A student makes and sells designer T-shirts to earn extra cash. The material needed to make each T-shirt costs $4.25. Currently, the student sells each designer T-shirt for $15. In an effort to increase sales, the student decides to spend $500 on promotional advertising. How many designer T-shirts must the student sell to break even? A. 26 B. 34 C. 46 D. 47

Step-by-step explanation:

Let x be the number of designer T shirts.

To break even,

Total Cost = Total Sales

Fixed Cost + Variable Cost = Total Sales

given the promotional advertising is classified under fixed cost,

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step-by-step explanation:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )