题目

 Explain the meaning of a shadow price and calculate the shadow price of qualified researcher time. 

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考点:Chapter4Limitingfactoranalysis

Shadow price 

The shadow price is the extra contribution or profit that may be earned if one more unit of a binding resource or limiting factor becomes available. 

It can be used to inform managers of the maximum price that should be paid for more of a scarce resource over and above the basic rate. The shadow price of a constraint that is not binding at the optimal solution is zero. 

Calculation of shadow prices 

At the optimal solution, A = 32.94 and B = 57.10  

Contribution = $54,507 

Qualified researchers 

(32.94 × 20) + (57.10 × 12) = 1,344 = availability 

The constraint is binding. If one more hour of labour was available, the new optimal product mix would be at the intersection of the lines: 

             20a + 12b = 1,345 (1)  

                8a + 15b = 1,120 (2)

 (2) × 2.5 

               20a + 37.5b = 2,800 (3) 

(3) – (1) 

              25.5b = 1,455        

                      b = 57.06 

Substitute into (1)  

                20a + 684.72 = 1,345  

                                      a = 33.01 

Contribution = (580 × 33.01) + (620 × 57.06) = $54,523 

The shadow price of one hour of qualified researcher's time is the extra contribution generated which is $16. 

多做几道

 Actual overheads cost $180,000 and 40,000 machine hours were worked. 

Actual overheads cost $170,000 and 40,000 machine hours were worked. 

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5

【论述题】

Prepare profit statements for each period and for the two periods in total using both absorption costing and marginal costing. 

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【论述题】

Prepare profit statements for each of the six-monthly periods, using the following methods of costing. 

Marginal costing 

Prepare profit statements for each of the six-monthly periods, using the following methods of costing. 

Absorption costing 

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