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A cardiac patient is put on a strict diet to control his fat and sodium intake. Today, he is being served soup and sandwiches. The

A cardiac patient is put on a strict diet to control his fat and sodium intake. Today, he is being served soup and sandwiches. The table below shows the amount of fat, sodium, and protein contained in his lunch.

fat (g) sodium (mg) protein (g)

Sandwich 12 280 17

Soup 2 870 4

The lunch has to provide no more than 15 grams of fat and 700 milligrams of sodium. Using the simplex method how many servings of soup and sandwiches can the patient have if he also needs to maximize his protein intake?

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