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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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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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