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Hello everyone! I come back here. And today we will find the answer to this question together “The Solfel Dynamic Frames creates two kinds of frame, wooden frame and metal frame. Each frame is processed under two machines, M1 and M2”. Let’s follow along!

## Question: The Solfel Dynamic Frames creates two kinds of frame, wooden frame and metal frame. Each frame is processed under two machines, M1 and M2.

Here is our full question:

The Solfel Dynamic Frames creates two kinds of frame, wooden frame and metal frame. Each frame is processed under two machines, M1 and M2. Machine M1 has a maximum of 250 hours to be used per production and machine M2 has a maximum of 200 hours. Each wooden frame requires 2 hours to be processed in M1 and 2.5 hours in M2. Each metal frame requires 1.5 hours in M1 and 1 hour in M2. Profit is P 500 for a wooden frame and P 400 for a metal frame. Determine the number of wooden frame and metal frame to be produced to obtain a maximum profit if wooden frame must not exceed 20 pcs for each production.

## Answer

For the above exercise, we will first call two unknowns x,y for the two types of machines. We have the maximum profit of 500x+400y. Equation 1 we have: 2x+1.5y= 250, equation 2 we have: 2.5x+y=200. Solve the system of equations to find x, y, then substitute the sum equation to get the answer.

And here are the steps to find the answer:

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## Relevant knowledge

When starting a business, profit is the most important factor. Defined as “total revenue minus total costs,” profit is the amount of money a business earns during a given accounting period. In general, the more profit the better because the business owner can use it for reinvestment. Determining correctly how profitable a business is is an essential part of assessing a business’s financial health. It can also help business owners determine the price of goods and services, employee salaries, and more.

## Conclusion

Thus, we have helped you to solve the question “The Solfel Dynamic Frames creates two kinds of frame, wooden frame and metal frame. Each frame is processed under two machines, M1 and M2.” Thanks for reading and see you next time!

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