Let's denote the number of boxes as x.
The cost for the special machine is $3,000.
The cost for labor and materials for each box is $2.
The selling price for each box is $5.
The cost equation is: Cost = $3,000 + $2x
The revenue equation is: Revenue = $5x
To find the breakeven point, we need to set the cost equal to the revenue:
$3,000 + $2x = $5x
Rearrange the equation:
$2x - $5x = $3,000
Simplify:
-$3x = $3,000
Divide both sides by -3:
x = $3,000 / -3
x = -1,000
However, we cannot have a negative number of boxes, so the solution is not feasible.
Therefore, there is no solution to this system of equations.
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.
(What is the solution to this system of equations?)
(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.)
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