Essay about Business Management Assignment

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2장 연습문제 B
>문제
1.K스포츠기구사는 일반 야구글러브와 캐쳐용 야구글러브를 생산한다. 글러브는 봉제공정, 마무리공정, 포장 및 수송공정을 거쳐서 생산되는데 이 회사에서 다음달에 동원할 수 있는 생산능력은 봉제공정이 900시간, 마무리공정이 300시간, 그리고 포장/수송공정이 100시간이다. 각 제품생산에 투입되는 각 공정의 생산시간과 새당 이익은 다음표와 같다. 제품 | 봉제공정 | 마무리공정 | 포장수송 | 개당이익 | 일반글러브 | 1시간 | 1/2시간 | 1/8시간 | 25,000원 | 캐쳐용 글러브 | 3/2시간 | 1/3시간 | 1/4시간 | 40,000원 |
총 이익을 최대화 할 수 있는 선형계획모형을 개발하시오.

>풀이
X1 = 일반글러브 개수, X2 = 캐쳐용 글러브 개수
Max Z = 25000X1+40000X2
ST. X1+3/2X2=<900(봉제공정) 1/2X1+1/3X2=<300(마무리공정) 1/8X1+1/4X2=<100(포장수송공정) X1, X2>=0(비음제약식)
최적해 (X1,X2) =(500,150)
최대이익 : 18,500,000원

>문제
2. 소와 염소를 기르는 농장에서는 보레토와 칼파를 섞어서 사료로 쓰고 있다. 보레토 한 부대는 10,000원이고 100단위의 칼슘과 400단위의 단백질을 갖고 있고, 칼파 한 부대는 …show more content…
따라서 X1과 X2는 빨간점에 도착할 때 까지 더 생산될 수 있다.
(다) 최적해 (X1,X2) =(50,100) 최대 생산량 = 850개

>문제
2. 제 2장 연습문제 B의 2번 문제를 생각해보자.
(가) 그래프를 이용하여 최적해를 구하시오.
Min = 10,000X1+15,000X2
ST. 100X1+200X2>=6,000(칼슘) 400X1+200X2>=12000(단백질) 2X1>=X2(칼파1부대는 최소한 보레토2부대)

>풀이 X2 (0,60)

(0,30) 2X1-X2>=0

(30,0) (60,0)
(나)

최적해(X1, X2) =(20,20)
최소 비용 : 500,000

>문제
3. G합판에서는 A,B 두 가지의 합판을 생산한다. 이 합판 생산에 소요되는 생산시간, 최소 생산필요량 및 단위당 이익은 다음 표와 같다.

제품 | 생산시간 | 1주일간의 최소생산 필요량 | 이익 | A | 0.025 | 50,000M | 3 | B | 0.040 | 40,000M | 5.5 |
이 회사의 생산능력이 주당 4,000시간으로 제한되어 있을 때 이익을 최대로 하는 생산계획을 수립하기 위한 선형계획모형을 만들고 최적의 생산계획을 그래프를 이용하여 구하시오.

>풀이
Max Z= 3X1+5.5X2
ST. 0.025X1+0.04X2<4000 X1>50000 X2>40000 X1,X2>=0

(50000,68750)
(0,40000)

(50000,0)

>문제
4. 다음의 선형계획모형을 그래프를 이용하여 풀어보시오.
(가) Max Z = X1+X2 ST. X1-X2=<2 X1-X2>=-2 X1>=0, X2>=0
(나) Max Z = 3X1+4X2 ST. X1-2X2>=4 X1+X2=<3 X1>=0, X2>=0

>풀이
(가) (0,2) (나) (0,3) (-2,0) (0,0) (2,0) (3,0)
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