A popular band is selling three different versions of their recent album. They found out that the profit (in Rupees) is given by the following: P = 35, 000 - 0.1a2 - b2 - c2 +80b + 100c, where a, b, and c are the number of albums sold for the gold version, silver version, and standard version respectively. If they plan to sell a total of 205 albums, find the number of albums for each version that will give the maximum profit using LAGRANGE MULTIPLIERS.
A popular band is selling three different versions of their recent album. They found out that the profit (in Rupees) is given by the following: P = 35, 000 - 0.1a2 - b2 - c2 +80b + 100c, where a, b, and c are the number of albums sold for the gold version, silver version, and standard version respectively. If they plan to sell a total of 205 albums, find the number of albums for each version that will give the maximum profit using LAGRANGE MULTIPLIERS.
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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A popular band is selling three different versions of their recent album. They found out that the profit (in Rupees) is given by the following: P = 35, 000 - 0.1a2 - b2 - c2 +80b + 100c, where a, b, and c are the number of albums sold for the gold version, silver version, and standard version respectively. If they plan to sell a total of 205 albums, find the number of albums for each version that will give the maximum profit using LAGRANGE MULTIPLIERS.
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