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Q. One of your Taiwanese suppliers has bid on a new line of molded plastic parts that is currently being assembled at your plant. The supplier has bid $0.10 per part, given a forecasted demand of 200,000 parts in year 1; 300,000 in year 2; and 500,000 in year 3. Shipping and handling of parts from the supplier's factory is estimated at $0.01 per unit. Additional inventory handling charges should amount to $0.05 per unit. Finally, administrative costs are estimated at $20 per month. Although your plant is able to continue producing the part, the plant would desire to invest in another moulding machine, which would cost $10,000. Direct materials can be purchased for $0.05 per unit. Direct labour is estimated at $0.03 per unit plus a 50 percent surcharge for benefits; indirect labour is estimated at $0.011 per unit plus 50 percent benefits. Up-front engineering and design costs will amount to $30,000. Finally, management has insisted that overhead be allocated if the parts are made in-house at a rate of 100 percent of direct labour cost. The firm uses a cost of capital of 15 percent per year. Illustrate what should you do, continue to produce in-house or accept the bid from your Taiwanese supplier?
Propose a linear goal programming model that can be employed to determine the number of each kind of facility to be constructed to best achieve the goals of Santa Ana City Parks and Recreation Department and determine the optimal facility developm..
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