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=3x+5y cap s is equal to 3 x plus 5 y S=6x+2y cap s is equal to 6 x plus 2 y S=2x+6y cap s is equal to 2 x plus 6 y S=5x+3y
The objective function that could be used to maximize the exam score in the linear programming problem is:
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
In this objective function, S represents the score, x represents the number of multiple choice problems answered correctly, and y represents the number of short answer problems answered correctly. The coefficients 2 and 6 represent the points assigned for each correctly answered multiple choice and short answer question, respectively.
The objective function in this case represents the linear equation that calculates the student's exam score based on the number of multiple-choice questions answered correctly (x) and the number of short answer questions answered correctly (y). Since each multiple-choice question is worth 2 points and each short answer question is worth 6 points, you can use the objective function to maximize the score by maximizing the number of correct answers for both types of questions.
Given the information, we know that the objective function should include the following terms:
- 2x: Represents the score obtained from correctly answering multiple-choice questions.
- 6y: Represents the score obtained from correctly answering short answer questions.
Therefore, the objective function that maximizes the exam score in this linear programming problem is:
S = 2x + 6y
So, the correct answer is: S = 2x + 6y.