题干

已知某企业原有员工2000人,每人每年可为企业创利润3.5万元.为应对国际金融危机给企业带来的不利影响,该企业实施“优化重组,分流增效”的策略,分流出一部分员工待岗.为维护生产稳定,该企业决定待岗人数不超越原有员工的5%,并且每年给每位待岗员工发放生活补贴0.5万元.据评估,当待岗员工人数x不超过原有员工的1%时,留岗员工每人每年可为企业多创利润(1﹣ 81100
x
))万元;当待岗员工人数x超越原有员工的1%时,留岗员工每人每年可为企业多创利润0.9595万元.为使企业年利润最大,应安排多少员工待岗?
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答案(点此获取答案解析)

解:设应安排x位员工待岗,年利润为y万元;
故0<x≤2000×5%=100;
①当0<x≤20时,
y=(2000﹣x)(3.5+1﹣ 81100
x
)﹣0.5

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