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
S=5x+3y
S=6x+2y
S=3x+5y
S=2x+6y
The objective function that could be used to maximize the exam score in the linear programming problem given is:
S = 2x + 6y
The objective function represents the goal of the linear programming problem, which in this case is to maximize the exam score. The objective function will depend on the number of multiple-choice questions answered correctly (x) and the number of short answer questions answered correctly (y).
Given that each multiple-choice question is worth 2 points and each short answer question is worth 6 points, the objective function should include the respective score values for both types of questions.
We can calculate the score for the multiple-choice questions by multiplying the number of correct answers (x) by 2. Similarly, we can calculate the score for the short answer questions by multiplying the number of correct answers (y) by 6.
Therefore, the objective function to maximize the exam score (S) would be:
S = 2x + 6y
Thus, the correct response is:
S = 2x + 6y