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Maximize, Z 300x1 + 500x2

The document describes a truck manufacturing company that makes two types of trucks. It formulates a linear program to maximize profit by determining the optimal number of each truck type to produce given painting and assembly shop constraints.

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Urbi Roy Barman
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31 views3 pages

Maximize, Z 300x1 + 500x2

The document describes a truck manufacturing company that makes two types of trucks. It formulates a linear program to maximize profit by determining the optimal number of each truck type to produce given painting and assembly shop constraints.

Uploaded by

Urbi Roy Barman
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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Truckco manufactures two types of trucks: 1 and 2.

Each truck must go through the painting s


completely devoted to painting Type I trucks, then 800 per day could be painted; if the paintin
trucks, then 700 per day could be painted. If the assembly shop were completely devoted to ass
assembled; if the assembly shop were completely devoted to assembling truck 2 engines, then 1
contributes $300 to profit; each Type 2 truck contributes $500. formulate an LP that will maxi

Maximize, Z= 300x1 + 500x2


Constraints
(1/800)x1+ (1/700)x2 <=1 Paint shop constraint
700x1+800x2<=560000
7x1+8x2<=5600

(1/1500)x1+ (1/1200)x2<=1 Assemble shop constraint


1200x1+1500x2<=1800000
12x1+15x2<=18000

x1, x2>=0
Decision Variable,

Data LHS RHS Max


X1 X2
Constr1 7 8 5600
Constr2 12 15 18000

c1 c2
obj. fn. Coeff 300 500 Range of optimality

Model
X1 X2
Decision Variable - 700.00 Optimal Solution

obj. Fn 350,000.00 300X1+500X2 Optimal obj. fn value

LHS RHS
Constrain1 5,600 <= 5600 7X1+8X2<=5600 B6*$B$16+C6*$C$16
Constrain2 10,500 <= 18000 12X1+15X2<=18000B7*$B$16+C7*$C$16
o through the painting shop and assembly shop. If the painting shop were
e painted; if the painting shop were completely devoted to painting Type 2
mpletely devoted to assembling truck 1 engines, then 1,500 per day could be
truck 2 engines, then 1,200 per day could be assembled. Each Type 1 truck
te an LP that will maximize Truckco’s profit.

300X1+500X2

st
7X1+8X2<=5600
12X1+15X2<=18000
X1, X2≥ 0

B6*$B$16+C6*$C$16
B7*$B$16+C7*$C$16

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