Four factories are engaged in the production of four types of toys. The following table lists the

toys that can be produced by each factory. Factory Toys productions mix

Factory Toys production mix

$11,2,3$

$22,3$

$31,3,4$

$41,3,4$

All toys require approximately the same per$-$unit labor and material. The daily capacities of the four

factories are $250,180,300,$ and $200$ toys, respectively. The daily demands for the four toys are $200,$

$150,350,$ and $100$ units, respectively. Determine the factories$$ production schedules that will most

satisfy the demands for the four toys.