Part 3: UPC A UPC or Universal Product Code is a 12 digit bar code that is scanned when you purchase a product at a store. The first digit depends on the type of object, digits 2 through 6 are assigned to the manufacturer, and digits 7 through 12 are assigned by the manufacturer to distinguish the product. The check digit scheme is similar to the one for ISBN-13 using (mod 10) and alternating 1's and 3's in the vector used for the sum-product, except it starts with 3, . Questions Based on the allowed assignments, how many products can a single manufacturer have UPC's for? 4. Find any UPC online of your choosing. Show that it adheres to the rule above. 5. Suppose you work for a warehouse and you find the partial UPC code 73132526391. This is missing the right-most check digit. What must this check digit be? Determine this by performing the appropriate modular arithmetic. Once you have found this, identify the product by searching the UPC code online. What product does this correspond to? Part 3: UPC A UPC or Universal Product Code is a 12 digit bar code that is scanned when you purchase a product at a store. The first digit depends on the type of object, digits 2 through 6 are assigned to the manufacturer, and digits 7 through 12 are assigned by the manufacturer to distinguish the product. The check digit scheme is similar to the one for ISBN-13 using (mod 10) and alternating 1's and 3's in the vector used for the sum-product, except it starts with 3, . Questions Based on the allowed assignments, how many products can a single manufacturer have UPC's for? 4. Find any UPC online of your choosing. Show that it adheres to the rule above. 5. Suppose you work for a warehouse and you find the partial UPC code 73132526391. This is missing the right-most check digit. What must this check digit be? Determine this by performing the appropriate modular arithmetic. Once you have found this, identify the product by searching the UPC code online. What product does this correspond to