Consider the diet problem summarized in the following table. In this table, different food items available in a Mac Donalds restaurant are displayed in column A. Column B contains the selling prices of these food items (in dollars), and columns C, D, E and F contain their calories, protein contents (in grams), fat contents (in grams) and sodium contents (in milligrams), respectively. Columns G, H, I, J, K, L and M display various vitamin and mineral contents of the said food items (in % of Required Daily Allowances - RDA).

Given that a "healthy" daily diet must contain,

i) at least 55 grams of protein;

ii) at most 3000 milligrams of sodium;

iii) at least 100% RDA of vitamin A;

iv) at least 100% RDA of vitamin C;

v) at least 100% RDA of vitamin B1;

vi) at least 100% RDA of vitamin B2;

vii) at least 100% RDA of Niacin;

viii) at least 100% RDA of Calcium;

ix) at least 100% RDA of Iron; and that in such a healthy diet,

x) no more than 30% of all calories should come from fat (1 gram of fat contains 9 calories); which food items (and how many) should be selected for daily consumption, in order to optimize various objectives, while satisfying the above constraints.

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