The Research Of Mathematical Model About The Origin Pricing Of Gannan Navel Oranges Planted On A Large Scale

In fruit industry, whether the sales of one fruit went smoothly or achieve good economicefficiency both are decided by a reasonable pricing, which is also influence the profits that growerscan obtain, the competitiveness of the fruit and its future development. Therefore, how todetermine a reasonable price is one of the questions that growers most concerned. While thegrowing of navel oranges is an activity with large investment and high risks. So the pricing ofnavel oranges determines the growers’ security income. To reduce the blindness of pricing, avoidthat growers are controlled by dealers, determining a equitable price of navel oranges in the placeof origin is benefit to protecting growers’ earnings and acquiring the most profits.In this paper, Gannan navel oranges are used as the object of research, whose sales time aredivided into three stages. The model starts from the qualitative relationship between sales volumeand selling prices, to obtain their mathematical relationships by fitting combined with MATLAB.Establish pricing model in order to achieve maximize profits, get different prices in the place oforigin in different stages about navel oranges and the corresponding sales price.Firstly, a simple model is created on the basis of the method of cost-plus focuses the naveloranges that just picked by considering the average production cost in a unit area. Estimate theprofit margin of unit mass of navel oranges reasonably, establish pricing model for obtainingexpected profit, and get the final price after the analysis of a numerical example.Secondly，the paper divides the sales time of navel oranges into three stages, analyze the costof production the major cost and the market demand in different stages. Consider from twodifferent aspects: the costs and sales, establish pricing model in order to achieve maximize profits.Combined with the actual data, analyze the correlation among different factors that influence theprice and the price of navel oranges. Obtain the sales function about the price and the final prices inthree different stages by analyzing a numerical example.The main results of this study were described as follows:1. The price ranges between3.5per kilogram and5.5per kilogram through solving the simplemodel on the basis of the method of cost-plus.2. The greatest impacted factor to the price is the output of navel oranges. 3. The reasonable price is ranges between2per kilogram and4per kilogram, in the first stagethe price is the highest, the price a second higher in the second stage and the price is the lowest inthe third stage.The model is a pricing model about the navel oranges in the place of origin in different stages,obtain mathematical relationships between sales volume and selling prices by fitting combinedwith MATLAB, which has a certain value that can reference to. However, because of theinstability of the influencing factors and the lack of relevant data, the fitting function influence themodel most, so that it made the model to have some limitations．...