A student has 30 minutes to complete an exam. There are 9 multiple choice questions worth 3 points each. There are also 3 short answer questions worth 5 points each. It takes about 2 minutes to answer a multiple choice question and about 6 minutes to complete a short answer question. How many multiple choice questions and short answer questions should the student answer to maximize his score in the time remaining (Use x = multiple choice; y = short answer.)
1. State the Objective Function (S for score) in the linear programming problem given
2. Determine the five vertices of the feasible region, given the constraints.
Constraints:
2x + 6y 30
x is less than or equal to 9
y is less than or equal to 3
x is greater than or equal to 0
y is greater than or equal to 0
3. How many of each type of question should be answered correctly to maximize the test score in the time remaining on the test? MC = Multiple Choice, SA = Short Answer