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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 19EQ: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two...
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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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