Linear Programming Question

Question

Aimee has just completed a fifty-minute history test with sixteen multiple-choice questions and six short answer questions. The multiple-choice questions were worth four points each, while the short answer questions were worth six points each. Aimee estimates that it took her an average of two minutes for each multiple-choice question and five minutes for each short answer question. Assuming Aimee answered all but three questions correctly, how many of each question would she have needed to answer correctly to maximize her score? What is her score for this test?

Answer 1

16 mulch, 4pts, 2min

6 short, 6pts, 5min

To max her grade she needed to answer the other 3 questions correctly. =50min; here she used 62 minutes-(4x+6y)=50. (4x+6y)=12?