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What are the constraints in the situation facing WX Co? 

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【论述题】

 Prepare a contribution breakeven chart for 20X3 assuming that all sales will be 'own label'. 

 Prepare a contribution breakeven chart for 20X3 assuming that 50% of sales are 'own label' and 50% are of the BD brand. 

 Comment on the positions shown by the charts and your calculations and discuss what other factors management should consider before making a decision. 

 Q plc makes two products – Quone and Qutwo – from the same raw material. The selling price and cost details of these products are as shown below:  

                                                                                                  Quone                      Qutwo  

                                                                                                        $                                $ 

Selling price                                                                               20.00                      18.00 

                                                                                                     –––––                    ––––– 

Direct material ($2.00 per kg)                                                  6.00                         5.00 

Direct labour 4.00 3.00 Variable overhead                            2.00                          1.50  

                                                                                                     –––––                    –––––  

                                                                                                     12.00                        9.50  

                                                                                                    –––––                      ––––– 

Contribution per unit                                                                 8.00                          8.50 

The maximum demand for these products is 500 units per week for Quone, and an unlimited number of units per week for Qutwo. 

What would the shadow price of these materials be if material were limited to 2,000 kgs per week? 

A

 $nil 

B

 $2.00 per kg 

C

 $2.66 per kg 

D

 $3.40 per kg 

 P is considering whether to continue making a component or to buy it from an outside supplier.  It uses 12,000 of the components each year.  

The internal manufacturing cost comprises: 

                                                                                                $/unit 

Direct materials                                                                    3.00 

Direct labour                                                                          4.00

 Variable overhead                                                                1.00 

Specific fixed cost                                                                  2.50 

Other fixed costs                                                                    2.00  

                                                                                              –––––  

                                                                                               12.50  

                                                                                              –––––

 If the direct labour were not used to manufacture the component, it would be used to increase the production of another item for which there is unlimited demand.  This other item has a contribution of $10.00 per unit but requires $8.00 of labour per unit. 

What is the maximum price per component, at which buying is preferable to internal manufacture? 

A

 $8.00 

B

 $10.50 

C

 $12.50 

D

 $15.50 

The following details relate to three services provided by RST Company: 



All three services use the same type of direct labour which is paid $25 per hour. 

The fixed overheads are general fixed overheads that have been absorbed on the basis of machine hours. 

What are the most and least profitable uses of direct labour, a scarce resource? 

A

Most profitable  S     Least profitable  R

B

Most profitable  S     Least profitable  T

C

Most profitable  T     Least profitable  R

D

Most profitable  T     Least profitable  S

A linear programming model has been formulated for two products, X and Y. The objective function is depicted by the formula C = 5X + 6Y, where C = contribution, X = the number of product X to be produced and Y = the number of product Y to be produced. 

Each unit of X uses 2 kg of material Z and each unit of Y uses 3 kg of material Z. The standard cost of material Z is $2 per kg. The shadow price for material Z has been worked out and found to be $2.80 per kg. 

If an extra 20 kg of material Z becomes available at $2 per kg, what will the maximum increase in contribution be? 

A

 Increase of $96 

B

 Increase of $56 

C

 Increase of $16 

D

 No change 

 The shadow price of skilled labour for CBV is currently $8 per hour. 

 What does this mean? 

A

 The cost of obtaining additional skilled labour resources is $8 per hour 

B

 There is a hidden cost of $8 for each hour of skilled labour actively worked 

C

 Contribution will be increased by $8 per hour for each extra hour of skilled labour that can be obtained 

D

 Total costs will be reduced by $8 for each additional hour of skilled labour that can be obtained 

 Mark the following on the P/V chart below.

 • Breakeven point                                • Contribution

 • Fixed costs                                         • Profit