Quill Manufacturing Business makes two models of marking pens. The requirements for each lot of pens in the three manufacturing departments are given below. All three departments are necessary in the production of both types of pens. The profit for both types of pen is $$1000$ per lot.

What is the optimal production quantity for the Tiptop model pen?

Fliptop Model

Tiptop Model

Available production hours

Ink Assembly

$3$

$4$

$36$

Molding Time

$5$

$4$

$40$

Plastic

$5$

$2$

$30$