worth 10 points Let C represent the cost in dollars and R represent the revenue in dollars. What is the break-even point? Use a table

Question

worth 10 points
Let C represent the cost in dollars and R represent the revenue in dollars. What is the break-even point? Use a table to help if necessary.

C=15x+150
R=45x

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Edana Edana 4 years 2021-08-17T03:45:21+00:00 1 Answers 4 views 0

Answers ( )

  1. Ben
    0
    2021-08-17T03:46:22+00:00
    Reply

    Answer:

    x = 5

    When you sell 5 units, the revenue and the production cost would be equal.

    Step-by-step explanation:

    Given

    C represents the cost in dollars

    • C=15x+150

    R represents the revenue in dollars

    • R=45x

    To determine

    What is the break-even point?

    Break-even point:

    We know that the cost gets equal to revenue at the break-even point.

    i.e.

    C = R

    substitute C=15x+150 and R=45x

    15x+150 = 45x

    45x - 15x = 150

    30x = 150

    divide both sides by 30

    \frac{30}{30}x\:=\:\frac{150}{30}

    x = 5

    Therefore, when you sell 5 units, the revenue and the production cost would be equal.

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