The owner of a ready-made garments store sells two types of premium shirts, known as Zee-shirts and Star-shirts. He makes a profit of Rs 200 and Rs 300 per shirt on Zee- and Star-shirts, respectively.

He has two tailors, A and 8, at his disposal to stitch the shirts. Tailor A can devote a total of 17 hours per day, while tailor 8 can give at the most 15 hours a day. Both type of shirts are stitched by both the tailors. The time needed for stitching a Zee-shirt is 2 hours by tailor A and 3 hours by tailor 8. Similarly, a Star-shirt requires 4 hours by tailor A and 3 hours by tailor 8. How many shirts of each type should be stitched in order to maximise daily profit? Formulate it as an integer programming problem.