快速查题-ACCA英国注册会计师试题

 A company has the following production planned for the next four weeks. The figures reflect the full capacity level of operations. Planned output is equal to the maximum demand per product. 

The direct labour force is threatening to go on strike for two weeks out of the coming four. This means that only 2,160 hours will be available for production, rather than the usual 4,320 hours.

 If the strike goes ahead, which product or products should be produced if profits are to be maximised? 

 A jewellery company makes rings (R) and necklaces (N). 

The resources available to the company have been analysed and two constraints have been identified: 

Labour time                                            3R + 2N < 2,400 hours

 Machine time                                      0.5R + 0.4N < 410 hours 

The management accountant has used linear programming to determine that R = 500 and N = 400.  

Which of the following is/are slack resources? 

(1) Labour time available 

(2) Machine time available 

 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? 

 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? 

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 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? 

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

 What does this mean? 

What is the shadow price of one hour of machine time in the Mixing Department? 

In what circumstances does slack arise? 

The following draft annual budget has been prepared for the machining room of a production centre. The machining room makes four components which are then transferred to an assembly and fitting department. 

The machining room has a maximum capacity of 24,000 hours per year, but any quantity of any of the components can be purchased from an external supplier if required. It is essential that the budgeted quantities of all four components be delivered to the assembly and fitting department. This means that some of the budgeted requirement for components will have to be purchased externally. 

In order to optimise the financial return, which component should be purchased externally?