Please solve the following goal programming problem . A manufacturer wants to meet customer demand. The manufacturer produces two types of products. premium products are produced at a rate of one unit every eight hours, while regular products are produced at a rate of one unit every six hours. There are 600 working hours per day. Premium products are 2.5 times more important than regular products. Goals, in prioritized order: 1. the production time should not be less than the working hours per day. 2. Al least 50 units of premium products and 70 units of regular products must be produced (based on their relative importance). 3. Overtime should be kept under eighty hours. a) Write the mathematical form of the problem. b) What are values of the decision variables after solving the problem? (note: the space provided is more than what you need) Decision Variable Value