If Ahmednagar is not the first location to be visited in a route and the total route distance is 29 km, then which of the following is a possible number of widgets delivered on that day?
Explanation:
Demand A – 50 (40%); 70 (60%) B – 40 (30%); 60 (70%) C – 70 (30%); 100 (70%) D – 30 (40%); 50 (60%)
If A is not the first city to be visited, the first city will have to be C.
Distance travelled from Warehouse to C = 12 kms.
∴ To visit the remaining 3 cities, distance travelled should be (29 – 12 =) 17 kms.
There are two possibilities for this.
Case 1: W → C → B → A → D Here, highest demand is from C i.e., 70 or 100 2nd highest demand is from B i.e., 60 3rd highest demand is from A i.e., 50 4th highest demand is from D i.e., 30
Total widgets delivered can be 210 or 240
Case 2: W → C → D → A → B Here, highest demand is from C i.e., 70 or 100 2nd highest demand is from D i.e., 50 3rd highest demand is from A i.e., 50 4th highest demand is from B i.e., 40
Total widgets delivered can be 210 or 240.
[Note: shortest route from A to D or vice-versa is through the warehouse.]
Hence, option (a).
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