A vitamin company produces supplements for anyone who enjoys athletic activities. Two of their products are the SimplyProtein Nutrition Bar and the Myoplex Deluxe Shake. One SimplyProtein Nutrition Bar contains 33 grams of protein, 300 calories, 13 grams of sugar, and 45 milligrams of sodium. One Myoplex Deluxe Shake contains 42 grams of protein, 300 calories, 2 grams of sugar, and 450 milligrams of sodium. An athlete is preparing for the Shamrock Shuffle 8K race in Chicago. He is planning to use the SimplyProtein Nutrition Bar and the Myoplex Deluxe Shake in his training. He wants to maximize his protein intake daily while keeping his calories under 1500, sugar under 32 grams, and sodium under 1845 milligrams. How many bars and shakes should he consume daily while maximizing his protein intake? What is the maximum daily protein intake?
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