Ootimal oblective Valuo - askana ananin (a) What is the optimal solution and the total profit contribution (in s)? (b) Another supplier offered to provide Deegan Industries with an additional 500 pounds of the steel alloy at $2 per pound: Should Deegan purchaie the adi pounds of the steel alloy? Explain. Yes, there is no surplus of steel so arry additional steel that becomes available should be purchased. pounds of the steel alloy? Explain. Yes, there is no surplus of steel so any additional steel that becomes available should be purchased. Yes, the dual value for steel avalable is 8.8. Each pound of steel wal increase profis more than the 52 per pound that the suppler is afferine No, the dual value for steel avaliable is 0.6 . Each pound of steel will not increase profits enough to justify the $2 per pound that the suppler a offeing No, there is a slack value of 5,636 , so additional pounds of steel will not increase probits. No, the allowable inerease for steel is only 24 pounds, so the addicanal profits are not applicable for 500 pounds. (c) Deegan is considering using overtime to increase the avalable assembly time, What would you advise Deegan to do regarding this copton? Explain Constraint has a stack. Increasing the number of hours of assembly time will profits. this change in price affect the optimal solution? Explain, The abjective coetficient range for model DRB ahows a fower limit of s be s Thua, the optimal solution charge and the new walue in (e) If the avaitable manufacturing time is increased by 500 hours, will the dual value for the manufacturng time constraint charge? Exolan. The allowable increase is minutes, so the dual value for this conseraint change The Racing Club of America sponsors driver education events that provide high-performance driving instruction on actual race tracks. Because safety is a primary consideration at such events, many owners elect to install roll bars in their cars, Deegan Industries manufactures two types of roll bars for sports cars. Moder DRE is bolted to the car using existing holes in the car's frame. Model DRW is a heavier roll bar that must be welded to the car's frame. Model DRB requlres 20 pounds of \# special high alloy steel, 40 minutes of manufacturing time, and 60 minutes of assembly time. Model DRW requires 25 pounds of the special high alloy steel, 100 minutes of manufacturing time, and 40 minutes of assembly time. Deegan's steel supplier indicated that at most 38,000 pounds of the high-alioy steel will be available next quarter. In addition, Deegan estimates that 2,00p hours of manufacturing time and 1,800 hours of assembly time will be availabie next auarter. The profit contributions are $200 per unit for model DRB and $280 per unit for model DRW. The linear programming model for this problem is as follois: Max200DRB+280DRWs.t.200RB+250RW38,000Steelavailable40DR8+1000RW120,000Manufacturingminutes600RB+40DRW=109,000Assemblyminutes The computer solution is shown below. a,cotac Vartahts trite Altomalle hugkate
