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Sales forecasts for a certain product for the first 6 months of 2012 are given in the following:
Production can be increased from 1 month to the next at a cost of $5 per unit, by hiring new workers. Production can also be decreased at a cost of $3 per unit by laying off existing workers. Inventory is limited to 7000 units due to warehouse capacity. Storage cost is estimated at $3 per unit per month based on the end of the month inventory. December 2011 production is set at 2000 units and the expected inventory at the end of December 2011 is 1000 units. The company does not allow shortages and the demands must be met every month. The company would like to have an inventory of 3000 units at the end of June 2012. The problem is to determine the production schedule for the first 6 months of 2012 that will minimize the total cost of production changeovers and storage. Formulate this as a LP problem as follows:
(a) Define your variables clearly.
(b) Write out the linear constraints that must be satisfied, briefly explaining the significance of each.
(c) Write out the linear objective function that must be minimized.
A closed rigid tank contains 2kg of saturated water vapor initially at temperature of 433K. Heat transfer occurs from the system and the pressure drops to 150kPa. Determine the amount of heat loss by the system.
A pendulum consists of a slender rod, AB, of weight Wr= 8.60 lb and a wooden sphere of weight Ws= 21.7 lb .(Figure 1) The length of the rod is d = 7.70 ft and the radius of the sphere is R = 0.500 ft .
A square building (15 m × 15 m in plan) is to be constructed on a site where the soil profile consists of 3m of clay with an over-consolidation ratio that varies from 5 at the surface to 2 at 3m overlying a 5m thick clay
The floor of an apartment building shown in fig. P2.3, is subjected to a uniformly distributed load of 45 psf over its surface area. Determine the loads acting on the floor beams AF, BG, and CH, and the girders AC and FH, of the framing system
Identify the slip systems with the same Schmid factor
A call with a strike price of $60 costs $6. A put with the same strike price and expiration date costs $4. Construct a table that shows the profit from a straddle. For what range of stock prices would the straddle lead to a loss?
Using the following assumptions, determine the solids retention time, the cell wastage flow rate, and the return sludge flow ratefor the Jambalaya shrimp processing plant WWTP
How to calculate the principle of shoring system in formwork analysis when the secondly floor upper has been poured?
Take the ambient conditions to be 265 K and 85 kPa.
Find the required depth y as a function of the length x in order for all sections to be equally effective in their resistance to bending
Construction dewatering plays are very large role in the todays construction arena. Discuss the role water conditions plays in the planning and design of a temporary earth support system.
Determine the required dimensions. The inside diameter is to be two- thirds of the outside diameter. The allowable shearing stress is 70 MPa, and the angle of twist is not to exceed 4 degree in 3 m of the shaft.
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