choose THE CORRECT ANSWER

1)The Goal objective function is written as * A) Maximize G = 2(d1-) + 3(d2+) + (d3-) + (d4-) B) None of the answers. C) Minimize G = 3(d1-) + 2(d2-) + (d3-) + (d4-) D) Maximize G = (d1-) + (d2+) + 3(d3-) + 3(d4+) E) Minimize G = (d1-) + 2(d2-) + 2(d3-) + (d4+)

2)The first goal constrain "The total profit must be at least $32,000" is written as * A) 3x1 + 5x2 + 9x3 + (d1-) - (d1+) = 32,000 B) 3x1 + 5x2 + 19x3 + (d1-) - (d1+) = 32,000 C) None of the answers. D) 13x1 + 5x2 + 9x3 + (d1-) - (d1+) = 32,000 E) 3x1 + 5x2 + 9x3 + (d1+) - (d1-) = 32,000

3) The second goal constrain "The quantity produced of Cheddar & Butter must be more than 42% of the total production." is written as * A) 0.58x2 + 0.58x3 - 0.42x1 + (d2-) - (d2+) = 0 B) 0.58x1 + 0.58x2 - 0.42x3 + (d2-) - (d2+) = 0 C) 0.58x2 + 8x3 - 0.42x3 + (d2-) - (d2+) = 0 D) None of the answers. E) 58x2 + 0.58x3 - 0.42x3 + (d2-) - (d2+) = 0

4) The third goal constraint "They should produce Yogurt more than Butter. " is written as: * A) x3 + x2 + (d3-) - (d3+) = 0 B) x1 - x2 - (d3-) - (d3+) = 0 C) None of the answers. D) x3 - x2 + (d3-) - (d3+) = 0 E) x1 - x3 + (d3-) - (d3+) = 0

5) The fourth goal constraint: "The quantity produced of Cheddar cannot exceed 35% of that of Yogurt and Butter." is written as * A) 5x1 - 0.35x2 - 0.35x3 + (d4-) - (d4+) = 0 B) 10x2 - 0.35x1 - 0.35x3 + (d4-) - (d4+) = 0 C) x2 - 0.35x1 - 0.35x3 + (d4-) - (d4+) = 0 D) x1 - 0.35x2 - 0.35x3 + (d4-) - (d4+) = 0 E) None of the answers.

Dairy Co. produces three types of dairy products yogurt, cheddar, & butter. They use three raw materials MI, M2 and M3. To produce one unit of Yogurt, we need 3 units of MI and 1 unit of M3. To produce one unit of Cheddar, we need 5 units of MI, 3 units of M2 and one unit of M3. To produce one unit of Butter, we need 7 units of M1, one unit of M2 and 4 units of M3. The daily available quantities of M1, M2 and M3 are 75, 42 and 37 units, respectively. The profit for one unit of yogurt, cheddar and butter is $3.95, and S9, respectively. The company has four goals to achieve: 1- The total profit must be at least $32,000. 2- The quantity produced of Cheddar & Butter must be more than 42% of the total production 3- They should produce Yogurt more than Butter. 4. The quantity produced of Cheddar cannot exceed 35% of that of Yogurt and Butter. Dairy Co. considers the second & third goals two times as important as the remaining goals