A company has three manufacturing units at X, Y, and Z which are manufacturing certain products and the company supplies warehouses at A, B, C, D, and E. Monthly regular capacities for regular production are 300, 400, and 600 units respectively for X, Y, and Z units. The cost of production per unit is $40, $30, and $40 respectively at units X, Y, and Z. By working overtime it is possible to have additional production of 100, 150, and 200 units, with the incremental cost of $5, $9 and $8 respectively. If the cost of transportation per unit in rupees as given in the table below, find the allocation for the total minimum production car transportation cost. Under what circumstances one factory may have to work overtime while another may work at under-capacity?

if the sales price per unit at all warehouses is Rs.70/- what would be the allocation for maximum profit? Is it necessary to obtain a new solution or does the solution obtained above hold valid?

Solve it by linear programming simplex method
 

Transcribed Image Text:

From X Y Z REQ A 12 11 16 400 B 14 16 17 400 C 18 15 19 200 D 13 11 16 200 E 16 12 14 300 300 400 600 From X Y Z REQ A 12 11 16 400 B 14 16 17 400 C 18 15 19 200 D 13 11 16 200 E 16 12 14 300 300 400 600

Answer rating: 100% (QA)

To find the allocation for the total minimum production cost we can use the transportation simplex method The first step is to set up the transportation matrix by listing the capacity and demand for e... View the full answer