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Naddik [55]
2 years ago
12

Please help !!

Mathematics
1 answer:
Elden [556K]2 years ago
8 0

Answer:

Should be 19.533333 (3 keeps repeating)

Step-by-step explanation:

if you add all the numbers up it equals

293

There are 15 points so you should just have to do 293/15

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Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys
il63 [147K]

Answer:

a)  P(x)=-0.042x^2+530x-18000

b)  P'(x)=-0.084x+530

c)

P'(4000)=194

P'(9500)=-268

Step-by-step explanation:

a)

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

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

Finding Profit Function (P(x)):

P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000

This is the profit function.

b)

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

\frac{d}{dx}(x^n)=nx^{n-1}

Now, we differentiate the profit function to get the marginal profit function (P'):

P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530

This is the marginal profit function , P'.

c)

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194

and

P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268

6 0
3 years ago
Example
castortr0y [4]

Answer:

6/8

Step-by-step explanation:

y^1-y^2/x^1-x^2

2+4/2+6

6/8

5 0
2 years ago
Read 2 more answers
A car is 200 km from its destination after an hour and 80 km from its destination after 3 hour
Pani-rosa [81]

200 - 80 is equal to 120. So the car traveled 120 km in 3 hours. It travels at an average of 120/3 = 40 km/hr, and will reach its destination in 2 hours.

4 0
3 years ago
Multiply. Write your answer as a fraction in the simplest form.<br> (−1 2/3)^3
nikdorinn [45]

Answer:

Fraction Calculator

Add Fractions, Subtract Fractions, Multiply Fractions, or Divide Fractions and get an answer in the simplest form with this Online Fraction Calculator.

FRACTION CALCULATOR

First Fraction

/

(+, -, x, ÷)

Second Fraction

/

Add Fractions

Subtract Fractions

Multiply Fractions

Divide Fractions

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
John's age increased by 11 is 5 less than 5 times his age. How old is he?
pychu [463]
I hope this helps you




x+11=5x-5

4x=16

x=4
3 0
3 years ago
Read 2 more answers
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