Help me solve the following word problems involving matrices.

I would really appreciate if you could please provide me with a detailed explanation and steps on how to solve these problems.

Thank you

n Bob, a nutritionist who works for the University Medical Center, has been asked to prepare special diets for two patients, Susan and Tom. Bob has decided that Susan's meals should contain at least 390 mg of calcium, 20 mg of Iron, and 48 mg of vitamin C, whereas Tom's meals should contain at least 330 mg of calcium, 14 mg of Iron, and 36 mg of vitamin C. Bob has also decided that the meals are to be prepared from three basic foods: Food A, Food 5, and Food C. The special nutritional contents of these foods are summarized in the accompanying table. Find how many ounces of each type of food should be used in a meal so that the minimum requirements of calcium, iron, and vitamin C are met for each patient's meals. Contents (mg/oz) Calcium Iron Vltamlnc Food A 30 1 2 Food 8 25 1 5 Food C 20 2 4 Susan's meals: Food A X oz Tom's meals: Food A l , 02 Food B | oz Food C | oz The Carver Foundation funds three non-prot organizations engaged in alternate-energy research activities. From past data, the proportion of funds spent by each organization in research on solar energy, energy from harnessing the wind, and energy from the motion of ocean tides is given in the accompanying table. Proportion of Money Spent Solar wind Tldes Organization I 0.6 0.3 0.1 Organization II 0.4 0.3 0.3 Organization III 0.2 0.6 0.2 Find the amount awarded to each organization if the total amount spent by all three organizations on solar, wind, and tidal research is as follows. (a) $9.8 million, $9.6 million, and $5.6 million, respectively Organization I $ million Organization 11 $ million Organization III $ million (b) $8 million, $6.6 million, and $3.4 million, respectively Organization I $ million Organization II $ million Organization III $ million