Answer to Question #287576 in Operations Research for Seni

Question

500 750 300 450 compute with north West corner method

Answer 1

Assume the problem is:

A transportation problem involves the following costs, supply, and demand.

To

From 1 2 3 4 Supply

1 $500 750 300 450 12

2 650 800 400 600 17

3 400 700 500 550 11

Demand 10 10 10 10

Required:

Find the initial solution using the northwest corner method.

Solution:

Problem Table is

Problem is Maximization, so convert it to minimization by subtracting all the elements from max element (800)

Initial feasible solution is

Z = 500X₁₁ + 750X₁₂ + 800X₂₂ + 400X₂₃ + 500X₃₃ + 550X₃₄

Z = 500 (10) + 750 (2) + 800 (8) + 400 (9) + 500 (1) + 550 (10)

Z = 5,000 + 1,500 + 6,400 + 3,600 + 500 + 5,500

Answer: Total Cost: Z = $ 22,500