A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will...

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A dietician is planning a snack package of fruit and nuts. Eachounce of fruit will supply zero units of protein,3 units ofcarbohydrates, and 2 units of fat, and will contain 40 calories.Each ounce of nuts will supply 2 units of protein,1 unit ofcarbohydrate, and 4 units of fat, and will contain 50 calories.Every package must provide at least 2 units of protein, at least 7units of carbohydrates, and no more than 14 units of fat. Find thenumber of ounces of fruit and number of ounces of nuts that willmeet the requirement with the least number of calories. What is theleast number of calories?

(a)Let x be the ounces of fruit and y be the ounces of nuts.What is the objective function that must be minimized?

(b)The dietician should use __ ounce(s) of fruit and ___ounce(s) of nuts. These amounts will have a total of ___calories

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