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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.
After initial mixing, the DO concentration in the river is 9.5mg/L and the temperature is 15ºC. If the ultimate BOD of the mixed river water is 30mg/L,
What uniform annual series of cash flows over a 12-year period is equivalent to an investment of $5,000 at t= 0, followed by receipts of $600 per year for 11 years and a final receipt of $1,600 at t= 12 of the investor's time value of money is 6% ..
A 45 W electric mixer is operated for 5 minutes while mixing a 2 kg shake. Assume Csubv=4200 J/kg-K for the liquid. Determine the temperature rise (in degrees C) of the milk shake.
effect of acidic water on strength of soil used to store the water. the reduction in strength at various acidic ph
A compressor pressurizes air from 1 atm to 2.38 atm at steady state. At the entry the air's temperature is 70F, whereas at the exit it has quadrupled (in degrees F). At the entry the air's volumetric flow rate is 17 ft3/s
Types of validity checks include an alphabetic check, a numeric check, a range check, a consistency check, a completeness check, and a check digit.
A rectangular gate is inclined at an angle of 30 degrees from the horizontal. It is 4 ft wide by 6 feet long. If it is hung from its upper end which is 8 feet below the waters top edge, what minimum applied force (bottom) is needed to open the gat..
If the coefficient or restitution is e = 0.1, express the speeds υA and υB of the two cars at the end of the impact in terms of p and v. Evaluate your expressions for p = 0.5.
Determine D10, D30, and D60Effective grain size c. Cu d. Cz Sieve Number Opening (mm) Mass of soil retained (g) No. 4 4.750 28 No. 10 2.000 42 No. 20 0.850 48 No. 40 0.425 128 No. 60 0.250 221 No. 100 0.150 86 No. 200 0.075 40 Pan 24
A chemical plant produces a process wastewater that contains a relatively high concentration of a small number of nontoxic organic compounds, but very low concentrations of solids or salts. It has no odor.
Assuming that the coefficient of friction between the tires and the pavement is 0.30, determine the braking distance downhill and the percent grade of the highway at that section of the road.
Evaporation from a nearby lake was 8 in. during June. It is estimated that 25 percent more will evaporate from the pool than the lake. On July 1, the pool is 5 inches below the top. Does the pool have a leak? If so, what is the rate of leakage in gal..
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