Math Is Fun Forum

ineedhelp

Member

Registered: 2006-01-21

Posts: 7

Homework help. I don't even know where to start.

Fantastic Flags, Inc., finds that the cost to make x flags is: C = 19x + 10, 135
while the revenue produced from them is R = 37x (C and R are in dollars).

What is the smallest whole number of flags, x, that must be sold for the company to show a profit (that is, the point at which revenue begins to exceed cost)?

irspow

Member

Registered: 2005-11-24

Posts: 1,055

Re: Homework help. I don't even know where to start.

R - C = P  (Profit)

So you want to know when;

R-C>0

37x - 19x - 10135 > 0

18x - 10135 > 0

18x > 10135

x > 563.05555...

x = 564

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I am at an age where I have forgotten more than I remember, but I still pretend to know it all.

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,713

Re: Homework help. I don't even know where to start.

... and if they sell 564 this is the result:

Cost =  19x + 10,135 = 19 × 564 + 10,135 = 20,851
Revenue = 37x = 37 × 564 = 20,868

Profit = 20,868 - 20,851 = $17

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

ineedhelp

Member

Registered: 2006-01-21

Posts: 7

Re: Homework help. I don't even know where to start.

Dang.  Looks so easy now.  Hard to see why I didn't see it myself.  Thanks for the help.