For a given week, Jose's Coffee House has available 1584 ounces of A grade coffee and 1536 ounces of B grade coffee. These are blended into 1-pound packages as follows: an economy blend that contains 3 ounces of A grade coffee and 8 ounces of B grade coffee, and a superior blend that contains 9 ounces of A grade coffee and 3 ounces of B grade coffee. (The remainder of each blend is made of filler ingredients.) There is a $1 profit on each economy blend package sold and a $4 profit on each superior blend package sold. Assuming that the coffee house is able to sell as many blends as it makes, how many packages of each blend should it make to maximize its profit for the week? Note that the ALEKS graphing calculator can be used to make computations easier. Economy blend: Superior blend: package(s) package(s)

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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For a given week, Jose's Coffee House has available 1584 ounces of A grade coffee and 1536 ounces of B grade coffee.
These are blended into 1-pound packages as follows: an economy blend that contains 3 ounces of A grade coffee and 8
ounces of B grade coffee, and a superior blend that contains 9 ounces of A grade coffee and 3 ounces of B grade coffee.
(The remainder of each blend is made of filler ingredients.) There is a $1 profit on each economy blend package sold and a
$4 profit on each superior blend package sold. Assuming that the coffee house is able to sell as many blends as it makes,
how many packages of each blend should it make to maximize its profit for the week?
Note that the ALEKS graphing calculator can be used to make computations easier.
Economy blend:
Superior blend:
package(s)
package(s)
Transcribed Image Text:For a given week, Jose's Coffee House has available 1584 ounces of A grade coffee and 1536 ounces of B grade coffee. These are blended into 1-pound packages as follows: an economy blend that contains 3 ounces of A grade coffee and 8 ounces of B grade coffee, and a superior blend that contains 9 ounces of A grade coffee and 3 ounces of B grade coffee. (The remainder of each blend is made of filler ingredients.) There is a $1 profit on each economy blend package sold and a $4 profit on each superior blend package sold. Assuming that the coffee house is able to sell as many blends as it makes, how many packages of each blend should it make to maximize its profit for the week? Note that the ALEKS graphing calculator can be used to make computations easier. Economy blend: Superior blend: package(s) package(s)
Expert Solution
Step 1: Define the problem

Let x be the number of packages of Economy blend and y be the number of packages of Superior blend.

From the given data, make a table.


A grade coffeeB grade coffeeProfit
x38$1
y93$4
Availability15841536


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