There are two kinds of products (called DA and GA) produced in your company every day. Also, there are two kinds of materials (denoted by A and B) in need. One DA costs one unit of A, one unit of B; one GA costs one unit of A, two units of B. You get $3000 when you sell one DA and $5000 for one GA. The supply of the two materials every day is 12,22.

a)What is the maximal profit?$

b)How many DA and GA should be produced every day to obtain this maximal profit?

Number of DA=

Number of GA=