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Assignment:
Don's Deli is a small delicatessen located near Silliman University. Nowadays, Don does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Bumpy and Crumpy. At the beginning of the day, Don needs to decide how much of each special to make as he always sells out whatever he makes. The profit on one serving of Bumpy is P45, on one serving of Crumpy, P58. Each serving of Bumpy requires 0.25 pounds of beef, 0.25 cups of onions, and 5 ounces of a special sauce. Each serving of Crumpy requires 0.25 pounds of beef, 0.4 cups of onions, 2 ounces of a special sauce, and 5 ounces of hot sauce. Today, Don has 20 pounds of beef, 15 cups of onions, 88 ounces of a special sauce, and 60 ounces of hot sauce on hand.
Develop a linear programming arithmetic model that will tell Don how many servings of Bumpy and Crumpy to make in order to maximize his profit today. Also, find an optimal solution to the problem.
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