Reference no: EM131268556
Suppose that country A, country B and country C produce all the apples, bananas and oranges inthe world. The world’s demand for apples requires 90 million acres of land devoted to appleproduction, 90 million acres of land for bananas and 100 million acres for oranges. The totalamount of land available in country A is 90 million acres, in country B is 110 million acres, andin country C is 80 million acres. The required labor hours in country A to produce an acre ofapples, bananas and oranges are 18, 20, 16, respectively. Similarly, the required labor hours are5, 13, and 12 in country B. Moreover, the required labor hours are 23, 22, and 25 for apples,bananas and oranges in country C. Given that the labor cost in country A to produce apples,bananas and oranges per hour is $8, $9 and $10, and for country B is the same as country A. Incountry C, the labor cost for apples, bananas and oranges is $10, $10 and $11. The problem is toallocate land use in each country so as to meet the world requirement and minimize the totallabor costs.
(a) Construct the appropriate parameter table for this problem as a transportation problem.
(b) Draw the network representation of this problem as a transportation problem.
(c) Formulate this problem as a transportation problem.
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