A firm has three shops with a total of 80 televisions. An order is received from the county government for 70 sets to be delivered to four schools. The transport shops to schools are tabulated below together with
available stocks in the shops,
School
A
School
B
School
C
School
D
Available TV
Sets
Shop I 2.00 4.00 1.00 6.00 40
Shop II 4.00 2.00 3.00 3.00 20
Shop III 1.00 5.00 5.00 2.00 20
Total 20 30 15 5
(i) Work out the initial feasible cost using the three methods i. e. North West Corner Cell Method,
Vogel Approximation Method and The Least Cost Cell Method.
(ii) Use the allocation from the least cost method to calculate the shadow cost and set up the final
Tableau that shows the allocation that optimizes the delivery cost.