Suppose that inventory at the beginning of month 1 is zero.

A) Please formulate a shortest path problem to help the company minimize the total cost while meeting demand.

B) please use the dijkstra's algorithm to find the optimal solution and optimal value.

Month	1	2	3	4	5	6
Demand (units)	10	40	20	5	5	15
Setup cost ($)	50	50	50	50	50	50
Production cost ($/unit)	1	3	3	1	1	1
Holding cost	2	2	2	2	2	2