FOOD ADDITIVE TABLE Food I. Food II. Food IIIAddictive A(%). 2. 8. 4Addictive B(%). 4. 10. 18Addictive C(%). 8. 29. 21

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. O A. There is one solution. The solution is x = ,y= ,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 nearest hundredth 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