Let's denote the number of boxes as "x".
The cost of the machine is $3000.
The cost of labor and materials for each box is $2.
The selling price for each box is $5.
The revenue from selling x boxes is 5x.
The cost of producing x boxes is 2x.
To determine the number of boxes needed to break even, we need to find the value of x for which the revenue equals the cost.
Revenue = Cost
5x = 3000 + 2x
To solve for x, we need to isolate the variable.
Subtracting 2x from both sides:
5x - 2x = 3000
3x = 3000
Dividing both sides by 3:
3x/3 = 3000/3
x = 1000
Therefore, the company needs to sell 1000 boxes to break even.
A packaging company has been offered a contract to create gift boxes for perfume/cologne. The company needs to buy a special machine to make the boxes. The machine costs $3,000, and each box costs $2 for labor and materials. The perfume/cologne maker as agreed to buy each box for $5. (5 points) 6.) Use this space to show your work for solving this system of equations. Make sure to show all the steps necessary to solve the system of equations. (5 points)
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