快速查题-ACCA英国注册会计师试题

A company manufactures three products using different amounts of the same grade of labour, which is in short supply. The following budgeted data relates to the products: 

What order should the products be manufactured in to ensure that profit is maximised?  

 ABC Co makes three products, budget information is provided below. 

Material A is in short supply and ABC Co only have 10,000 kgs available. Material A costs $10 per kg. 

What is the optimum production plan for ABC Co? 

TW manufactures two products, the D and the E, using the same material for each. Annual demand for the D is 9,000 units, while demand for the E is 12,000 units. The variable production cost per unit of the D is $10, that of the E $15. The D requires 3.5 kg of raw material per unit, the E requires 8 kg of raw material per unit. Supply of raw material will be limited to 87,500 kg during the year. 

A subcontractor has quoted prices of $17 per unit for the D and $25 per unit for the E to supply the product. How many of each product should TW manufacture in order to maximise profits? 

Required 

Fill in the blanks in the sentence below. 

TW should manufacture ........... units of D and .............. units of E to maximise profits. 

What are the constraints in the situation facing WX Co? 

 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? 

 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?