A blending process is to combine three components to create a final blind of 60,000 gallons. The three components cost $2, $1.5 and $1.25 per gallon respectively. Total cost of the components should equal 90,000. Another requirement of the blending is that the number of gallons used of component 1 should be twice the amount used of component three. Determine whether there is a combination of three components satisfying the blending restriction. Apply Gaussian elimination approach.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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a) A blending process is to combine three components to create a final blind of 60,000 gallons. The three components cost $2, $1.5 and $1.25 per gallon respectively. Total cost of the components should equal 90,000. Another requirement of the blending is that the number of gallons used of component 1 should be twice the amount used of component three. Determine whether there is a combination of three components satisfying the blending restriction. Apply Gaussian elimination approach.
b) The function qd = f(p) = 180,000 – 30p is a demand function where price is stated in rupees. Determine the restricted domain & range for this function.

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