[問題] 作業研究模式問題
請各位可否幫我看以下的題目,我建立的模式有沒有錯好嗎?謝謝
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,但這題我不太會建立
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 ? 這裡我不確定
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,請各位幫我看看有沒有錯誤
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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