Question
In: Statistics and Probability
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 mixes: One barrel of Oman crude
yields 0.2 bbl of diesel, 0.25 bbl of gasoline, 0.1 bbl of
lubricant, and 0.15 bbl of jet fuel. The corresponding yields from
Dubai crude are 0.1, 0.6, 0.15, and 0.1, respectively.
a. Formulate an LP that solves for the minimum capacity of the
refinery (in bbl/day) of Tanura Co. b. Solve the problem using
computer (show the computer output). c. What is the optimal
solution and what is the optimal value of the objective function?
d. Which constraints are binding? e. What will happen if the demand
of the diesel is reduced by 1,000 bbl/day? f. What will happen if
the demand of the gasoline is increased by 1,000 bbl/day?
Solutions
orchestra answered 1 year agoRelated Solutions
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...
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...
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...
On October 1, 2018, Bullseye Company sold 250,000 gallons of diesel fuel to Schmidt Co. at...
On October 1, 2018, Bullseye Company sold 250,000 gallons of
diesel fuel to Schmidt Co. at $3 per gallon. On November 8, 2018,
150,000 gallons were delivered; on December 27, 2018. Another
50,000 gallons were delivered; and on January 15, 2019, the
remaining 50,000 gallons were delivered. Payment terms are 10% due
on October 1, 2018, 50% due on first Delivery; 20% due on the next
delivery; and the remaining 20% due on final delivery.
1. Do each of the...
Calculate air to fuel ratio by mass, for a four-cylinder SI engine running on i) gasoline...
Calculate air to fuel ratio by mass, for a four-cylinder SI
engine running on i) gasoline and ii) a mixture of 20% methanol and
80% gasoline both at stoichiometric conditions. Assume gasoline is
represented with C8H18 . Calculate any loss of power when
gasoline-methanol mixture is used and discuss your results.
A company is able to produce four products and is planning its production mix for the...
A company is able to produce four products and is planning its
production mix for the next period.
Estimated cost, sales, and production data follow:
Product
W
X
Y
Z
₤
₤
₤
₤
Selling
Price/unit
29
36
61
51
Labour (@ ₤
5/hr)
15
10
35
25
Material (@ ₤
1/kg)
6
18
10
12
Contribution
₤8
₤8
₤16
₤14
Resources/Unit
₤
₤
₤
₤
Labour
(hours)
3
2
7
5
Materials
(Kgs.)
6
18
10
12
Maximum...
Ko-Ka-Ku Limited produces three main products from a joint manufacturing process. Fuel oil, gasoline, Kerosene and...
Ko-Ka-Ku Limited produces three main products from a joint
manufacturing process. Fuel oil, gasoline, Kerosene and Crude-I are
the products emerging from the joint manufacturing process. Crude-I
is aby-product and is sold at split-off, while the joint products
fuel oil, gasoline and kerosene need to be processed further.
Additional inventory and sales volume information (all in
litres) is as follows:
Products
Opening inventory
Sales units
Closing inventory
Fuel oil
1 000
10 000
2 000
Gasoline
2 000
12 000...
At a chip manufacturing plant, four technicians, (A, B, C, D) produce three products (Products 1,...
At a chip manufacturing plant, four technicians, (A, B, C, D)
produce three products (Products 1, 2, and 3). This month, the chip
manufacturer can sell 80 units of Product 1, 50 units of Product 2
and, at most, 50 units of Product 3. Technician A can make only
Product 1 and 3. Techncian B can make only Products 1 and 2.
Technician C can make only Product 3. Techncian D can make only
Product 2. For each unit produced,...
A manufacturer is going to produce four products. The relative data for production are listed below....
A manufacturer is going to produce four products. The relative
data for production are listed below.
setup
cost
unit profit
resource used
product 1
400
100
10
product 2
400
60
5
product 3
500
120
12
product 4
600
160
16
--The total resource available is 1000.
--product 2 and 4 are mutually competitive items, hence will not
be produced at the same time.
--Product 1 will be produced only if product 3 is...
Benkhadour Co. manufactures four different products. Because the quality of its products is high, the demand...
Benkhadour Co. manufactures four different products. Because the
quality of its products is high, the demand for them is greater
than the company can satisfy.
Based on the inquiries made by current and potential customers,
you have estimated the following for the coming year:
Product
Estimated
Demand in Units
Selling Price
per Unit
Direct Materials
Cost per Unit
Direct Labour
Cost per Unit
A
8,000
$ 50
$ 5
$ 5
B
24,000
60
10
9
C
20,000
150
25
30
D
30,000...
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