So here was a problem that could be solved by reducing a matrix. So a production company has two miles of bicycle. I have a model to a one and the model 301 The model to a one takes your car company two hours to build. They cost $18 to make about 301 takes three hours, three hours to build and 27 dollars to make unless his company has daily production budget of 34 hours and $335. Okay, now. But not question to ask is how many of and pure one bikes and and 301 bikes do we need to manufacture so that we used up Oh, are allotted time and money. So first things first, we consider the time we have 34 hours to burn in the day, so therefore it's two hours per m. Two a one bike plus three hours per m, +301 bike and that at the 34 hours, then we have 18 dollars per m. Two a one bike and $27 per m. Three a went bike, and this adds up 3 to $35 So now we have a natural system between your equations that can be solved by writing in the matrix form. This is would be to 3 34 18 27 three, 35. Now we just do some reductions. So we subtract row two or nine times we tracked nine times were a one from road route to, and that will get us to 3 34 00 29. So now, from the last row, we see that this system of when you're equations is impossible to solve. So this in question is impossible to answer. So all in all, it is not possible to use up Oh, our time and money any day.