Instructions I Assessment :- Write your complete solution below each question or on a separate sheet of paper. Number each question clearly a Show correct understanding of the problem and draw/label the diagram as appropriate (~2 marks). a Define any variables and formulate equations of all relationships 1' functions correctly (~2 marks) Use proper notation (~2 marks) Follow the Optimization 8: Extreme Value Algorithm (p. 135, p. 144) (~2 marks) Show all steps clearly and provide proper reasoning as appropriate (-2 marks). Put a box around the nal answer for each question. Question 1 - Minimize Perimeter I 10 marks Athree-sided fence is to be built next t3 a straight section of the AternoPescara river, which forms the fourth side of a rectangular region, as shown in the diagram. The enclosed area is to equal 1800 m2 and the fence running parallel to the river must be set back at least 20 m from the river. Determine the minimum perimeter of such an enclosure and the dimensions of the corresponding enclosure. Question 2 - Shortest Time I 10 marks Holokai is a small Island 5 km norlh of Birch Point, located along a straight shoreline. Atriathlete. Melia, is camped at a spot on the shore that is 12 km west of Birch Point and she needs to go to the island. Melia can run at a rate of 8kmlh and can swim at a rate of 3kmlh. How far should Melia run (along the shoreline) before swimming to reach the island in the shortest amount of time