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Two different products are manufactured in two factories. The following incomplete table is known about the production quantities: FACTORY 1 FACTORY 2 TOTAL PRODUCT 1

Two different products are manufactured in two factories. The following incomplete table is known about the production quantities:

FACTORY 1 FACTORY 2 TOTAL
PRODUCT 1 452
PRODUCT 2 868
TOTAL 717 603

In addition, it is known that a total of 723 units of product 1 were manufactured in factory 1 and product 2 in factory 2. How much product 1 was produced in factory 2? Note that although the rows and columns give a total of four equations, only three of them are linearly independent, so one can be omitted. The problem finally results in a linear equation group of four unknowns and four equations, which is solved by normal matrix calculation methods.

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