LS 30A: MATHEMATICS FOR LIFE SCIENTISTS FALL- LECTURE 1 FINAL EXAMINATION SOLUTIONS

LS 30A: MATHEMATICS FOR LIFE SCIENTISTS FALL - LECTURE 1 Jukka Keranen FINAL EXAMINATION SOLUTIONS Your Name Your Student ID number Your TA Section By signing below, you confirm that you did not cheat on this exam. No exam booklet without a signature will be graded. INSTRUCTIONS • Please do not open this booklet until you are told to do so. • In addition to basic writing instruments, you are allowed to use a non-programmable calculator. • Your cell phone must be turned off completely and stowed away where you cannot see it. • No books or notes. • If you have a question at any time during the exam, please raise your hand. • You will receive points only for work written on the numbered pages. Please use the reverse side as scratch paper. • Make sure to write legibly. Illegible work will not be graded. • Make sure to show all your work and justify your answers fully. SCORE 1. 6. 2. 7. 3. 8. 4. 9. 5. 10. TOTAL 1. The elves at Santa’s workshop at North Pole are making wooden toy trains. The process of making a toy train begins by carving the parts, which are then painted, and finally assembled into a complete train, to be delivered to children all over the world. Santa wants to make sure that all the toys he brings are of highest quality. Thus, the manufacturing process proceeds according to the following rules. • At the carving station, pieces of wood are being carved into various train components (C) at a rate of 100 components per hour. • Of all the carved components, 20 percent are rejected and thrown away. • In order to avoid overwhelming the painting