MCV4U1 Culminating Task Activity 5: Making Erasers Erasers come in all different shapes, sizes and colours. Math students across the globe have spoken and said that the classic pink parallelepiped is the best eraser of all time! Using your entrepreneurial spirit, you have decided to make these classic erasers and sell them on Amazon knowing you'll strike it rich in no time. There's a little problem - you have nothing to work with.. So you need to use Calculus to help you out. Complete the following. 3) Using the given diagram, identify the three vectors (using the arrows given to you in the diagram) by name and in vector (component) form. b) You now need to create a mould that C (0, -2, 4) you will use to create the erasers (you B (0, -15, 0) will fill it with the rubber material!). A (-7, 0, 0) What are the dimensions of the parallelepiped mould? Assume the units are given in cm. State all final answers as exact value numbers. c) Next, you need to figure out how much rubber material you will need to fill the mould. Using your answers from parts a) and b), determine the volume your mould can contain. d) Now that you know how much material you will need, you want to find a supplier that will sell you the material for a good price. You need to ensure that your eraser will cost no more than $1.05 per unit to produce. At what price per unit should you purchase the material for from a supplier? Express your final answer as $/cm to four decimal places. Provide an algebraic solution using calculus and vectors techniques. Please note the following: You should use your class notes or textbook as reference as you work on your solution. Your teacher also recognizes the value that comes from discussing problems with your classmates. However, each student should be able to produce their own unique solution. It is imperative that your solution is your own work! Evaluation Please see the attached rubric for your evaluation