Question 15 - Minimize Cost A 50 km stretch of highway runs west to east Bamyan Sumara between two towns, Bamyan and Sumara. There are two new housing developments south of these two towns. Jamrin is located 30 km south of Bamyan and Zimrin is located 40km south of Sumara. The local government is planning to connect a road from each of the new settlements (Jamrin & Zimrin) to a common point on the existing highway. Find the point on the Jamrin existing highway to make the connection to minimize the total length of the new roads. ZimrinInstructions Write your complete solution below each question or on a separate sheet of paper. Number each question clearly Show correct understanding of the problem and draw/label the diagram as appropriate . Define any variables and formulate equations of all relationships / functions correctly Use proper notation Follow the Optimization & Extreme Value Algorithm (p. 135, p. 144) Show all steps clearly and provide proper reasoning as appropriate Put a box around the final answer for each