
To find: The profit if the plant’s processing is maximizes.

Answer to Problem 28PPS
The maximum value is 23250.
Therefore, if the plant processing maximized, the profit is 23250 dollars.
Explanation of Solution
Given information :
Tons of plastic processes per week = 1200
Tons of plastic processed for food containers = 300
Tons of plastic processed for drink containers = 450
The profit for processing food containers= $ 17.50 per ton
The profit for processing drink containers = $ 20 per ton
Calculation :
Suppose x be the number of tons of food containers processed and y be the number of tons of drink containers processed.
Then, the optimizing function is written as follows:
The constraints are:
The graph is shown below:
The vertices of the feasible region are
The table is created as shown below:
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The maximum value is 23250. Therefore, if the plant maximized processing the profit is 23250 dollars.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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