SOLUTION: I need to write a linear inequality for: A company manufactures and sells personalized stationery. The weekly fixed cost is $3000 and it costs $3.00 to produce each package of st

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I need to write a linear inequality for: A company manufactures and sells personalized stationery. The weekly fixed cost is $3000 and it costs $3.00 to produce each package of st      Log On


   

Question 266276: I need to write a linear inequality for:
A company manufactures and sells personalized stationery. The weekly fixed cost is $3000 and it costs $3.00 to produce each package of stationery. The selling price is $5.50 per package. How many packages of stationery must be produced and sold each week for the company to have a profit?
I am not sure where to start. I was thinking N=300x + 3000 and N=550x+3000 but I don't believe that is correct. Help?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I need to write a linear inequality for:
A company manufactures and sells personalized stationery.
The weekly fixed cost is $3000 and it costs $3.00 to produce each package of stationery.
The selling price is $5.50 per package.
How many packages of stationery must be produced and sold each week for the company to have a profit?
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Let the number of packs sold be "x".
Revenue = 5.50x dollars
Overhead = 3000 + 3.00x
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Inequality:
Profit means Revenue > Overhead
Solve 5.50x > 3000+3.00x for "x":
2.50x > 3000
x > 1200 (# of packs they need to sell to make a profit)
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Cheers,
Stan H.
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