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(10) B(x)=-15x^(2)+450 x+325Sol:- B^(')(x)=(d)/(dx)[B(x)]{:[B^(')(x)=(d)/(dx)[-15x^(2)+450 x+325]],[B^(')(x)=-30 x+450]:}To get maximum or minimum, B^(')(x)=0{:[-30 x+450=0],[-30 x=-450],[x=(450)/(30)=15],[x=15]:}If x=0 for 1983 and x=1 for 1984So x=15 for 1999:. the year to git maximm is 1rag and Maximun Value is B(15)=370 ... See the full answer