1. Why does a pash-based supply chain react more slowly to changing demand than a pullbased system? (0.25 points) 2. WhiteGlove House Call Health provides a service where patients within prodefined service areas can receive primary health eare visits at home or at work, 365 days per year, 8 am to 8 pm. Suppose WhiteGlove guarantees same-day service to all patients requesting visits during operating hous, (0.5 points) (a) Describe an appropriale measure of the effectiveness of the WhileGlove same-day service guarantec. (b) Describe two alternative measures of the eficiency of the WhiteGlove same-day service guarantee 3. A computer manufacturer ships partially assembled computers (bereafter called units from an assembly plant in Thailand to a distribation eenter in Oregon. We want to determine if it is more economical to ship in 40ft containers by ocean carriers or in airline containers by air carriers. Shipment by ocean costs $11,000 per container, and a 40 f container can hold 5,000 units. Handling cost is $2000 per 40ft container. The journey by sea takes 20 days on average. Shipment by air costs $20,000 per container, and an airline eontainer can hold 1,400 units. Handling cost is $1000 per airline container. The journey by air takes 2 days on average (door to door). The forecasted demand is 120,000 units for the next year, which is also the planned production quantity. No safety stock is kept at the assembly plant, and a shipment is sent to the distribution eenter as soon as a container is filled. Safety stock of 1,000 units is kept at the distribution cenler. A unit is valued at $600 at the assembly plant and $800 at the distribution center. The inventory holding cost rate is estimated at 20% of value per year. The space cost is estimated as $30/ unit*year at the assembly plast and $40 /unit"year at the distribution center. ( 3 points) (a) What are the annual inventory holding costs at the assembly plant (include the space and holding cost in this calculation)? (b) What are the annual imventory bolding costs at the distribution center (include the spoceand holdiag cost in this calculation)? 1 (c) What are the anmual in-transit inventory costs for each mode? (d) What are the anneal transportation costs for each mouk (don't forget to take the shipment handling cost inso consideration when calculating these costs)? (c) What are the total annual cost cquations for each mode of transportation? (f) Assume that the shipper will always ship full loads. Determine the most cconomical transportation service to use in this case. (g) Now assume that the shipper may use less than fill loads. Determine the most economical transportation service to use in this case. 4. How many ares are included in a path that visits n nodes? (0.25 points ) 5. Can a graph be connected if it includes exactly 5 nodes and exactly 3 arcs? Why of why nor? (0.5 points) 6. The shortest path tree rooted at s for the graph depicted below includes the following arcs: {(s,A),(s,B),(A,C),(A,D),(D,t)}. Use this information to answer questions (a) through (d) below. (a) Using the format v(j)[pred(j)], give the minimum cost path label of each node, as specified by the shortest path tree rooted as s described in the problem statement. To get you started, the label at node s is 0[0]. (1.5 points) (b) If the cost on arc(A,C) increases from 3 to 4 , what labels must be re-examined to test whether the set of minimum cost path labels is still optimal? Only specify those arcs which must be examined, and justify your answer for each arc you list. (0.5 points) (c) If the cost on arc (A,B) increases from 2 to 3 , what labels must be re-examined? Support your answer. ( 0.5 points)