Write the e-system obtained via slack variables for the given linear programming problem. Maximize X1 + 7x2 subject to 4x1 3x2 s 17 5x + 7x, s 24 9x + 5x, s 37 3x4 + X2 s 9 Write the associated linear equation for the inequality 4x,-3x, s 17. Use s, as the slack variable.

Snack A provides 10 grams of protein and costs 2 dollars, snack B provides 6 grams of protein and costs 3 dollars.  You need at least 30 grams of protein a day.  Let x be the number of snack A you buy and y be the number of snack B you buy.  You want to minimize cost. State the linear programming problem in mathematical terms, identifying the objective function and constraints.   Do not solve the problem to completion.  Just state the inequalities needed and the objective function.