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Determine an optimal daily production schedule of health food bars for Health Valley Foods

HEALTH FOODS. Health Valley Foods produces three types of health food bars in two-ounce sizes: the Go Bar, the Power Bar, and the Energy Bar. The Energy Bar also comes in an 8 -ounce size. The three main ingredients in each bar are a protein concentrate, a sugar substitute, and carob. The recipes for each bar in terms of percentage of ingredients (by weight) and the daily availabilities of each of the ingredients are as follows.

The following costs are incurred in the production of the health food bars:

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Health Valley’s wholesale selling prices to health food stores are $0.68, $0.84, and $0.76, respectively, for 2-ounce sizes of the Go Bar, the Power Bar, and the Energy Bar, and $3.00 for the 8 -ounce Energy Bar. The company has facilities for producing up to 25,000 2-ounce bars and 2000 8 -ounce bars daily. It manufactures at least 2500 of each of the 2 -ounce bars daily. No 2-ounce bar is to account for more than 50% of the total production of 2 -ounce bars, and the total production (by weight) of Energy Bars is not to exceed more than 50% of the total production (by weight). Determine an optimal daily production schedule of health food bars for Health Valley Foods

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