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A certain optical instrument is being designed to selectively provide radiation over the spectrum from about 3500 to 6400 Angstrom units. To cover this optical range, a range of chemicals must be incorporated into the design. Each chemical provides coverage of a certain range. A list of the available chemicals, the range each covers, and its relative cost is provided below. Range Covered in Angstroms Chemical
Lower Limit ,Upper Limit ,Relative Cost
PBD 3500 3655 4
PPO 3520 3905 3
PPF 3600 3658 1
PBO 3650 4075 4
PPD 3660 3915 1 POPOP 3900 4449 6 A-NPO 3910 4095 2 NASAL 3950 4160 3 AMINOB 3995 4065 1 BBO 4000 4195 2 D-STILB 4000 4200 2 D-POPOP 4210 4405 2 A-NOPON 4320 4451 2 D-ANTH 4350 4500 2 4-METHYL-V 4420 5400 9 7-D-4-M 4450 4800 3 ESCULIN 4450 4570 1 NA-FLUOR 5200 6000 9 RHODAMINE-6G 5600 6200 8 RHODAMINE-B 6010 6400 8 ACRIDINE-RED 6015 6250 2 What subset of the available chemicals should be chosen to provide uninterrupted coverage from 3500 to 6400 Angstroms?
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