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Can someone help me solve this question I have attempted itmultiple times and the solution keeps coming up asincorrect.
Here is the nutritional information for 20 fl oz of Original Coke®, Vanilla Coke Ⓡ, Pepsi Ⓡ and Pepsi Next Ⓡ represented as nutritional vectors with the respective amount of Calories, Sodium (mg) and Carbs (g): 100 100 25 vectors of the ot 240 - (2).. 65 "Oc= ,"vc= ,np= 70 The nutritional vector for original coke is noc can be expressed as a linear combination noc = anyc+Bnp+mPN where the coefficients are α = 1/2 B = 7/21 Note: this may be a tricky calculation, see hints below. 260 Table 1. Ingredients and Nutritional Information Calories Sodium (mg) Carbs (g) The main ingredients of cola are Carbonated Water, High Fructose Corn Syrup (HFCS) and Caramel Colour. nutritional content these ingredients is in the table below Carbonated Water (1 fl oz) 0 5 0 We can represent this nutritional information by the matrix A: ^(-)= A 10 . The ingredient vector for Pepsi is The ingredient vector for Pepsi Next is A¹nvc= A-¹np = <7.8.9.9.0.55> 250 55 and npN= 70 25 0 25 A = 5 1 20 0 5 38 The matrix A defines a linear map from ingredient vectors to nutritional vectors. For example, we can comput nutritional value of a mixture of 7 fl oz of Carbonated Water, 10 fl oz of HFCS and 4fl oz of Caramel Colour a <350,125,202> But with the power of linear algebra, we can also go backwards and compute the following valuable trade sec hints below, and give your answers to two significant figures): . The ingredient vector for Vanilla Coke is A¹npN=<18.6.3.8.0.2> HFCS (1 fl oz) 25 1 5 7= 4/15 7.8 9.9 .55 Caramel Colour (1 fl oz) 25 20 38 & P