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The quantity, Q, of a good produced depends on the quantities x, and x₂ of the two main materials used, according to the function Q = x5x5. Material x₁ costs $70 per unit, and material x2 costs $55 per unit. We want to minimize the cost of producing 100 units of the good. Using Lagrange multipliers, we see that the minimum cost, to the nearest dollar, of $ and x₂ = X1 occurs when Your last two blanks should be correct to two decimal places.

The quantity, Q, of a good produced depends on the quantities x, and x₂ of the two main materials used, according to the function Q = x5x5. Material x₁ costs $70 per unit, and material x2 costs $55 per unit. We want to minimize the cost of producing 100 units of the good. Using Lagrange multipliers, we see that the minimum cost, to the nearest dollar, of $ and x₂ = X1 occurs when Your last two blanks should be correct to two decimal places.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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The quantity, Q, of a good produced depends on the quantities x₁ and x₂ of the two main materials used, according to the function Q = x5x5. Material x₁ costs $70 per unit, and material x₂ costs $55 per unit. We want to minimize the cost of producing 100 units of the good. Using Lagrange multipliers, we see that the minimum cost, to the nearest dollar, of $ and x₂ x₁ = Check occurs when Your last two blanks should be correct to two decimal places.
Transcribed Image Text:The quantity, Q, of a good produced depends on the quantities x₁ and x₂ of the two main materials used, according to the function Q = x5x5. Material x₁ costs $70 per unit, and material x₂ costs $55 per unit. We want to minimize the cost of producing 100 units of the good. Using Lagrange multipliers, we see that the minimum cost, to the nearest dollar, of $ and x₂ x₁ = Check occurs when Your last two blanks should be correct to two decimal places.
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