(40%) Soccer ball manufacturing takes two steps. First, a bladder is made by blowing air into a mold containing latex. Then synthetic leather panels (20 hexagons and 12 pentagons) are cut and stitched together into covers into which the bladder is inserted. Each ball consists of one bladder (B) and one cover (C). There 120 workers in the Malaysian factory and 1200 workers at the Pakistan factory. In each factory a worker can stitch covers or mold bladders. Task: bladders (B) covers (C) Factory: Malaysia (M) 36 12 Pakistan (P) 6 3 1. What allocation of worker tasks at each factory will maximize overall output given the number of employees in each factory? 2. What is the increase in productivity relative to self-sufficiency? 3. Calculate and depict on a line the range of relative wages where both plants should be operated once workers can be hired and fired