FAC Company produces two types of liquid fertilizer, Growbig and Thrive. It makes these by similar processes, using the same equipment for blending raw materials, distilling the mix, and finishing (bottling, testing, etc.)  In particular, there are only 40 hours of blending available each week, 30 hours of distilling and 20 hours of finishing. The fertilizers are made in batches, and each batch needs the following hours on each process.

                                                Blending              Distilling               Finishing

Growbig                                  1                               2                             1                          

Thrive                                      2                              1                              1

The factory makes a net profit of $300 in in each batch of grow big and $200 on thrive.

Formulate a linear programming model.