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A psychologist, studying the effects of good nutrition on the behavior of rabbits, feeds one group a combination of three foods: I, II, and Ill.

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A psychologist, studying the effects of good nutrition on the behavior of rabbits, feeds one group a combination of three foods: I, II, and Ill. Each of these foods contains three additives: A, B, and C. The following table gives the percent of each additive that is present in each food. If the diet being used requires 6.84 g per day of A, 14.26 g of B, and 27.65 g of C, find the number of grams of each food that should be used each day. Click to view the data table. Let x = the number of grams of food I, y = the number of grams of food II, and z = the number of grams of food III. Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution is x = , z= (Type integers or decimals rounded to the nearest hundredth as needed.) O B. There are infinitely many solutions. The solution has the form x = . y= . szs]. (Type integers or decimals rounded to the ne edth as needed.) C. There are infinitely many solutions. The solution has the form x = . y= , z is any real number. (Type expressions using z as the variable. Type integers or decimals rounded to the nearest hundredth as needed.) O D. There is no solution. Food Additive Table - X Food I Food II Food III Additive A (%) 2 8 4 Additive B (%) 10 18 Additive C (%) 8 29 21 Print Done

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