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

 The following circumstances may arise in relation to the launch of a new product: 

(i) Demand is relatively inelastic. 

(ii) There are significant economies of scale.

 (iii) The firm wishes to discourage new entrants to the market. 

(iv) The product life cycle is particularly short. 

Which of the above circumstances favour a penetration pricing policy? 

A

 (ii) and (iii) only 

B

 (ii) and (iv) 

C

 (i), (ii) and (iii) 

D

 (ii), (iii) and (iv) only 

 Which of the following statements regarding market penetration as a pricing strategy is/are correct? 

(1) It is useful if significant economies of scale can be achieved.

 (2) It is useful if demand for a product is highly elastic. 

A

 (1) only 

B

 (2) only 

C

 Neither (1) nor (2) 

D

 Both (1) and (2) 

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

A

 $3 

B

 $7 

C

 $10.50 

D

$1,193 

In what circumstances does slack arise? 

A

 At the optimal solution, when the resource used equals the resource available 

B

 At the optimal solution, when a minimum quantity of a resource must be used, and more than that quantity is used 

C

 At the optimal solution, when the resource used is less than the resource available 

D

 At the optimal solution, when a minimum quantity of resource is used 

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? 

A

 Component W 

B

 Component X 

C

 Component Y 

D

 Component Z 

A company makes two products, X and Y, with the same machines and the same direct labour workforce. The following information is available for the next budget period. 



During the period there will be a maximum of 20,000 machine hours and 48,000 direct labour hours available, and these resources could be limiting factors on output and sales. If linear programming is used to determine the optimum production quantities of Product X and Product Y, which one of the following would be a constraint in the linear programming model? 

A

 0.3x + 0.2y ≤ 48,000 

B

0.5x + 0.2y ≤ 20,000 

C

 0.6x + 0.3y ≤ 20,000 

D

 0.6x + 0.5y ≤ 48,000 

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?  

A

 P1  2nd         P2  1st        P3  3rd

B

 P1  2nd         P2  3rd        P3  1st

C

 P1  1st         P2  3rd        P3  2nd

D

 P1  1st         P2   2nd       P3  3rd

 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? 

A

 1000 As, 0 Bs and 2,975 Cs 

B

 0 As, 2,000 Bs and 3,000 Cs 

C

 1,000 As, 2,000 Bs and 500 Cs 

D

 1,000 As, 2,000 Bs and 3,000 Cs 

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.