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 - y²-2² +80y + 100%, 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.

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 - y²-2² +80y + 100%, 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.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

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 - 2² +80y + 100%,
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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