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Fiesta28 [93]
2 years ago
15

The total cost (in dollars) for a company to manufacture and sell x items per week is C(x)=50x+400. If the revenue brought in by

selling all x items is R(x)=80x-0.05x2, find the weekly profit. How much profit will be made by producing and selling 40 items each week? Hint: P(x)=R(x)−C(x).
Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
4 0

Answer:

$720

Step-by-step explanation:

Given the following functions

Cost function C(x)=50x+400

Revenue function R(x)=80x-0.05x^2

P(x)=R(x)−C(x).

Profit function P(x) = 80x-0.05x^2 - (50x+400)

P(x) = 80x-0.05x^2 - 50x - 400

Substitute x = 40

 P(40) = 80(40)-0.05(40)^2 - 50(40) - 400

P(40) = 3200-80-2000-400

P(40) =3200-2480

P(40) = 720

Hence the amount of profit made is $720

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mote1985 [20]
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7 0
2 years ago
Solve the equation x2 + 64 = 100
anyanavicka [17]

Answer:

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Step-by-step explanation:

Given

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7 0
3 years ago
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Troyanec [42]

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8 0
2 years ago
2. Mrs. Frederick is paid semimonthly.
Julli [10]

The annual salary of Mrs. Fredrick is $ 39397.2

<u>Solution:</u>

Given, Mrs. Frederick is paid semimonthly.  

Her semi-monthly salary is $1.641.55.  

Now, let us find her monthly salary first.

<em>monthly salary = 2 x semi – monthly salary </em>

So, monthly salary = 2 x 1,641.55 = $ 3283.1

Since there 12 months in a year, we obtain the annual salary as follows:

Now, the<em> annual salary = 12 x monthly salary </em>

Annual salary = 12 x 3283.1  = $ 39397.2

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5 0
2 years ago
Can anyone help me with this?
siniylev [52]

Answer:

1.  280/11

2. 1700/11

3. 280/11

4. 3600

5. 360

Step-by-step explanation:

Let n = sides of a regular polygon

For these problems, n = 22 because there are 22 sides.

I am going to write the formulas needed for each question below.

  1. 360/n
  2. 180 - 360/n
  3. 360/n
  4. 180(n-2)
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To solve, just plug in N with 22.

These formulas are very easy to prove and I recommend if you have time try to prove these.

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2 years ago
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