At Tidewater Community College, freshman need to take a 100 level Math and English plus optional Philosophy course. Consider the combination problem with the following 3 constraints 1) In any semester the college needs to make available 6 less English sections than Math sections. 2) In any semester student demand for the optional Philosophy course is half as many sections as English sections. 3) Available classrooms limit the total sections of all three courses to 46 Interpret these constraints as three linear equations, using the variables: Number of Math sections, m Number of English sections, e Number of Philosophy sections, p Equation for constraint 1) Equation for constraint 2) Equation for constraint 3) Given these constraints how many sections of each course should the college make available each semester to meet demand? Math sections English sections Philosophy sections An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she orders ten Falafel wraps, twenty-five Turkey BLT sandwiches, and fifteen hot Ham and Swiss paninis for a total of $368.75. The next month, she orders fifteen Falafel wraps, thirteen Turkey BLT sandwiches, and twenty-two hot Ham and Swiss paninis for a total of $353.50. For the third month, she orders eight Falafel wraps, twenty-two Turkey BLT sandwiches, and twenty hot Ham and Swiss paninis for a total of $369. How much does each sandwich cost? Falafel Wrap = $ Turkey BLT = $ Hot Ham and Swiss = $ The nutritional content per ounce for three foods are displayed in the table below. If a person on a specific diet must include all three foods in their daily intake of 2480 calories, 114 grams of protein, and 175 mg of sodium, how many ounces of each food can the person eat per day? Calories Protein Sodium Food A 100 3 5 Food B 260 10 20 Food C 180 12 15 Ounces of Food A: Ounces of Food B: Ounces of Food C: