SOLUTION: The vally view high school has decided to print their own t-shirts for various teams and clubs.The equipment necessary to print the shirts cost $1,179.The shirts cost $4.75 and wil

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The vally view high school has decided to print their own t-shirts for various teams and clubs.The equipment necessary to print the shirts cost $1,179.The shirts cost $4.75 and wil      Log On


   

Question 1171373: The vally view high school has decided to print their own t-shirts for various teams and clubs.The equipment necessary to print the shirts cost $1,179.The shirts cost $4.75 and will be sold for $7.00. How many shirts must be sold to cover the initial investment ?
Answer by ikleyn(52786) About Me  (Show Source):
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The vally view high school has decided to print their own t-shirts for various teams and clubs.
The equipment necessary to print the shirts cost $1,179.The shirts cost $4.75 and will be sold for $7.00.
How many shirts must be sold to cover the initial investment ?
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The cost of production is

    C(n) = 1179 + 4.75n dollars

where n is the number of t-shirts.



The revenue is

    R(n) = 7n  dollars.



The break point condition is

    C(n) = R(n),   or   1179 + 4.75n = 7n.



From this equation

    n = 1179%2F%287-4.75%29 = 524.


ANSWER.  524 t-shirts must be produced and sold.

Solved.