$9.$Tuckered Outfitters plans to market a custom brand of packaged trail mix. The ingredients for the trail mix will include Raisins, Grain, Chocolate Chips, Peanuts, and Almonds costing, respectively, $$2\mathrm{.}50,$ $$1\mathrm{.}50,$ $$2\mathrm{.}00,$ $$3\mathrm{.}50,$ and $$3\mathrm{.}00$ per pound. The vitamin, mineral, and protein content of each of the ingredients $($in grams per pound$)$ is summarized in the following table along with the calories per pound of ingredient: