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Fiesta28 [93]
3 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]3 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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3 years ago
Amir buys a new car for £16470. The value of the car will depreciate by 2% each year. Work out how much amir's car will cost aft
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Answer:

Amir's car will cost £10348.88 after 23 years.

Step-by-step explanation:

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This is compound interest so you have to find a decimal multiplier and multiply that with £16470 to the power of 23.

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2 years ago
Find each number. Round to the nearest tenth if necessary
Pavel [41]

Answer:

  1. 96
  2. 6.9
  3. 25%
  4. 8%
  5. 79
  6. 33.8

Step-by-step explanation:

Here is the complete question: Find each number. Round to the nearest tenth if necessary.

  1. 80% of 120.
  2. 115% of 6
  3. What percent of 128 is 32?
  4. 3 is what percent of 36?
  5. 23.7 is 30% of what number?
  6. 71/2% of what is 12?

1) 80% of 120

= \frac{80}{100} \times 120= 8\times 12

= 96

∴ 80% of 120= 96

2) 115\%\ of\ 6

=\frac{115}{100}\times 6= 1.15\times 6

∴ 115\%\ of\ 6 = 6.9

3) What percent of 128 is 32?

= \frac{32}{128} \times 100

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4) 3 is what percent of 36?

= \frac{3}{36} \times 100

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5) 23.7 is 30% of what number?

Let the number be "x".

⇒ \frac{30}{100} \times x= 23.7

Cross multiplying

⇒ x= \frac{23.7\times 100}{30}

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6) 71/2% of what is 12?

Lets assume the required number be "x".

⇒ \frac{71}{2} \times 100\times x= 12

cross multiplying both side.

⇒x= 33.8

∴ 71/2% of 33.8 is 12

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