Let's call the number of boxes the company needs to make "x".
The cost of the special machine is $3000, this is an initial cost and does not change based on the number of boxes made.
The cost of making each box is $2, so the total cost of making "x" boxes is 2x dollars.
The perfume/cologne maker has agreed to buy each box for $5, this is the revenue the company will generate for each box. The total revenue from making "x" boxes is 5x dollars.
The profit from making "x" boxes is the revenue minus the cost: 5x - 2x = 3x
To break even, the company needs to make enough boxes to cover the cost of the special machine:
3x = 3000
Dividing both sides of the equation by 3, we find: x = 3000 / 3 = 1000
Therefore, the solution to the system of equations is x = 1000.
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 $3000, and each box costs, two dollars for labor and materials. The perfume/cologne maker has agreed to buy each box for five dollars, what is the solution to the system of equations?
1 answer
1 answer