A student has 30 minutes to complete an exam. There are 9 multiple choice questions worth 2 points each. There are also 3 short answer questions worth 6 points each. It takes about 3 minutes to answer a multiple choice question and about 5 minutes to complete a short answer question. Let x represent the # of multiple choice problems the student should answer correctly and, y represent the # of short answer problems they should answer correctly. Question 1 State the Objective Function (using the variable S for score) that could be used to maximize the exam score in the linear programming problem given.(1 point) Responses S=2x+6y cap s is equal to 2 x plus 6 y S=3x+5y cap s is equal to 3 x plus 5 y S=5x+3y cap s is equal to 5 x plus 3 y S=6x+2
The objective function that could be used to maximize the exam score is:
S = 2x + 6y
The objective function, using the variable S for score, that could be used to maximize the exam score in the linear programming problem given is:
S = 2x + 6y
The objective function in this linear programming problem represents the quantity that we want to maximize or minimize. In this case, we want to maximize the exam score.
Since the multiple-choice questions are worth 2 points each, the total score for the multiple-choice questions would be 2 times the number of correct answers, represented by "2x."
Similarly, the short answer questions are worth 6 points each, so the total score for the short answer questions would be 6 times the number of correct answers, represented by "6y."
To maximize the exam score, we can add the scores of the multiple-choice questions and the short answer questions together. Therefore, the objective function for this problem would be:
S = 2x + 6y
Here, "S" represents the exam score, "x" represents the number of multiple-choice questions answered correctly, and "y" represents the number of short answer questions answered correctly.