Question

jerusalem medical ltd., an israeli producer of portable kidney dialysis units and other medical products, develops a 4-month aggregate plan. demand and capacity (in units) are forecast as follows: capacity source month 1 month 2 month 3 month 4 labor regular time 235 255 290 300 overtime 20 24 26 24 subcontract 12 15 15 17 demand 255 294 321 301 the cost of producing each dialysis unit is $985 on regular time, $1,310 on overtime, and $1,500 on a subcontract. inventory carrying cost is $100 per unit per month. there is to be no beginning or ending inventory in stock and backorders are not permitted. set up a production plan that minimizes cost using the transportation method

Answer 1

$1069700$minimizes cost using the transportation method.

The goal of this study is to determine the lowest possible cost of delivering manufactured items from factories to warehouses (distributors). Both CCNN and OBU cement transportation data obtained from the BUA group of companies were used. The data was modelled as a transportation-related linear programming model and represented as a transportation tableau. Its initial basic feasible solution and optimal solution were produced using R programming and TORA software version The analysis's findings demonstrate that the answers provided by the three first fundamental feasible solution approaches varied. Transportation costs were calculated using the North-West corner approach at $$2336000$, the Least Cost (Minimum) method at $$985$Transportation was estimated to cost $ $1069700$ using the Vogel Approximation method.

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Answer 2

$1069700$minimizes cost using the transportation method.

The goal of this study is to determine the lowest possible cost of delivering manufactured items from factories to warehouses (distributors). Both CCNN and OBU cement transportation data obtained from the BUA group of companies were used. The data was modelled as a transportation-related linear programming model and represented as a transportation tableau. Its initial basic feasible solution and optimal solution were produced using R programming and TORA software version$1.0.0.$The analysis's findings demonstrate that the answers provided by the three first fundamental feasible solution approaches varied. Transportation costs were calculated using the North-West corner approach at $$2,336,000$, the Least Cost (Minimum) method at $$985$ Transportation was estimated to cost $$1069700$ using the Vogel Approximation method.

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