Future Plastics Manufactures Plastic Products for Industrial Use Worldwide

question 77

Multiple Choice

Future Plastics manufactures plastic products for industrial use worldwide. In order to meet demand, they are considering setting up a facility in each region in order to lower transportation cost and to possibly avoid duties that could be imposed if the product is imported from another region. The disadvantage of this approach is that plants are sized to meet local demand and may not fully exploit economies of scale. Therefore, Future Plastics is also interested in determining the appropriate size of the facility to build in each location and are choosing between facilities with capacities of 5 or 10 million.
The fixed costs of each facility as well as the cost of shipping between regions is shown in the table below. The decision variables are defined as follows:
Xij = quantity shipped from supply region i to demand region j. i = 1, 2, 3, 4 and j = 1, 2, 3, 4.
Yik = 1 if facility k is selected for supply region i; 0 otherwise, where i = 1, 2, 3, 4 for each supply region; k = 1 (low capacity facility) or 2 (high capacity facility)

-Which of these constraints will ensure that either a low capacity or a high facility capacity facility is built in the European supply region?

• A) Y41 + Y42 = 1
• B) Y41 + Y42 ? 1
• C) Y14 + Y24 = 1
• D) Y14 + Y24 ? 1

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Definitions:

Carrying Amount

The amount at which an asset is recognized in the balance sheet after deducting any accumulated depreciation (amortization) and accumulated impairment losses.

Value In Use

The value today of the cash flows that are expected to come from an asset or a revenue-producing entity in the future.

Impairment Loss

A reduction in the recoverable value of an asset below its carrying amount on the balance sheet, recognized as a loss.

Recoverable Amount

The higher value between an asset's fair value minus costs of disposal and its value in use.