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 $33\mathrm{.}50$ 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?