already exists.

So,

x + y + y =1 44

x + 2y = 144

Area of rectangle(A) = xy ft^2

                               = (144 - 2y)y

                               = 144y - 2y^2

\frac{dA}{dy} = \frac{d}{dy}(144y - 2y^2)

     = 144 - 2\times 2y^{2-1}\\144 - 4y

For largest area,

\frac{dA}{dy} = 0

144 - 4y = 0 \\4y = 144\\y = \frac{144}{4}\\y = 36

\frac{d^2A}{dy^2} = \frac{d}{dy}(144 - 4y)\\=0-4\\=-4 < 0

Hence area is maximum

For largest area, y = 36 feet

x = 144 - 2\times 36\\x = 144-72\\

x = 72 feet

So length of rectangle is 72 feet, breadth of rectangle is 36 feet

To learn more about maxima and minima of a function, refer to the link:

brainly.com/question/14378712

#SPJ9

3 0
1 year ago
Simplify. 6+4(12−15)2 Enter your answer in the box.
xenn [34]

....................

7 0
3 years ago
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What is 23*67 i will give you five stars
kakasveta [241]

Answer:

1541

Step-by-step explanation:

23×67=154

hope it helps

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2 years ago
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