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Question 1000945: You have 75 Lbs of premium coffee and 130 Lbs of regular coffee in your storeroom. There are two ways these can be blended to make 1 Lb packages.
The basic blend contains 3 ounces of premium coffee and 13 of regular.
The super blend contains 8 ounces of premium coffee and 8 of regular.
You make $4 profit for every 1-Lb package of basic blend you sell, and you akd $3 profit for every 1-LB package of super blend you sell.
How many packages of each blend should you make in order to maximize your profit for this month?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You have 75 Lbs of premium coffee and 130 Lbs of regular coffee in your storeroom. There are two ways these can be blended to make 1 Lb packages.
The basic blend contains 3 ounces of premium coffee and 13 of regular.
The super blend contains 8 ounces of premium coffee and 8 of regular.
You make $4 profit for every 1-Lb package of basic blend you sell, and you make $3 profit for every 1-LB package of super blend you sell.
How many packages of each blend should you make in order to maximize your profit for this month?
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Objective function: Profit = 4b + 3s
b >= 0
s >= 0
Premium coffee Inequality:: 3b+8s <= 75 lbs
Regular coffee Inequlity::: 13b+8s <= 130 lbs
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Graph; find the vertex values:: substitute each vertex pair into the Profit
equation to find the pair that gives the maximum.
Cheers,
Stan H.
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