Resource allocation. A coffee manufacturer uses Colombian and Brazilian coffee beans to produce two blends, robust and mild. A pound of the robust blend requires 12 ounces of Colombian beans and 4 ounces of Brazilian beans. A pound of the mild blend requires 6 ounces of Colombian beans and 10 ounces of Brazilian beans. Coffee is shipped in 130-pound burlap bags. The company has 48 bags of Colombian beans and 45 bags of Brazilian beans on hand. How many pounds of each blend should they produce in order to use all the available beans? Robust = Ibs Mild = Ibs (Round each answer to the nearest pound.)

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Chapter2: Systems Of Linear Equations
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Problem 5EQ: 5. A coffee merchant sells three blends of coffee. A bag of the house blend contains 300 grams of...
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Resource allocation. A coffee manufacturer uses Colombian and Brazilian coffee beans to produce two blends, robust and mild. A pound of the robust
blend requires 12 ounces of Colombian beans and 4 ounces of Brazilian beans. A pound of the mild blend requires 6 ounces of Colombian beans and
10 ounces of Brazilian beans. Coffee is shipped in 130-pound burlap bags. The company has 48 bags of Colombian beans and 45 bags of Brazilian
beans on hand. How many pounds of each blend should they produce in order to use all the available beans?
Robust = Ibs
Mild =
Ibs
(Round each answer to the nearest pound.)
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Transcribed Image Text:Question Help ▼ Resource allocation. A coffee manufacturer uses Colombian and Brazilian coffee beans to produce two blends, robust and mild. A pound of the robust blend requires 12 ounces of Colombian beans and 4 ounces of Brazilian beans. A pound of the mild blend requires 6 ounces of Colombian beans and 10 ounces of Brazilian beans. Coffee is shipped in 130-pound burlap bags. The company has 48 bags of Colombian beans and 45 bags of Brazilian beans on hand. How many pounds of each blend should they produce in order to use all the available beans? Robust = Ibs Mild = Ibs (Round each answer to the nearest pound.) Do you want to switch to tablet mode? This makes Windows more touch-friendly when using your device as a tablet. Enter your answer in each oft the answer boses Always ank me before switching Type here to search
Expert Solution
Step 1

Given that a pound of robust requires 12 ounces of Colombian beans and 4 ounces of  Brazilian beans.

Similarly a pound of mild blend requires 6 ounces of Colombian beans and 10 ounces of Brazilian beans.

Coffee is shipped in 130-pound bags and company has 48 bags of Colombian and 45 bags of Brazilian beans.

Let x denote the number of pounds of robust blend and y denote the number of pounds of mild blend.

Form the below table using given information.

  x y Available
Colombian(pounds) 1216 616 48×130=6240
Brazilian(pounds) 416 1016 45×130=5850
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