We use the transportation tableau to find the optimal solution
please show working
In order to formulate the problem as a transportation model, we need to create the parameter table. Rows of the parameter table show supply period and columns indicate demand period. Regular cost of production in a supply period to fulfil the demand of same period is as given in the problem. For example regular production cost in period 1 to fulfil the demand of period 1 is $ 30 and overtime cost in the same supply and demand period is $ 50. Subcontract cost is $ 60.
Regular time Cost of fulfilling demand of n months later than the current month increases by n times the carrying cost. For example, cost of fulfilling demand of month 3 (2 periods later) from overtime time supply of month 1 = 50+3*4 = 62
While calculating net demand, opening inventory is subtracted from first month demand and required closing inventory is added to the last month demand.
EXCEL Formulas:
Cell | Formula | Copy to |
K11 | =SUM(H11:J11) | K11:K19 |
H20 | =SUM(H11:H19) | H20:J20 |
K8 | =SUMPRODUCT(B11:D19,H11:J19) |
Total cost = $ 99,500
We use the transportation tableau to find the optimal solution please show working Transportation Method (Example)...
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