[1]化存才.商品购销中的浮动价格与二次需求函数模型[J].南京师范大学学报(工程技术版),2006,06(01):033-37.
　HUA Cuncai.Mathematical Models for Floating Price in Purchase and Sale of Commodity and for a Quadratic Function of Demand[J].Journal of Nanjing Normal University(Engineering and Technology),2006,06(01):033-37.
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商品购销中的浮动价格与二次需求函数模型
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南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
06卷
期数:
2006年01期
页码:
033-37
栏目:
出版日期:
2006-03-30

文章信息/Info

Title:
Mathematical Models for Floating Price in Purchase and Sale of Commodity and for a Quadratic Function of Demand
作者:
化存才;
云南师范大学数学学院 云南昆明650092
Author(s):
HUA Cuncai
School of Mathematics,Yunnan Normal University,Kunming 650092,China
关键词:
商品;  浮动价格;  数学模型
Keywords:
comm odity;  floa ting pr ice;  m athem atica lm ode l
分类号:
F224
摘要:
研究了商品购销中的浮动价格和需求函数模型问题.首先,给出了价格上浮的充分条件和价格保持的必要条件;基于使销售收益损失达到极小的原则,给出一种折扣定价策略:当需求函数的凸性较小时,可选择使需求量达到极大值的价格作为标准销售价和一个与需求量无关的最大折扣率.其次,提出了一个二次需求函数模型,从而得到了使销售量和利润都增加的标准价格;还得到了在二次需求函数下使利润最大的价格,它大于使销售量达到最大的价格.最后,通过纯净水的销售实例对结果进行了验证.
Abstract:
In th is paper, m athema tica lm odels are investigated for floa ting price of purchase and sale o f comm od ity and for a dem anding func tion. At first, a sufficien t cond ition for floa ting-up the price and a necessary condition for preserv ing the pr ice a re bo th g iven; a stra tegy for discounting prices is g iven on the bas is of a princ ip le tha t the loss of incom e for sa le a tta ins its m in im al va lue. That is to say, both them ax im a l ra te for discounting pr ices tha t is independent of the dem anding quantity and the standard pr ice fo r sa le o f commod ity can be chosen if the conv ex ity is sm a ll and the dem anding quantity attains its m ax im a l va lue. Secondly, a quadra tic- function model o f dem and is present. Therefore a standa rd price tha t m ay increase the dem anding quantity and pure pro fits is obta ined. Furtherm ore, a pr ice at wh ich the pure pro fit atta ins its max im um is a lso obta ined. This price is larger than the price a tw hich the dem anding quantity attains its m ax im um. Fina lly, the resu lts are ver ified by an exam ple in the sa le of the pur ified w ater.

参考文献/References:

[ 1] 姜启源. 数学模型[M ]. 3版. 北京: 高等教育出版社, 2003.
JIANG Q iyuan. M athem atica lM ode ls[M ]. 3rd ed. Be ijing: H igher-Education Press, 2003. ( in Chinese)
[ 2] 韩晓军, 陈秋双. 供应链中的买卖协调及数量折扣定价模型[ J]. 天津纺织工学院学报, 2000, 19( 6): 40-42.
HAN Xiao jun, CHEN Q iushuang. Buyer-selle r coord ination and quantity discount pricingm ode l in the supply- cha in[ J]. Journa l o f T ianjin Institu te o f Tex tile Science and Techno logy, 2000, 19( 6): 40-42. ( in Ch inese)
[ 3] 马祖军. 供应链中的供需协调及数量折扣定价模型[ J] . 西南交通大学学报: 自然科学版, 2004, 39( 2): 185-188.
MA Zujun. Vendor-purchaser coord ination and quantity d iscoun t pr icing m odel in supply cha in [ J]. Journa l o f SouthW est Jiao tongUn ive rsity: Nature Sc ience, 2004, 39( 2): 185-188. ( in Chinese)
[ 4] 李成标. 经济批量下带有数量折扣的定价模型[ J] . 江汉石油学院学报, 1997, 19( 1): 105-107.
LI Chengb iao. A quantity d iscoun t pric ing mode l under the EOQ environment[ J]. Journal of Jianghan Petrobeum Institu te, 1997, 19( 1): 105-107. ( in Chinese)

相似文献/References:

[1]化存才.商品价格的需求概率和需求风险模型[J].南京师范大学学报(工程技术版),2006,06(03):070.
　HUA Cuncai.Probability and Risk Models of Demand for the Price of Commodity[J].Journal of Nanjing Normal University(Engineering and Technology),2006,06(01):070.

备注/Memo

备注/Memo:
基金项目:云南省引进高层次人才工作经费(2003);云南师范大学科研启动基金(2002);云南省“数学与应用数学”重点建设专业项目;云南省“金融数学”“十五”重点学科建设资助项目
作者简介: 化存才( 1964-) , 博士, 教授, 主要从事实际问题的数学模型的研究. E-m ail:cuncai- hua@ sohu. com
更新日期/Last Update: 2013-04-29