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The rock band, Screamin’ Meanies, has a fan club that publishes a monthly newsletter. Expenses are $.35 for printing and mailing each copy, plus $770 total for research, writing and other costs. The price of the newsletter is $.55 per copy. How many copies of the newsletter must the club sell to break even each month?

Respuesta :

texaschic101
" break even " is when ur expenses = revenue.....there is no profit made when u break even

expenses : 0.35x + 770
revenue (ur income) : 0.55x

so they have to equal to break even...so set them equal to each other and solve for x
0.35x + 770 = 0.55x
770 = 0.55x - 0.35x
770 = 0.2x
770 / 0.2 = x
3850 = x <== they must sell 3850 copies to break even

Answer: There are 3850 copies of the newsletter that must the club sell to break even each month.

Step-by-step explanation:

Let the number of copies of the newsletter be 'x'.

Cost of printing and mailing each = $0.35

Total cost for research, writing and other costs = $770

Total cost price would be

[tex]0.35x+770[/tex]

Cost of the newspaper each copy = $0.55

Total selling price would be

[tex]0.55x[/tex]

So, the break even point would be

Total cost price = Total selling price

[tex]0.35x+770=0.55x\\\\770=0.55x-0.35x\\\\770=0.20x\\\\\dfrac{770}{0.20}=x\\\\3850=x[/tex]

Hence, there are 3850 copies of the newsletter that must the club sell to break even each month.

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