When gasoline is refined from crude oil, each gallon of regular, midgrade, and premium uses a different blend of two different grades of crude oil according to the following matrix. Gasoline Blends Reg. Mid. Prem. 3 Crude Grade Black 4 1 Gold 4 In addition, the demand (in thousands of gallons) from a Houston refinery is 23 regular, 13 midgrade, and 9 premium, and the demand from a Gulfport refinery is 31 regular, 22 midgrade, and 12 premium. (a) Make a 2 x 3 matrix B that contains the blending information and a 3 x 2 matrix D for the demands (in thousands of gallons) at each refinery. B = D = Use a matrix product to find each refinery's need for each type of crude oil. Houston needs gallons of black crude and gallons of gold crude. Gulfport needs gallons of black crude and gallons of gold crude.
When gasoline is refined from crude oil, each gallon of regular, midgrade, and premium uses a different blend of two different grades of crude oil according to the following matrix. Gasoline Blends Reg. Mid. Prem. 3 Crude Grade Black 4 1 Gold 4 In addition, the demand (in thousands of gallons) from a Houston refinery is 23 regular, 13 midgrade, and 9 premium, and the demand from a Gulfport refinery is 31 regular, 22 midgrade, and 12 premium. (a) Make a 2 x 3 matrix B that contains the blending information and a 3 x 2 matrix D for the demands (in thousands of gallons) at each refinery. B = D = Use a matrix product to find each refinery's need for each type of crude oil. Houston needs gallons of black crude and gallons of gold crude. Gulfport needs gallons of black crude and gallons of gold crude.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:When gasoline is refined from crude oil, each gallon of regular, midgrade, and premium uses a different blend of two different grades of crude oil
according to the following matrix.
Gasoline Blends
Reg.
Mid.
Prem.
3
Crude Grade
Black
4
1
Gold
4
In addition, the demand (in thousands of gallons) from a Houston refinery is 23 regular, 13 midgrade, and 9 premium, and the demand from a
Gulfport refinery is 31 regular, 22 midgrade, and 12 premium.
(a) Make a 2 x 3 matrix B that contains the blending information and a 3 x 2 matrix D for the demands (in thousands of gallons) at each
refinery.
B =
D =
Use a matrix product to find each refinery's need for each type of crude oil.
Houston needs
gallons of black crude and
gallons of gold crude. Gulfport needs
gallons
of black crude and
gallons of gold crude.
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