Ahigh school purchases a printing machine that can put lettering on clothing for $6,000. the school plans to print t-shirts with the school logo and sell them. each t-shirt costs the school $4 and will sell for $12. how many t-shirts must the school sell before breaking even?

Let's assume

number of T-shirts is x

Firstly , we will find cost function

Calculation of cost function:

A high school purchases a printing machine that can put lettering on clothing for $6,000

so, cost of printing machine =$6000

initial cost =6000

Each T-shirt costs the school $4

so, total cost =6000+4*x

Calculation of selling price function:

we are given

Each T-shirt costs the school will sell for $12

so,

total selling price =12x

Break-even point:

In break-even point , selling price = cost price

so,

now, we can plug value

now, we can solve for x

So, the number of T-shirts are 750.........Answer

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step-by-step explanation:

idk

step-by-step explanation: