解:設(shè)購買甲種雞苗?$x$?只,那么購買乙種雞苗?$(2000-x)$?只.
?$(1)$?根據(jù)題意列方程,得
?$2x+3(2000-x)=4500$?
解得,?$x=1500$?
則?$2000-x=500$?
答:甲、乙兩種雞苗分別購買了?$1500$?只、?$500$?只
?$(2)$?根據(jù)題意,得
?$2x+3(2000-x)\leqslant 4700$?
解得,?$x\geqslant 1300$?
答:應選購甲種雞苗至少?$1300$?只
?$(3)$?設(shè)購買這批雞苗的總費用為?$y$?元
根據(jù)題意,得
?$y = 2x+3(2000-x) =-x+6000$?
又由題意,得
?$94\%x+99\%(2000-x)\geqslant 2000×96\%$?
解得,?$x\leqslant 1200$?
當?$x=1200$?時,總費用?$y$?最少,此時?$y=-1200+6000=4800$?
乙種雞苗為:?$2000-1200= 800($?只)
即購買甲種雞苗?$1200$?只,乙種雞苗?$800$?只時,這批雞苗的成活率不低于?$96\%,$?
且買雞苗的總費用?$y$?最少,最少總費用為?$4800$?元