Problem $3$:

In mat lab!!! he following table shows how many hours in process reactors $A,B,$ and C are required to produce $1$ ton each of chemical products $1,2,$ and $3.$ The reactor $A$ is available for $35$ hours per week, and reactors $B$ and C are each available for $40$ hours per week. Compute how many tons of each product can be produced each week. Suppose the profit of $$300,$$$500,$ and $$200$ per ton is made for products $1,2,$ and $3,$ respectively. Compute the total profit.

$\backslash$table$[[$Hours$,$Product $1,$Product $2,$Product $3],[$Reactor A$,6,2,10],[$Reactor B$,3,5,2],[$Reactor C$,2,5,3]]$