数学不等式题目:某森林出现火灾,火势正以每分钟100M05的速度顺风蔓延,

2025-04-14 20:03:47
推荐回答(1个)
回答1:

应该拍x名消防队员前去救火设灭火时间为t分钟,则100*(5+t)=50x*t解得t=10/(x-2)总损失费用W=125x*t+100x+60*100t=(125x+6000)t+100x=(125x+6000)*10/(x-2)+100x=1250*(x+48)/(x-2)+100x=1250*(x-2+50)/(x-2)+100x=1250+1250*50/(x-2)+100x=1450+1250*50/(x-2)+100(x-2)>=1450+2根号下(1250*50*100)=1450+2*2500=6450当1250*50/(x-2)=100(x-2)时取等号此时x=27答:应该拍27名消防队员前去救火,才能使总损失最少,为6450元