# 查看完整版本 : 線性規劃(LP)

ryan468 2015-9-19 06:11 PM

## 線性規劃(LP)

[font=Tahoma]Hello!!各位好!!關於條題,有啲地方唔太明,希望各位幫幫小弟[/font]
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The Quality Desk Company makes twotypes of computer desks from laminated particle board. The Presidential modelrequires 30 square feet of particle board, 1 keyboard sliding mechanism, 5hours of labor to fabricate, and sells for \$149. The Senator model requires 24square feet of particle board, 1 keyboard sliding mechanism, 3 hours of laborto fabricate, and sells for \$135. In the coming week, the company can buy up to15,000 square feet of particle board at a price of[color=red]\$1.35 [/color]per square foot and up to 600 keyboard sliding mechanismsat a cost of [color=red]\$4.75 [/color]each. The company views manufacturing labor as a fixed costand has 3,000 labor hours available in the coming week for the fabrication ofthese desks.

a.
Formulate an LPmodel for this problem.
b.
Sketch the feasibleregion for this problem.
c.
What is the optimalsolution?[/font][font=Tahoma][/font]
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[font=Tahoma][/font][font=Tahoma]我Formulate左個LP出黎[/font]
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[font=Tahoma][/font][font=Tahoma]let X1=number of Presidential model    X2=Senator Model

MAX: 149X1+135X2

Constraints:30X1+24X2<=15,000
X1+X2<=600
5X1+3X2<=3,000
X1,X2>=0[/font][font=Tahoma][/font]
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[font=Tahoma][/font][font=Tahoma]我想問下我咁做正確嗎?

[[i] 本帖最後由 ryan468 於 2015-9-19 06:15 PM 編輯 [/i]]

iamnotaboy 2015-9-20 12:17 AM