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AlladinOne [14]
2 years ago
6

PLEASSEE HELP!!!! Mr. carter and Ms. torres need two busses to drive their classes to the amusement park. each class needs money

to rent thr bus and 20 to tip the driver. the two classes together raised $240. how much money can they spend on each bus rental?
a. b+20=240
b. 2b-40=240
c. 2(b+20)=240
d. 2b+20=240
Mathematics
2 answers:
Bumek [7]2 years ago
6 0

Answer:

c. 2(b+20)=240

Step-by-step explanation:

GIVEN :  Mr. carter and Ms. torres need two buses to drive their classes to the amusement park. each class needs money to rent the bus and 20 to tip the driver. the two classes together raised $240.

To Find : . how much money can they spend on each bus rental?

Solution :

Let the rental of each bus be b

And each bus driver was given 20 as tip

so, total cost for 1 bus = b+20

Cost for two buses = 2(b+20)

since we are given the two classes together raised $240

⇒2(b+20)=240

Hence Option C is correct

c. 2(b+20)=240

Kitty [74]2 years ago
4 0
C.2(b+20)=240 is the answer

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Answer:

f(2) = 0 and f(6) = -4

Step-by-step explanation:

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A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are ​C(x)equals72 com
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Answer:

Part (A)

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Part (B)

  • 2. Maximum protit: $192,500
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<u>0. Write the monthly cost and​ price-demand equations correctly:</u>

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Simplify

      R(x)=300x-\dfrac{x^2}{20}

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         R'(x)=300-\dfrac{x}{10}

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i) Profit(x) = Revenue(x) - Cost(x)

  • Profit (x) = R(x) - C(x)

       Profit(x)=300x-\dfrac{x^2}{20}-\big(72,000+70x\big)

       Profit(x)=230x-\dfrac{x^2}{20}-72,000\\\\\\Profit(x)=-\dfrac{x^2}{20}+230x-72,000

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Thus, the production level that will realize the maximum profit is 2,300 units.

iii) Find the maximum profit.

You must substitute x = 2,300 into the equation for the profit:

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Hence, the maximum profit is $192,500

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Use the price-demand equation:

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The new profit equation will be:

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  • Profit(x) = -x² / 20 + 226x - 72,000

ii) Find the first derivative and make it equal to 0:

  • Profit'(x) = -x/10 + 226 = 0
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Then, the new maximum profit is reached when the production level is 2,260 units.

iii) Find the maximum profit by substituting x = 2,260 into the profit equation:

  • Profit (2,260) = -(2,260)² / 20 + 226(2,260) - 72,000
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Hence, the maximum profit, if the government decides to tax the company $4 for each set it produces would be $183,800

iv) Find the price the company should charge for each set.

Substitute the number of units, 2,260, into the equation for the price:

  • p(2,260) = 300 - 2,260/20
  • p(2,260) = 187.

That is, the company should charge $187 per television set.

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