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1. RFT, an engineering company, has been asked to provide a quotation for a contract to build a new engine.
The potential customer is not a current customer of RFT, but the directors of RFT are keen to try and win the contract as they believe that this may lead to more contracts in the future. As a result, they intend pricing the contract using relevant costs. The following information has been obtained from a two-hour meeting that the Production Director of RFT had with the potential customer. The Production Director is paid an annual salary equivalent to $1,200 per 8-hour day. 110 square meters of material A will be required. This is a material that is regularly used by RFT and there are 200 square meters currently in inventory. These were bought at a cost of
$12 per square meter. They have a resale value of $10.50 per square meter and their current replacement cost is $12.50 per square meter. 30 liters of material B will be required. This material will have to be purchased for the contract because it is not otherwise used by RFT. The minimum order quantity from the supplier is 40 liters at a cost of $9 per liter. RFT does not expect to have any use for any of this material that remains after this contract is completed. 60 components will be required. These will be purchased from HY. The purchase price is $50 per component. A total of 235 direct labour hours will be required. The current wage rate for the appropriate grade of direct labour is $11 per hour. Currently RFT has 75 direct labour hours of spare capacity at this grade that is being paid under a guaranteed wage agreement. The additional hours would need to be obtained by either (i) overtime at a total cost of $14 per hour; or (ii) recruiting temporary staff at a cost of $12 per hour. However, if temporary staff are used they will not be as experienced as RFT's existing workers and will require 10 hours supervision by an existing supervisor who would be paid overtime at a cost of $18 per hour for this work. 25 machine hours will be required. The machine to be used is already leased for a weekly leasing cost of $600. It has a capacity of 40 hours per week. The machine has sufficient available capacity for the contract to be completed. The variable running cost of the machine is $7 per hour. The company absorbs its fixed overhead costs using an absorption rate of $20 per direct labour hour.
Select ALL the true statements.

A) The company absorbs its fixed overhead costs using an absorption rate of $20 per direct labour hour. This is a relevant cost.
B) Material A was a relevant cost.
C) The cost for the production director meeting was a relevant cost.
D) The machine is currently being leased and it has spare capacity so it will either stand idle or be used on this work. The lease cost will be a relevant cost or $10 per hour.
E) The relevant cost is $7100
F) The relevant cost is $7080
G) The relevant cost is $7010
H) The components are to be purchased from HY at a cost of $50 each. This is a relevant cost because it is future expenditure that will be incurred as a result of the work being undertaken.
I) Material B was a relevant cost.

2. JRL manufactures two products from different combinations of the same resources. Unit selling prices and unit cost details for each product are as follows:

* Refer to your answer in the previous question.
The optimal solution to the previous question shows that the shadow prices of skilled labour and direct material A are as follows:
Skilled labour $ Nil Direct Material A $11.70
Explain the relevance of these values to the management of JRL.
Select ALL the true statements.

A) Since material A is one of the binding constraints, if the availability of material A could be increased by one unit, this would change the optimal plan.
B) In a situation such as this, where a number of resources are scarce, the shadow price of any particular scarce resource will depend on whether or not the resource is not binding.
C) The shadow price for skilled labour is NIL because although there is a shortage of skilled labour it does have a constraining effect on output of JR as other resources are more scarce.
D) The decrease in contribution as a result of this change is the value of the shadow price of material A. The shadow price thus represents the maximum premium that should be paid for an additional unit of material A.
E) The shadow price equals the additional contribution that would be earned from one extra unit of a scarce resource.

3. RT produces two products from different quantities of the same resources using a just-in-time (JIT) production system. The selling price and resource requirements of each of the products are shown below:

Market research shows that the maximum demand for products R and T during June 2010 is 500 units and
800 units respectively. This does not include an order that RT has agreed with a commercial customer for the supply of 250 units of R and 350 units of T at selling prices of $100 and $135 per unit respectively. Although the customer will accept part of the order, failure by RT to deliver the order in full by the end of June will cause RT to incur a $10,000 financial penalty. At a recent meeting of the purchasing and production managers to discuss the production plans of RT for June, the following resource restrictions for June were identified:
Direct labour hours 7,500 hours
Material A 8,500 kgs
Material B 3,000 litres
Machine hours 7,500 hours
(Refer to previous 2 questions.)
You have now presented your optimum production plan to the purchasing and production managers of RT.
During your presentation it became clear that the predicted resource restrictions were rather optimistic. In fact, the managers agreed that the availability of all of the resources could be as much as 10% lower than their original predictions.
Assuming that RT completes the order with the commercial customer, and using linear programming, show the optimum production plan for RT for June 2010 on the basis that the availability of all resources is 10% lower than originally predicted.

A) The optimal plan is to produce 500 units of Product R and 550 units of product T in addition to the contract.
B) The optimal plan is to produce 560 units of Product R and 670 units of product T in addition to the contract.
C) The optimal plan is to produce 450 units of Product R and 690 units of product T in addition to the contract.
D) The optimal plan is to produce 550 units of Product R and 650 units of product T in addition to the contract.
E) The optimal plan is to produce 520 units of Product R and 620 units of product T in addition to the contract.
F) The optimal plan is to produce 510 units of Product R and 720 units of product T in addition to the contract.

4. EF manufactures and sells three products, X, Y and Z. The following production overhead costs are budgeted for next year:

Required:
Calculate the total budgeted production overhead cost for each product using activity based budgeting.

A) The total budgeted production overhead cost was $ 1 285 000
B) The total budgeted production overhead cost was $ 1 258 000
C) The total budgeted production overhead cost was $ 2 195 000
D) The total budgeted production overhead cost was $ 1 188 000
E) The total budgeted production overhead cost was $ 1 305 000

5. A company produces a product that requires two materials, Material A and Material B. Details of the material quantities and costs for August are given in the table below.

Budgeted and actual output of the product for August was 12,000 units.
The material mix variance for August is:

A) $ 1, 540 Adverse
B) $ 1, 288 Favourable
C) $ 1, 540 Adverse
D) $ 1, 540 Favourable

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