SOLUTION: The cost of producing each copy of a travel guide is $0.95. It is sold to travel agents for $0.90 each, and the amount received for advertising is 10% of the amount received for al
Algebra.Com
Question 151331: The cost of producing each copy of a travel guide is $0.95. It is sold to travel agents for $0.90 each, and the amount received for advertising is 10% of the amount received for all guides sold beyond 12,000. Find the fewest number of travel guides that must be produced and sold to break even
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The cost of producing each copy of a travel guide is $0.95.
It is sold to travel agents for $0.90 each, and the amount received for advertising is 10% of the amount received for all guides sold beyond 12,000. Find the fewest number of travel guides that must be produced and sold to break even.
----------------------------
Let "x" be the number of guides produced.
----------------------------
Production cost(x) = 0.95x
Income(x) = 0.90x + (x-12000)0.10x
-----------------------------
Breaking Even:
Production cost = Income
0.95x = 0.90x + 0.10(x^2-12000x)
0.05x = 0.10x^2 - 1200x
10x^2-5x-120000x = 0
10x^2 -12005x = 0
x(10x - 12005) = 0
x = 0 or x = 1200.5 (break even number of guides)
=============================================
Cheers,
Stan Hanson
RELATED QUESTIONS
The cost of publication of each copy of a magazine is $1.30. It is sold to dealers for... (answered by Theo)
Your travel guide contains a grid map of Rome, with each unit on the grid representing... (answered by MathLover1,math_tutor2020)
The band wants to know how many copies of their CD they would need to make and sell in... (answered by josgarithmetic)
an SRS of 75 incoming calls to a company's customer-service agents showed it took an... (answered by stanbon)
The total cost of producing a group of bags is $1100. In addition, each bag cost $18 in... (answered by josmiceli)
If the cost of producing each unit of product A is 50 Php and the selling price for each... (answered by ikleyn)
Plane B is flying 95mph faster than Plane A. Find the time it takes for Plane A to (answered by ikleyn)
If the cost of producing each unit of product A is 50 Php and the selling price for each... (answered by ikleyn)
For a certain company, the cost function for producing x items is C(x)=30x+200 and the... (answered by ikleyn)