Mr. Holloway decides to feed his pet Siberian husky two dog foods combined to create a nutritious low-sodium diet. Each can of brand A contains 3 units of protein, 1 unit of calories, and 5 units of sodium. Each can of brand B contains 1 unit of protein, 1 unit of calories, and 4 units of sodium. Mr. Holloway feels that each day, his dog should have at least 12 units of protein and 8 units of calories.
(a) Fill in the following chart:

(b) Let x be the number of cans of brand A and y be the number of cans of brand B. Referring to the chart, give the two inequalities that x and y must satisfy to meet the requirements for protein and calories.
(c) Give the inequalities that x and y must satisfy because x and y cannot be negative.
(d) Express the total amount of sodium in x cans of brand A and y cans of brand B.
(e) Graph the feasible set for the nutrition problem.

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Requirements A Protein Calories Sodium