Question 1184538: An apple orchard sells apple juice in three different sized containers: 1L, 2L, and 4L bottles. The maximum amount of juice that can be produced in a week is 320L, and it seems that customers prefer the 1L format over the other two combined.
Furthermore, for every 2L bottle sold, at most one 4L bottle is sold. If the profit for the one litre bottles is $1, the two litre bottle profits $1.50, and the four litre bottle has profit of $3.75 determine how many of each format of bottle must be sold to maximize weekly profits, and determine the profit.
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! The problem is to maximize P = x + 1.50y + 3.75z, subject to
 , with 
You can then go to http://reshmat.ru/simplex_method_lpp.html to implement the simplex method.
What you will get in the end are x = 160, y = 80, and z = 80, with maximum P = 580.
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