LP bonus on paint

LP Bonus Problem on PaintA company manufacturers two types of paint called A and B. With each barrel of A that they produce they earn a profit of $11 and with each barrel of B that they produce they earn a profit of $20. Each type of paint must first go through a blending station and then a mixing station and finally an inspection station. For each barrel of Product A produced twenty-two minutes are required in the blending station, twelve minutes are required in the mixing station and ten minutes are required in the inspection station. For each barrel of Product B produced fourteen minutes are required in the blending station, sixteen minutes are required in the mixing station and twenty-five minutes are required in the inspection station. On any given twenty-four hour day in which the operation runs, there are 3080 man-minutes available in blending, 1920 man-minutes available in mixing and 2500 man-minutes available in inspection.A couple of other factors that might need to be taken into consideration are these:

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