Answer:
The company must sell at least 2 shirts to break even.
Step-by-step explanation:
Cost:
The cost is given by the following equation:
[tex]C = \frac{40}{30x+20} + 20 = \frac{4x}{3} + 20[/tex]
Revenue:
The revenue is given by the following equation:
[tex]R = 15x[/tex]
How many t shirts must the company sell to break even?
Breakeven point is when the revenue is the same as the costs. So
[tex]\frac{4x}{3} + 20 = 15x[/tex]
[tex]15x - \frac{4x}{3} = 20[/tex]
[tex]\frac{45x}{3} - \frac{4x}{3} = 20[/tex]
Multiplying everything by 3
[tex]45x - 4x = 60[/tex]
[tex]41x = 60[/tex]
[tex]x = \frac{60}{41} = 1,...[/tex]
Since you cant make a decimal value of shirts
The company must sell at least 2 shirts to break even.
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The company must sell about 2 shirts to break even
Given the cost C, in dollars to make x t-shorts by the equation C = 40/30x + 20 and the revenue R, in dollars, made by selling x t-shirts is given by R=15x
Since the breakeven occurs at the point where the cost is equal to the revenue, hence;
Simplify and calculate the value of x;
Subtract 15x from both sides
4x/3 - 15x = -20
(4x-45x)/3 = -20
-42x = -60
x = 60/42
x = 1.43
Hence the company must sell about 2 shirts to break even
Learn more on break-even point here: https://brainly.com/question/2284152
