Solve this question using:

a) leastcost method

b) northwest method

c) vogel's approximation method

PROBLEM 9 An airline company buys fuel for the plane from three vendors. The company needs for each of the three airports that uses and for the next months 100000 gallons for the first, 180000 gallons for the second and 35000 gallons for the third airport. Each vendor can supply fuel to any airport in the price (dollars per gallon) given in the table below. Seller 1 Seller 2 Seller 3 Airport 1 0.92 0.91 0.87 Airport 2 0.89 0.91 0.90 Airport 3 0.90 0.95 0.92 Each seller has a restriction on the total amount of fuel that can be supplied each month. The potential is 320000 gallons for the seller 1, 1270000 gallons for the seller 2 and 190000 gallons for the seller 3. Find the right fuel purchasing policy so as to minimize the total cost of feeding the three airports