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Objective To maximize profit
Profit Profit Alpha + Profit beta
sale of Product +
Assumtion is produced means sold
Production +
Explain in Mathematical form
Profit = A's Profit + B's profit= Pa*sa + Pb*Sb= Pa*Xa + Pb*Xb
Testing = 1*Xa + 1*Xb
<= 120
Assembling = 10*Xa + 15*Xb
<=2000
desktop Xa 120 Pa 350laptop Xb 0 Pb 470Workstation Xc 40 Pc 610
Aline 120Cline 40 Testing ALabour hours 2000 C
Labour hours
Shadow price With increase in 1 unit of labour hour how much my profit is increasing or decreasingHere it is 30.5 by changing labour hour to 2001 from 2000
If sharing is allowed I can give you A-line testing but you'll have to purchase 100 units
Upto 45 we are gettin
Maximize sale of Alpha
Maximize sale of beta
Maximize Production of Alpha
Maximize Production of beta
Part BTesting = 1*Xa + 1*Xb
<= 120
Assembling = 10*(Xa+Xa') + 15*Xb
<=2000
desktop Xa 120 Pa 350laptop Xb 0 Pb 470Workstation Xc 36 Pc 610desktop in Cline Xa' 8.0
Aline 120Cline 48Labour hou 2000
Part CTesting = 1*Xa + 1*Xb
<= 120
Assembling = 10*(Xa+Xa') + 15*Xb
<=2000
desktop Xa 121 Pa 350laptop Xb 0 Pb 470Workstation Xc 39.5 Pc 610
Aline 121Cline 39.5Labour hou 2000
+ Profit gamma
+
+
Pa Profitability of A 350Pb 470
+ C's Profit Pc 610+ Pc*Sc Sa No. of A Sold+ pc*Xc Xa No. of A produced
+ 1*Xc
<=48
+ 20*Xc
Profit 6640070030.5 3630.5
available used Left over120 120 0 Scarce profitability for scarce resorce should be prioratized
48 40 8 surplus
2000 2000 0 Scarce
With increase in 1 unit of labour hour how much my profit is increasing or decreasingHere it is 30.5 by changing labour hour to 2001 from 2000
I can give you A-line testing but you'll have to purchase 100 units
Maximize sale of Gamma
Maximize Production of gamma
+ 1*Xc+1.5*Xa'
<=48
+ 20*Xc
Profit 66760
+ 1*Xc+1.5*Xa'
<=48
+ 20*Xc
Profit 66445
With 1 unit increase in A line profit changes by 45
profitability for scarce resorce should be prioratized
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