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《Data, Models and Decisions》Practice 2 Operations at CONLEY fisheries   

2008-05-10 17:05:41|  分类: 默认分类 |  标签: |举报 |字号 订阅

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PROBLEM:

Each boat leaves early in the morning, fishes for most of the day, and completes its catch of codfish (3500lbs.of codfish) by mid-afternoon.

The boat then has a number of ports where it can sell its daily catch.

The price of codfish at some ports is very uncertain and can change quite a bit even on a daily basis. Also , the price of codfish tends to be different at different ports.

Furthermore, some ports have only limited demand for codfish, and so if a boat arrives relatively later than other fishing boats at that port, the catch of fish cannot be sold and so must be disposed of in ocean waters.

Assume that Conley Fisheries only operates one boat,

And that the daily operating expenses of the boat are $10,000 per day.

Also assume that the boat is always able to catch all of the fish that it can hold, which is 3500lb. Of codfish.

There are 2ports Gloucester and Rockport in Massachusetts

Gloucester: $3.25/lb.

      this price has been stable for quite some time.

                  G=3.25*3500-10000=1375($)   

Daily demand in Rockport faced by Conley Fisheries

 需求量

(鳕鱼的重量:磅)                   概率

0                                 0.02

1000                              0.03

2000                              0.05

3000                              0.08

4000                              0.33

5000                              0.29

6000                              0.20

                                  1.00

The daily price of codfish in Rockport is Normally distributed with a mean of μ=$3.65/lb. and with a standard of deviation of σ=$0.20/lb.

请给出如下分析:

1、  到那里去卖鱼?Gloucester or Rockport?

2、  模拟100天分别在两个港口的盈利。

3、  画出Rockport港的鳕鱼需求量及其分布图。

4、  画出Rockport港的鳕鱼价格及其分布图。

 

 

 

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