management science

Use the following problem statement to answer questions 1-3. A company produces a drug from two ingredients. Each ingredient contains the same three antibiotics in different proportions. One gram of ingredient 1 contributes 3 units of antibiotic 1 , and one gram of ingredient 2 contributes 1 unit of antibiotic 1 . The drug requires at most 20 units of antibiotic 1 . At least 4 units of antibiotic 2 are required, and the ingredients each contribute 2 units per gram. At least 12 units of antibiotic 3 are required; a gram of ingredient 1 contributes 2 units, and a gram of ingredient 2 contributes 6 units. The cost for a gram of ingredient 2 is $70, and the cost for a gram of ingredient 1 is $40. The company wants to formulate a linear programming model to determine the number of grams of each ingredient that must go into the drug in order to meet the antibiotic requirements at the minimum cost. [Note: X1= the number of grams of ingredient 1. 2= the number of grams of ingredient 2] Which of the following objective functions is correct? MinZ=701+402MinZ=401+702MinZ=801+502 Question 2 8 pts Which of the following constraints is correct? 2x1+2x24x1+x242x1+2x2=4 Which of the following constraints is correct? 3X1+X220 3X1+X220 X1+3X220