6-42 A snack company packages and sells three differ- ent 1-pound canned party mixes: Plain Nuts, Mixed Nuts, and Premium Mix. Plain Nuts sell for $2.25 per can, Mixed Nuts sell for $3.37, and Premium Nuts sell for $6.49 per can. A can of Plain Nuts contains 0.8 pound of peanuts and 0.2 pound of ca- shews. A can of Mixed Nuts consists of 0.5 pound of peanuts, 0.3 pound of cashews, 0.1 pound of al- monds, and 0.1 pound of walnuts. A can of Premium Nuts is made up of 0.3 pound of cashews, 0.4 pound of almonds, and 0.4 pound of walnuts. The company has on hand 500 pounds of peanuts, 225 pounds of cashews, 100 pounds of almonds, and 80 pounds of walnuts. Past demand indicates that customers pur- chase at least twice as many cans of Plain Nuts as Premium Nuts. What production plan will maximize the total revenue?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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6-42 A snack company packages and sells three differ-
ent 1-pound canned party mixes: Plain Nuts, Mixed
Nuts, and Premium Mix. Plain Nuts sell for $2.25
per can, Mixed Nuts sell for $3.37, and Premium
Nuts sell for $6.49 per can. A can of Plain Nuts
contains 0.8 pound of peanuts and 0.2 pound of ca-
shews. A can of Mixed Nuts consists of 0.5 pound
of peanuts, 0.3 pound of cashews, 0.1 pound of al-
monds, and 0.1 pound of walnuts. A can of Premium
Nuts is made up of 0.3 pound of cashews, 0.4 pound
of almonds, and 0.4 pound of walnuts. The company
has on hand 500 pounds of peanuts, 225 pounds of
cashews, 100 pounds of almonds, and 80 pounds of
walnuts. Past demand indicates that customers pur-
chase at least twice as many cans of Plain Nuts as
Premium Nuts. What production plan will maximize
the total revenue?
Transcribed Image Text:6-42 A snack company packages and sells three differ- ent 1-pound canned party mixes: Plain Nuts, Mixed Nuts, and Premium Mix. Plain Nuts sell for $2.25 per can, Mixed Nuts sell for $3.37, and Premium Nuts sell for $6.49 per can. A can of Plain Nuts contains 0.8 pound of peanuts and 0.2 pound of ca- shews. A can of Mixed Nuts consists of 0.5 pound of peanuts, 0.3 pound of cashews, 0.1 pound of al- monds, and 0.1 pound of walnuts. A can of Premium Nuts is made up of 0.3 pound of cashews, 0.4 pound of almonds, and 0.4 pound of walnuts. The company has on hand 500 pounds of peanuts, 225 pounds of cashews, 100 pounds of almonds, and 80 pounds of walnuts. Past demand indicates that customers pur- chase at least twice as many cans of Plain Nuts as Premium Nuts. What production plan will maximize the total revenue?
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