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General Company for Electronic Systems produces control panels of types S and L. the whole sale price is 100$ per panel for S and 220$ for L. Two-time constraints result from the use of two machines M₁ and M₂. On M₁ one needs 2 min for an S Panel and 8 min for an L panel. On M₂ one needs 5 min for an S panel and 2 min for an L panel. Determine production figures x, and x2 for S and L, respectively (number of panels produced per hour), so that the hourly revenue z = f(x) = 100x₁ + 220x₂ is maximum.

General Company for Electronic Systems produces control panels of types S and L. the whole sale price is 100$ per panel for S and 220$ for L. Two-time constraints result from the use of two machines M₁ and M₂. On M₁ one needs 2 min for an S Panel and 8 min for an L panel. On M₂ one needs 5 min for an S panel and 2 min for an L panel. Determine production figures x, and x2 for S and L, respectively (number of panels produced per hour), so that the hourly revenue z = f(x) = 100x₁ + 220x₂ is maximum.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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Q₁) General Company for Electronic Systems produces control panels of types S and L. the whole sale price is 100$ per panel for S and 220$ for L. Two-time constraints result from the use of two machines M₁ and M₂. On M₁ one needs 2 min for an S Panel and 8 min for an L panel. On M₂ one needs 5 min for an S panel and 2 min for an L panel. Determine production figures x, and x₂ for S and L, respectively (number of panels produced per hour), so that the hourly revenue z = f(x) = 100x₁ + 220x₂ is maximum.
Transcribed Image Text:Q₁) General Company for Electronic Systems produces control panels of types S and L. the whole sale price is 100$ per panel for S and 220$ for L. Two-time constraints result from the use of two machines M₁ and M₂. On M₁ one needs 2 min for an S Panel and 8 min for an L panel. On M₂ one needs 5 min for an S panel and 2 min for an L panel. Determine production figures x, and x₂ for S and L, respectively (number of panels produced per hour), so that the hourly revenue z = f(x) = 100x₁ + 220x₂ is maximum.
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