Please answer the blanks A dietitian is planning a meal that supplies certain quantities of vitamin C, calcium, and magnesium. Three foods containing these nutrients will be used.The amount of each nutrient, in milligrams, found in one unit of each food is given in the table below, along with the dietary requirements.Nutrient Food 1 Food 2 Food 3 Total Required (mg)Vitamin C 40 2060470Calcium 40 3080615Magnesium 20 25 50402.5(a) Write the augmented matrix for this problem:Answer:40Answer:4020Answer:203025units60(b) What quantity of Food 1 is necessary to meet the dietary requirements?units8050units470(c) What quantity of Food 2 is necessary to meet the dietary requirements?615402.5(d) What quantity of Food 3 is necessary to meet the dietary requirements?

Answered: Image /qna-images/answer/a0298137-a342-4e76-a803-df3e89bbfdf1.jpg

A dietitian is planning a meal that supplies certain quantities of vitamin C, calcium, and magnesium. Three foods containing these nutrients will be used The amount of each nutrient, in milligrams, found in one unit of each food is given in the table below, along with the dietary requirements. Nutrient Food 1 Food 2 Food 3 Total Required (mg) Vitamin C 40 20 60 470 30 80 615 25 50 402.5 Calcium 40 Magnesium 20 (a) Write the augmented matrix for this problem: Answer: 40 Answer: 40 20 Answer: 20 30 25 units (b) What quantity of Food 1 is necessary to meet the dietary requirements? 60 units 80 50 (c) What quantity of Food 2 is necessary to meet the dietary requirements? units 470 615 402.5 (d) What quantity of Food 3 is necessary to meet the dietary requirements?