1. (20 points) An entrepreneur plans to locate a coffee shop in a newly constructed office building. The current office tenants are located at P₁ = (2,5), P2 = (3,4), and P3 = (6,5). 4 persons per day are expected to visit the first office, 3 in the second office, and 5 in the last office. If the only available location for the new coffee shop is at (2,4), a) (10 pts) (a) what is the expected impact in the cost of not having the coffee shop at the optimal location?; (10 pts) (b) Construct an iso-cost contour line passing through the point (2,4) Draw your lines in each grid using the correct slope. You must include the exact slope values for each grid. FORMULATION and SOLUTION: Note: Draw your lines in each grid using an approximate slope. You must include the exact slope values for each grid to get credit for his problem. Plot below