A point M is on the line 3x + 2y = 12 and moving between A and B. Determine the maximum value of the area of the rectangle OCMD. M D 2. [6 Marks]. A piece of wire, 100 cm long needs to be bent to form a rectangle. Determine the dimensions of the rectangle with the maximum area. 3. [10 Marks]. If 7500 cm of material is available to make a box with a square base and open top, (a) find the dimensions of the box that give the largest volume of the box. (b) What is the maximum value of the volume? 2 cm 4. [10 Marks]. The printed area of a page in a book will be 81 cm. The margins at the top and bottom of the page will each be 3 cm deep. The margins at the sides of the page will each be 2 cm wide. What page dimensions will minimize the amount of paper? 3 cm 3 cm 2 cm