Question
In: Advanced Math
3. Given the following maximum problem, set up the initial simplex tableau and circle the first...
3. Given the following maximum problem, set up the initial simplex tableau and circle the first pivot element.
Do not solve the maximum problems
MAXIMIZE : P = 3x1+2x2+3x3 subject to constraints : -x1+2x2+2x3<=8 4x1-x2+6x3<=10 x1+2x2+4x3<=12, x1>=0, x2>=0, x3>=0
Solutions
Colby Messinger answered 2 years agoRelated Solutions
given the initial simplex tableau (Matrix): x y s1
given the initial simplex tableau (Matrix):
x
y
s1
s2
p
6
9
1
0
0
300
5
4
0
1
0
180
-3
-4
0
0
1
0
Show the matrices produced by each pivot
For the following Linear Programming problem, use the Simplex Approach to construct the starting simplex tableau:...
For the following Linear Programming problem, use the Simplex
Approach to construct the starting simplex tableau:
Maximize ???? = P = 4 X + 5 Y
Subjected to: 3 X + 5 Y ≤ 20
X + Y ≤ 6
X, Y ≥ 0
Then apply Gauss-Jordan computations to determine the new basic
solution and find the Optimum Solution?
Write down the initial simplex table for the following problem. Find the first pivot column and...
Write down the initial simplex table for the following problem.
Find the first pivot column and the first pivot. Do not complete
the simplex algorithm.
A department store has up to 16000TL to spend on television
advertising for sale. All ads will be placed with one television
station. A 30-second ad costs 1000TL on daytime TV and is viewed by
14000 potential customers, 1800TL on prime-time TV and is viewed by
18000 potential customers, and 1500TL on late-night TV and...
Given the following information set up the problem in a transportation table and solve for the...
Given the following information set up the problem in a
transportation table and solve for the minimum-cost plan:
PERIOD
1
2
3
Demand
550
700
750
Capacity
Regular
500
500
440
Overtime
50
50
50
Subcontract
120
120
100
Beginning
inventory
100
Costs
Regular
time
$
60 per unit
Overtime
$
80 per unit
Subcontract
$
90 per
unit
Inventory...
Given the following information set up the problem in a transportation table and solve for the...
Given the following information set up the problem in a
transportation table and solve for the minimum-cost plan:
PERIOD
1
2
3
Demand
550
700
750
Capacity
Regular
500
500
440
Overtime
50
50
50
Subcontract
120
120
100
Beginning inventory
100
Costs
Regular time
$
60 per unit
Overtime
$
80 per unit
Subcontract
$
90 per unit
Inventory carrying cost
$
1 per unit per
month
Back-order cost
$
3 per unit per
month
Suppose that an inventory...
Given the following information set up the problem in a transportation table and solve for the...
Given the following information set up the problem in a
transportation table and solve for the minimum-cost plan:
PERIOD
1
2
3
Demand
550
700
750
Capacity
Regular
500
500
440
Overtime
50
50
50
Subcontract
120
120
100
Beginning inventory
100
Costs
Regular time
$
60 per unit
Overtime
$
80 per unit
Subcontract
$
90 per unit
Inventory carrying cost
$
1 per unit per
month
Back-order cost
$
3 per unit per
month
Suppose that an inventory...
Use the simplex method to solve the linear programming problem. The maximum is ___ when x1=...
Use the simplex method to solve the linear programming problem.
The maximum is ___ when x1= ___ and x2=___
a.)
Maximize : z= 24x1+2x2
Subject to: 6x1+3x2<=10, x1+4x2<=3
With: x1>=0, x2>=0
b.)
Maximize: z=2x1+7x2
Subject to: 5x1+x2<=70, 7x1+2x2<=90, x1+x2<=80
With: x1,x2>=0
c.)
Maximize: z=x1+2x2+x3+5x4
Subject to: x1+3x2+x3+x4<=55, 4x+x2+3x3+x4<=109
With: x1>=0, x2>- 0, x3>=0, x4>=0
d.)
Maximize: z=4x1+7x2
Subject to: x1-4x2<=35 , 4x1-3x2<=21
With: x1>=0, x2>=0
Solve the following problem using both graphical method and Simplex tableau Maximize f(x,y)=5x+4y subject to 3x+5y<=180...
Solve the following problem using both graphical method and
Simplex tableau
Maximize f(x,y)=5x+4y subject to 3x+5y<=180 where 28 => x
=> 0 and 30=> y=>0
5. Solve the following differential equation using the given initial conditions (Use convolution and set up the...
5. Solve the following
differential equation using the given initial conditions (Use
convolution and set up the integral but do not integrate.)
y'’
− 2y’ + 2y =
18e−t
sin3t; y(0)
= 0, y’(0) = 3
Big-M (describe process up to initial tableau and how to recognize if infeasible) careful to distinguish...
Big-M (describe process up to initial tableau and how
to
recognize if infeasible) careful to distinguish between Max LP
and
a Min LP
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