SOLUTION: The Post Office of the Principality of the Urals (POPU) charges 23 cents per ounce plus a flat rate of 6 cents for packages mailed within the country. The privately run Package Exp

Question 153130: The Post Office of the Principality of the Urals (POPU) charges 23 cents per ounce plus a flat rate of 6 cents for packages mailed within the country. The privately run Package Express company (PEPU) has a delivery charge of $5.50 per package plus $1.75 for each pound. For what size packages would using PEPU instead of POPU be more economical if only the charges are considered?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The Post Office of the Principality of the Urals (POPU) charges 23 cents per ounce plus a flat rate of 6 cents for packages mailed within the country. The privately run Package Express company (PEPU) has a delivery charge of $5.50 per package plus $1.75 for each pound. For what size packages would using PEPU instead of POPU be more economical if only the charges are considered?
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POPU charge: O(x) = 6 + 23x
PEPU charge: E(x) = 550 + 1.75(x/16)
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Question:
When is E(x) less than O(x)?
550 + 1.75(x/16) < 6 + 23x
544 < 22.890625x
x > 23.765.. ounces
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Cheers,
Stan H.
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