The Medequip Company produces precision medical diagnostic equipment at two factories. Three medical centers have placed orders for this monthĂ˘â‚¬â„˘s production output. The table below shows what the cost would be for shipping each unit from each factory to each of these customers. Also shown are the number of units that will be produced at each factory and the number of units ordered by each customer.
|Unit Shipping Cost||
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|Customer 1||Customer 2||Customer 3|
|Factory 1||$650||$800||$700||400 units|
|Factory 2||$400||$900||$600||500 units|
|Order size||300 units||200 units||400 units|
A decision now needs to be made about the shipping plan for how many units to ship from each factory to each customer.
Formulate a linear programming model for this problem.
Let xij be the number of units shipped from factory i = 1, 2 to customer j = 1, 2, 3.
(Click to select) maximize minimize C = (answer) x11 + (answer) x12 + (answer) x13 + (answer) x21 + (answer) x22 + (answer) x23
subject to (Click to select) x13 + x23 ; x11 + x21; x11 + x12 + x13; x21 + x22 + x23; x12 + x22 = (answer)
(Click to select) x12 + x22; x11 + x12 + x13; x11 + x21; x13 + x23; x21 + x22 + x23 = (answer)
(Click to select) x13 + x23 ; x12 + x22 ; x11 + x21 ; x11 + x12 + x13; x21 + x22 + x23 = (answer)
(Click to select) x12 + x22 ; x13 + x23 ; x11 + x12 + x13; x21 + x22 + x23 ; x11 + x21 = (answer)
(Click to select) x12 + x22 ; x11 + x21 ; x11 + x12 + x13 ; x13 + x23 ; x21 + x22 + x23 = (answer)