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

Identify, using graphical linear programming, the weekly production schedule for products J and L that will maximize the profits of JRL during the next four weeks.

• A. The solution from the graph is to produce 315 units of J and 290 units of L. (A simplex solution shows the true optimum to be 316.333 units of J and 293.333 units of L.)
• B. The solution from the graph is to produce 312 units of J and 295 units of L. (A simplex solution shows the true optimum to be 312.333 units of J and 294.999 units of L.)
• C. The solution from the graph is to produce 330 units of J and 280 units of L. (A simplex solution shows the true optimum to be 332.333 units of J and 283.333 units of L.)
• D. The solution from the graph is to produce 310 units of J and 280 units of L. (A simplex solution shows the true optimum to be 308.333 units of J and 283.333 units of L.)
• E. The solution from the graph is to produce 317 units of J and 270 units of L. (A simplex solution shows the true optimum to be 316.666 units of J and 269.666 units of L.)
• F. The solution from the graph is to produce 330 units of J and 290 units of L. (A simplex solution shows the true optimum to be 332.333 units of J and 293.333 units of L.)

CDF is a manufacturing company within the DF group. CDF has been asked to provide a quotation for a contract for a new customer and is aware that this could lead to further orders. As a consequence, CDF will produce the quotation by using relevant costing instead of its usual method of full cost plus pricing. The
following information has been obtained in relation to the contract: Material D 40 tons of material D would be required. This material is in regular use by CDF and has a current purchase price of $38 per ton. Currently, there are 5 tons in inventory which cost $35 per ton. The resale value of the material in inventory is $24 per ton.
Components 4,000 components would be required. These could be bought externally for $15 each or alternatively they could be supplied by RDF, another company within the DF manufacturing group. The variable cost of the component if it were manufactured by RDF would be $8 per unit, and RDF adds 30% to its variable cost to contribute to its fixed costs plus a further 20% to this total cost in order to set its internal transfer price. RDF has sufficient capacity to produce 2,500 components without affecting its ability to satisfy its own external customers. However, in order to make the extra 1,500 components required by CDF, RDF would have to forgo other external sales of $50,000 which have a contribution to sales ratio of 40%.
Labour hours 850 direct labour hours would be required. All direct labour within CDF is paid on an hourly basis with no guaranteed wage agreement. The grade of labour required is currently paid $10 per hour, but department W is already working at 100% capacity. Possible ways of overcoming this problem are:
* Use workers in department Z, because it has sufficient capacity. These workers are paid $15 per hour.
* Arrange for sub-contract workers to undertake some of the other work that is performed in department W.
The sub-contract workers would cost $13 per hour.
Specialist machine The contract would require a specialist machine. The machine could be hired for $15,000 or it could be bought for $50,000. At the end of the contract if the machine were bought, it could be sold for
$30,000. Alternatively, it could be modified at a cost of $5,000 and then used on other contracts instead of buying another essential machine that would cost $45,000. The operating costs of the machine are payable by CDF whether it hires or buys the machine. These costs would total $12,000 in respect of the new contract.
Supervisor The contract would be supervised by an existing manager who is paid an annual salary of $50,000 and has sufficient capacity to carry out this supervision. The manager would receive a bonus of $500 for the additional work.
Development time 15 hours of development time at a cost of $3,000 have already been worked in determining the resource requirements of the contract.
Fixed overhead absorption rate CDF uses an absorption rate of $20 per direct labour hour to recover its general fixed overhead costs. This includes $5 per hour for depreciation.
Calculate the relevant cost of the contract to CDF. You must present your answer in a schedule that clearly shows the relevant cost value for each of the items identified above. You should also explain each relevant cost value you have included in your schedule and why any values you have excluded are not relevant.
Ignore taxation and the time value of money.
Select all the true statements.

• A. Development Cost is a relevant cost.
• B. General fixed overhead costs are relevant costs.
• C. Direct labour cist is a relevant cost
• D. The total relevant cost was $104 320
• E. The total relevant cost was $94 740
• F. Machine operating costs is a relevant cost.
• G. The total relevant cost was $84 990

QR uses an activity based budgeting (ABB) system to budget product costs. It manufactures two products, product Q and product R. The budget details for these two products for the forthcoming period are as follows:

The total budgeted cost of setting up the machines is $74,400.
Select TWO potential benefits of using an activity based budgeting system.

• A. Activity based budgeting provides a clear framework for understanding the link between turnover and the level of activity.
• B. Activity based budgeting allows the identification of value added and non-value added activity and ensures that any budget cuts are made to non-value added activities.
• C. Activity based budgeting allows the ranking of activities and the determination of how limited resources should be allocated across competing activities.
• D. Activity based budgeting is useful for the review of quality systems utilization.

A company is preparing its annual budget and is estimating the number of units of Product W that it will sell in each quarter of year 2. Past experience has shown that the trend for sales of the product is represented by the following relationship:

Calculate the expected unit sales of Product W for each quarter of year 2, after adjusting for seasonal variations using the multiplicative model.

• A. The sales forecast for year 2 Quarter 4 = 35,100 units
• B. The sales forecast for year 2 Quarter 4 = 38,100 units
• C. The sales forecast for year 2 Quarter 4 = 22,600 units
• D. The sales forecast for year 2 Quarter 4 = 25,100 units

Calculate the sensitivity of the investment decision to a change in the annual fixed costs.
By how much should the present value of the fixed cost increase, before this project is not viable?

• A. $8675
• B. $7698
• C. $6390
• D. $9050