Question
In: Statistics and Probability
Solve the following transportation problem: A company has refinery plants that produce gasoline with the following...
- Solve the following transportation problem: A company has refinery plants that produce gasoline with the following capacities
- Houston: 27000 gallons per day
- New Mexico: 35000 gallons per day
The company supplies the following states:
- California: 32000 gallons per day
- Louisiana: 12000 gallons per day
- Mississippi: 15000 gallons per day
Following are the transportation costs per gallon between each refinery and each customer.
|
Distribution centers |
|||
|
Plants |
California |
Louisiana |
Mississippi |
|
Houston |
0.75 |
0.40 |
0.65 |
|
New Mexico |
0.50 |
0.70 |
0.80 |
- Build a transportation network
- Write down a linear program that optimizes transportation
- Solve the lp and explain its solution
Solutions
orchestra answered 1 year agoRelated Solutions
Solve the following transportation problem: A company has refinery plants that produce gasoline with the following...
Solve the following transportation problem: A company has
refinery plants that produce gasoline with the following
capacities
Houston: 27000 gallons per day
New Mexico: 35000 gallons per day
The company supplies the following
states:
California: 32000 gallons per day
Louisiana: 12000 gallons per day
Mississippi: 15000 gallons per day
Following are the transportation costs
per gallon between each refinery and each customer.
Distribution centers
Plants
California
Louisiana
Mississippi
Houston
0.75
0.40
0.65
New Mexico
0.50
0.70
0.80
Build a transportation...
Tanura Co. is building a refinery to produce four products: diesel, gasoline, lubricants, and jet fuel....
Tanura Co. is building a refinery to produce four products:
diesel, gasoline, lubricants, and jet fuel. The minimum demand (in
bbl/day) for each of these products is 14.000, 30.000, 10.000, and
8.000, respectively. Oman and Dubai are under contract to ship
crude to Tanura Co. Because of the production quotas, the new
refinery can receive at least 40% of its crude from Oman and the
remaining amount from Dubai. The specifications of the two crude
oils lead to different product...
Consider the following transportation problem. Formulate this problem as a linear programming model and solve it...
Consider the following transportation problem. Formulate this
problem as a linear programming model and solve it using the MS
Excel Solver tool.
Shipment Costs ($), Supply, and
Demand:
Destinations
Sources
1
2
3
Supply
A
6
9
100
130
B
12
3
5
70
C
4
8
11
100
Demand
80
110
60
(4 points) Volume Shipped from Source A __________
(4 points) Volume Shipped from Source B __________
(4 points) Volume Shipped from Source C __________
(3 points) Minimum...
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...
Create a transportation problem Select an initial feasible solution ( any method). Solve the transportation problem...
Create a transportation problem
Select an initial feasible solution ( any method).
Solve the transportation problem using the method of
multipliers.
Solve this linear programming (LP) problem using the transportation method. Find the optimal transportation plan and...
Solve this linear programming (LP) problem using the
transportation method. Find the optimal transportation plan and the
minimum cost. (Leave no cells blank - be certain to enter
"0" wherever required. Omit the "$" sign in your
response.)
Minimize
8x11
+
2x12 + 5x13 +
2x21 + x22
+ 3x23 +
7x31 + 2x32 +
6x33
Subject to
x11 + x12 +
x13
=
90
x21 + x22 +
x23
=
105
x31 + x32 +
x33
=
105
x11...
Petro Refinery, Inc., located in Houston, TX, has separate divisions for “Unleaded Gasoline” and “Jet Fuel”....
Petro Refinery, Inc., located in Houston, TX, has separate
divisions for “Unleaded Gasoline” and “Jet Fuel”.
The variable costs are as follows:
■ Unleaded Gasoline division: $1.75
per gallon of unleaded gasoline
■ Jet Fuel division: $1.95 per gallon
jet fuel
Assume that there is no loss in processing unleaded gasoline
into jet fuel. Unleaded Gasoline can be sold at $2.25 per gallon.
Jet Fuel can be sold at $3.95 per gallon.
Required:
Should Petro Refinery process the unleaded gasoline...
A manager is applying the Transportation Model of linear programming to solve an aggregate planning problem....
A manager is applying the Transportation Model of linear
programming to solve an aggregate planning problem. Demand in
period 1 is 100 units, and in period 2, demand is 150 units. The
manager has 125 hours of regular employment available for $10/hour
each period. In addition, 50 hours of overtime are available for
$15/hour each period. Holding costs are $2 per unit each period. a.
How many hours of regular employment should be used in period 1?
(Assume demand must...
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