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1. 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 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.)
C) 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.)
D) 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.)
E) 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.)
F) 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.)
2. Explain why sensitivity analysis is useful when dealing with uncertainty in project appraisal.
Select all the true statements.
A) Sensitivity analysis enables a company to determine the effect of changes to variables on the planned outcome
B) In project appraisal, an analysis can be made if all the key variables to ascertain by how much variable would need to change before the net present value (NPV) reaches zero i.e. the indifference point.
C) Sensitivity analysis enables a company to determine the effect of changes to fixed costs on the planned outcome
D) In project appraisal, in analysis can be made of all the key variables to ascertain by how much each variable would need to change before the net present value (NPV) reaches 100% i.e. the maximum point.
3. LM operates a parcel delivery service. Last year its employees delivered 15,120 parcels and travelled 120,960 kilometers. Total costs were $194,400.
LM has estimated that 70% of its total costs are variable with activity and that 60% of these costs vary with the number of parcels and the remainder vary with the distance travelled.
LM is preparing its budget for the forthcoming year using an incremental budgeting approach and has produced the following estimates:
* All costs will be 3% higher than the previous year due to inflation
* Efficiency will remain unchanged
* A total of 18,360 parcels will be delivered and 128,800 kilometers will be travelled.
Calculate the following costs to be included in the forthcoming year's budget:
(i) the total variable costs related to the number of parcels delivered.
(ii) the total variable costs related to the distance travelled.
A) Parcel related cost for next year = $112,308; Distance related costs for next year = $79,590
B) Parcel related cost for next year = $109,118; Distance related costs for next year = $89,699
C) Parcel related cost for next year = $105,306; Distance related costs for next year = $30,590
D) Parcel related cost for next year = $115,306; Distance related costs for next year = $31,590
E) Parcel related cost for next year = $112,118; Distance related costs for next year = $59,699
4. JRL manufactures two products from different combinations of the same resources. Unit selling prices and unit cost details for each product are as follows:
The optimal solution in 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.
What is the additional contribution that can be earned?
A) Thus the additional contribution that can be earned and therefore the penalty value at which WRX would decide not to supply the major customer order in full is $5, 825
B) Thus the additional contribution that can be earned and therefore the penalty value at which WRX would decide not to supply the major customer order in full is $4, 825
C) Thus the additional contribution that can be earned and therefore the penalty value at which WRX would decide not to supply the major customer order in full is $3, 825
D) Thus the additional contribution that can be earned and therefore the penalty value at which WRX would decide not to supply the major customer order in full is $4, 570
5. A company produces three products D, E and F. The statement below shows the selling price and product costs per unit for each product, based on a traditional absorption costing system.
Each of the products is produced using Process A which has a maximum capacity of 2,500 hours per period.
If a traditional contribution approach is used, the ranking of products, in order of priority, for the profit maximizing product mix will be:
A) D, E, F
B) E, D, F
C) F, D, F
D) D, E, F
Solutions:
Question # 1 Answer: F | Question # 2 Answer: A,B | Question # 3 Answer: E | Question # 4 Answer: B | Question # 5 Answer: C |
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