管理决策模型与方法期末大作业 (2).doc

零售价格：R批发价格：W 惩罚成本：L供应商成本：C残值：S订货数量：Q实际零售需求：d零售需求密度：f(d)需求分布：F（D）W=40 S=10 R=100 L=201：求Q 和预期利润 E（profit）服从均匀分布 = f（x）=1/100000E(sales)=Q=Q=Q-+=Q-Retailers profit=(R-S+L)*E(sales)-(W-S)*Q=(100-10+20)*E(sales)-(40-10)*Q=110(Q-)-30Q=-+80QE(profit)=- +80=0 =80 Q=8000000/110 Q=72727.27 E(profit)=- +80=2909090.9092:广告项目10万 销售需求 250007500025000x f(x)= E(sales)=+25000 =+25000 =+25000 =+25000 =-+-6250+25000 =-+1.5Q+18750E(profit)=110E(sales)-30Q-100000 =110(-+1.5Q+18750)-30Q-100000 =-+165Q+2062500-30Q-100000 =-+1350+1962500E(profit)= +135=0 Q=61363.63E(profit)= +13561363.63+1962500 =-414204.4595+8284090.05+1962500 =6104545.455所以这和广告是个好主意 ，订货量为61363.63下面考虑渠道利润，里永远是需求数据假设C=253：P=50 求最佳批发价格 是否能够接受P=30时如何？ 供应商会同意有20或更低的利润共享吗？ 1-P=50 Q*chanel=Q*retailerP=W-50=W- W=13.63Retailers profit=(PR-S+L) E(sales)-(W-S) Q E(sales)=Q-Retailers profit=(50-10+20) (Q-)-（14-10）Q =60Q-4Q =-+56QE(profit)= +56=0 Q=93333.3retailers profit=2613333.3 Q=92500retailers profit =+74925 00 =34225002909090.909it is a acceptable wholesale and the wholesale is 16. 1-P=20 P=80a wholesale contract F suppliers profit =(W-S) Q =(40-25) 72727.27 =1090909.05b. revenue sharing F suppliers profit=(W-S)Q+RE(sales) 80=P=W-0.5 =W=17.73 Retailers profit =(PR-S+L)E(sales)-(W-S)Q =(80-10-20)(Q-)-(18-10)Q =90Q-80Q =-+82Q E(sales)=- +82=0 Q=91111.11 E(sales)=(Q-)=49604.9suppliers profit =(18-25) 9