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 ?
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<pre>
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/(7-4.75)}}} = 524.


<U>ANSWER</U>.  524 t-shirts must be produced and sold.
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Solved.