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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.

Advanced Engineering Mathematics
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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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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