Exercise 2. Carla Lee, a current MBA student, decides to spend her summer designing and marketing bicycling maps of Western Pennsylvania. She has designed 4 maps, corresponding to four quadrants around Pittsburgh. The maps differ in size, colors used, and complexity of the topographical relief (the maps are actually 3-dimensional, showing hills and valleys). She has retained a 3D printer to produce the maps. Each map must be printed, cut, and folded. The time (in minutes) to do this for the four types of maps is: Map Print Cut Fold A 1 2 3 B 2 4 2 3 1 5 D 3 3 3 Available 15,000 20,000 20,000 6 The profit per map, based on the projected selling price minus printer costs and other variable costs, comes out to approximately $1 for A and B and $2 for C and D. In order to have a sufficiently nice display, at least 1,000 of each type must be produced. Model and solve this problem, and generate a sensitivity report. (a) What are the production quantities and projected profit? (b) How much is Carla willing to pay for extra printing time? cutting time? folding time? For each, how many extra hours is she willing to buy at that price? (c) Suppose we reduced the 1,000 limit on one item to 900. Which limit should be de- creased, and how much more would Carla make? (d) A fifth map is being considered. It would take 2 minutes to print, 2 minutes to cut, and 3 minutes to fold. What is the least amount of profit necessary in order to consider producing this map? What is the effect of requiring 1,000 of these also? (e) The marketing analysis for map D is still incomplete, though it is known that the profit of $2 per item is within $0.25 of the correct value. It will cost $500 to complete the analysis. Should Carla continue with the analysis