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almond37 [142]
3 years ago
11

The RideEm Bicycles factory can produce 110 bicycles in a day at a total cost of $10,900 and it can produce 130 bicycles in a da

y at a total cost of $11,600. What are the company's daily fixed costs?
What is the marginal cost per bicycle?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0
C - fixed costs; b - costs per bicycle;
c + 110 b = 10,900 
c + 130 b = 11,600
c = 10,900 - 110 b
10,900 - 110 b + 130 b = 11,600
20 b = 700
b = 700 : 20 = $35
c + 110 * 35 = 10,900
c + 3,850 = 10,900
c = 10,900 - 3,850
c = $7,050 ( daily fixed costs )
Marginal cost is the cost of producing one more unit of goods ( one more bicycle ).
Answer:
The company`s daily fixed cost is $7,050.
The marginal cost per bicycle is $35. 
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Answer:

The interval notation of the solution is (-4 , 4)

Step-by-step explanation:

* Let us explain a very important point in solving inequality

- When you multiply or divide an inequality by negative number we

   must reverse the symbol of the inequality

- Ex:

∵ 2 < 3

- If we multiply the both sides of the inequality by -1, then the

  inequality will be -2 < -3 and this is completely wrong, so we must

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∴ -2 > -3

* Now let us solve the problem

∵ -2x > -8

- Divide both sides by -2 and remember to reverse the symbol of the

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∴ x < 4

∵ -5x < 20

- Divide both sides by -5 and remember to reverse the symbol of the

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∴ x > -4

- From both solutions

∴ -4 < x < 4

∴ The solution is {x : -4 < x < 4}

- Interval notation is a way of writing the solutions of inequalities

 ( , ) if x does not equal the end numbers

 [ , ] if x equals the end numbers

 [ , ) , ( , ] if x equals one of the two end numbers

* The interval notation of the solution is (-4 , 4)

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3 years ago
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PSYCHO15rus [73]

Answer:

B

Step-by-step explanation:

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Follow the rule:

67+16=83

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The nth term of an arithmetic sequence is expressed as;

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a is the first term

n is the number of terms

d is the common difference

From the sequence

a = 28

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n =91(since we are looking for the 91st term)

Substrate

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T91 = 28+90(-20)

T91 = 28-1800

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