management science need assistance ASAP

1. A Manufacturer produces two products, the Klunk and the Klick. Klunk has a contribution to profit of $3, and the Klick $4 per unit. The manufacturer wishes to establish the weekly production plan that maximizes profit. Production of these products is limited to machine, labor and material constraints. Each Klunk requires four hours machining, four hours labor and one kilogram of material, where as each Klick requires two hours machining, six hours labor and one kilogram of material. Machining and labor has a maximum of one hundred and one hundred and eighty hours available, and total material available is forty kilograms. Because of a trade agreement, sales of Klunk are limited to a weekly maximum of twenty units and to honor an agreement with an old established customer at least ten units of Klick must be sold each week. i. Determine graphically using linear programming a suitable production mix of Klunk and Klick. [12] What will be the company's maximum profit? [3] ii. 2. Gemtronich Corp. produces electrical components for appliance and automotive industries. Previously, daily demand for part KX202 has shown little seasonal variation, but has been normally distributed with a mean of 700 per day and a standard deviation of 100. The company works 250 days per year. Ten days lead time is required to schedule, wait for a machine and set up for a production run. The cost to initiate a production run is approximately $200, and the holding cost for each unit of this product is $0.25 per year. a) Determine the optimal production quantity for this item. b) What is the annual total ordering and holding cost for this component? c) Compute the reorder level that will provide a 96% service probability. 141 [3] 151 3. A special style of sweater can be purchased by a retail store for $18.25 on a one-time opportunity. The store plans to offer the sweater at a retail price of $34.95 during the season. Any sweaters not sold at the end of the season will go on sale at 75% off the retail price. It is estimated that the demand for this item at this location will have a normal probability distribution with a mean of 200 and a standard deviation of 70. How many of these sweaters should the store stock? [8]