Answered

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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 And R=45x

Sagot :

MrRoyal

Answer:

[tex]x = 5[/tex]

[tex]R = C = 225[/tex]

Step-by-step explanation:

Given

[tex]C = 15x + 150[/tex]

[tex]R = 45x[/tex]

Required

The break even point

To do this, we make use of:

[tex]R =C[/tex]

[tex]45x=15x + 150[/tex]

Collect Like Terms

[tex]45x-15x = 150[/tex]

[tex]30x = 150[/tex]

[tex]x = 5[/tex]

Substitute 5 for x in [tex]R = 45x[/tex]

[tex]R = 45 * 5[/tex]

[tex]R = 225[/tex]

Hence, the break even point is:

[tex]x = 5[/tex]

[tex]R = C = 225[/tex]

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