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(32 points) A given product has a weekly demand that averages 100 per week and with a weekly standard deviation of 35,35. Lead time is two weeks. If the carrying cost is 55 per unit and the cost per order is the hourly wage rate of $ 169 per order answer the following 1. How much is the Economic Order Quantity? 2. How much is the reorder quantity? 3. How many cycles are there? 4. How many orders are there? 5. How much is the cycle time? IL (20 points) Bard Co manufactures three types of mugs with the logo of a nearby university. The time required for each mug in two manufacturing departments (dpt), and the profit per unit are recorded in the following table: Mug Mug 2 Mug 3 Molding time (minutes 2 3 Finishing time (minutes) 8 12 14 Unit profit 5 2.50 2.80 3.00 Bard employs 12 workers each of whom wories 8 hours per day. Four workers are assigned to the molding dpt, and the rest to the finishing dpt. The marketing dpt of Bard has recommended the following At least 150 mugs should be produced daily () The daily production of mu must be at most twice the sum of the must and produced (i) The daily production of mug can sccount for at most 30% of the total daily production 1. Formulate a linear program 2. Suppose the 12 workers can be assigned to both departments, formulate revised linear program IV (32 points) A given product has a weekly demand that averages 100 per week and with a weekly standard deviation of 35,35. Lead time is two weeks. If the carrying cost is 55 per unit and the cost per order is the hourly wage rate of $ 169 per order answer the following 1. How much is the Economic Order Quantity? 2. How much is the reorder quantity? 3. How many cycles are there? 4. How many orders are there? 5. How much is the cycle time? IL (20 points) Bard Co manufactures three types of mugs with the logo of a nearby university. The time required for each mug in two manufacturing departments (dpt), and the profit per unit are recorded in the following table: Mug Mug 2 Mug 3 Molding time (minutes 2 3 Finishing time (minutes) 8 12 14 Unit profit 5 2.50 2.80 3.00 Bard employs 12 workers each of whom wories 8 hours per day. Four workers are assigned to the molding dpt, and the rest to the finishing dpt. The marketing dpt of Bard has recommended the following At least 150 mugs should be produced daily () The daily production of mu must be at most twice the sum of the must and produced (i) The daily production of mug can sccount for at most 30% of the total daily production 1. Formulate a linear program 2. Suppose the 12 workers can be assigned to both departments, formulate revised linear program IV