55 trained workers and 33 untrained workers can assemble 1818 robots per hour. 66 trained workers and 44 untrained workers can assemble 2222 robots per hour. The number of robots that a trained worker can assemble in 11 hour is 𝑡t and the number that an untrained worker can assemble in the same time is 𝑢u. The matrix is equivalent to:
Question
55 trained workers and 33 untrained workers can assemble 1818 robots per hour. 66 trained workers and 44 untrained workers can assemble 2222 robots per hour. The number of robots that a trained worker can assemble in 11 hour is 𝑡t and the number that an untrained worker can assemble in the same time is 𝑢u. The matrix is equivalent to:
Solution
The problem can be represented as a system of linear equations. Let's denote the number of robots that a trained worker can assemble in one hour as t and the number of robots that an untrained worker can assemble in the same time as u.
The first equation can be written as: 55t + 33u = 1818
The second equation can be written as: 66t + 44u = 2222
This system of equations can be represented as a matrix:
| 55 33 | | t | = | 1818 | | 66 44 | | u | = | 2222 |
So, the matrix equivalent to the system is:
| 55 33 1818 | | 66 44 2222 |
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