作者SONGya168 (Terrence)
看板Grad-ProbAsk
标题[问题] 作业研究模式问题
时间Sat Apr 11 10:25:16 2009
请各位可否帮我看以下的题目,我建立的模式有没有错好吗?谢谢
1.
Alumco manufactures aluminum sheets and aluminum bars. The maximum production
capacity is estimated at either 800 sheets or 600 bars per day. The maximum
daily demand is 550 sheets and 580 bars. The profit per ton is $40 per sheet
and $35 per bar. Determine the optimal production mix.
以下是我建立的模式,但这题我不太会建立
Defined
X : Tons produced daily of aluminum sheets.
Y : Tons produced daily of aluminum bars.
Let
Maximize z = 40X + 35Y
Subject to
X ≦ 800 ? X ≦ 550 ?
Y ≦ 600 ? Y ≦ 580 ? 这里我不确定
X,Y ≧ 0
2.
The Continuing Education Division at the Ozark Community College offers a
total of 30 courses each semester. The courses offered are usually of two
types: practical, such as woodworking, word processing. and car maintenance;
and humanistic, such as history, music, and fine arts. To satisfy the demand of
the community, at least 10 courses of each type must be offered each semester.
The division estimates that the revenues of offering practical and humanistic
courses are approximately $1500 and $1000 per course, respectively. Please
devise an optimal course offering for the college.
以下是我建立的模式,请各位帮我看看有没有错误
Defined
X : The number of course about practical.
Y : The number of course about humanistic.
Let
Maximize z = 1500X + 1000Y
S.T.
X+Y ≦ 30
10 ≦ X ≦ 30
10 ≦ Y ≦ 30
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