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3. Red Velvet's latest album is being sold in three different versions. A Kpop merchandise seller determined that the profit (in pesos) for selling Red Velvet's latest album is given by P = 30,000 - 0.1x² - y² − z²+80y + 100z, where x, y, and z are the number of albums sold for the special version, case version, and photobook version, respectively. If the seller plans to sell a total of 210 albums, use the method of Lagrange multipliers to find the number of albums for each version that will yield the maximum profit.

3. Red Velvet's latest album is being sold in three different versions. A Kpop merchandise seller determined that the profit (in pesos) for selling Red Velvet's latest album is given by P = 30,000 - 0.1x² - y² − z²+80y + 100z, where x, y, and z are the number of albums sold for the special version, case version, and photobook version, respectively. If the seller plans to sell a total of 210 albums, use the method of Lagrange multipliers to find the number of albums for each version that will yield the maximum profit.

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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3. Red Velvet's latest album is being sold in three different versions. A Kpop merchandise seller determined that the profit (in pesos) for selling Red Velvet's latest album is given by P = 30,000 - 0.1.² y²z²+80y + 100z, where x, y, and z are the number of albums sold for the special version, case version, and photobook version, respectively. If the seller plans to sell a total of 210 albums, use the method of Lagrange multipliers to find the number of albums for each version that will yield the maximum profit.
Transcribed Image Text:3. Red Velvet's latest album is being sold in three different versions. A Kpop merchandise seller determined that the profit (in pesos) for selling Red Velvet's latest album is given by P = 30,000 - 0.1.² y²z²+80y + 100z, where x, y, and z are the number of albums sold for the special version, case version, and photobook version, respectively. If the seller plans to sell a total of 210 albums, use the method of Lagrange multipliers to find the number of albums for each version that will yield the maximum profit.
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