Planters Nut Company is planning to launch a new 32-ounce can of mixed nuts. The product will be a mix of Cashews, Almonds, Walnuts, Pecans, Brazil Nuts, Macadamia Nuts, Peanuts and Pistachios. The specific mix of these varieties will depend on several factors: • The amount of fat per serving should not exceed 33.50 grams - each serving size is 2 ounces. • There must be at least 2 ounces and no more than 7 ounces of each nut in the mix. Given the following cost and fat per ounce for each variety, how many ounces of each nut should be used in the new 32-ounce can to minimize the total cost of each can? Nut Type Cost Per oz. ($) Fat Per oz. (g) Cashews $0.45 13 Almonds $0.30 15 Walnuts $0.35 18 Pecans $0.15 20 Brazil Nuts $0.30 19 Macademia Nuts $0.55 22 Peanut $0.15 14 Pistachios $0.60 13

Practical Management Science
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Planters Nut Company is planning to launch a new 32-ounce can of mixed
nuts. The product will be a mix of Cashews, Almonds, Walnuts, Pecans,
Brazil Nuts, Macadamia Nuts, Peanuts and Pistachios. The specific mix of
these varieties will depend on several factors:
• The amount of fat per serving should not exceed 33.50 grams - each
serving size is 2 ounces.
• There must be at least 2 ounces and no more than 7 ounces of
each nut in the mix.
Given the following cost and fat per ounce for each variety, how many
ounces of each nut should be used in the new 32-ounce can to minimize the total cost of each can?

Nut Type Cost Per oz. ($) Fat Per oz. (g)
Cashews $0.45 13
Almonds $0.30 15
Walnuts $0.35 18
Pecans $0.15 20
Brazil Nuts $0.30 19
Macademia Nuts $0.55 22
Peanut $0.15 14
Pistachios $0.60 13
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