Answer to Question 1
As a general rule, employees have a duty to cooperate with internal (fraud) investigations as long as the information requested is reasonable. Moreover, they do not have the right to be represented by counsel during an interview. An employee's constitutional rights under the Fifth and Sixth Amendments are triggered when he or she is confronted with a state action. Thus, private employers cannot be sued for Fifth or Sixth Amendment violations. Public employees may, without administrative penalty, refuse to answer questions from a forensic accountant if they have exposure to criminal liability. If unsure of any such exposure, the employee is allowed to contact an attorney before being interviewed. However, an employee, whether public or private, can be fired for refusing to answer questions or to be interviewed during an administrative or civil proceeding. Special consideration is required if an interviewee is a union employee. Union employees have the right to union representation during an investigative interview, provided the employee reasonably believes he or she has exposure to disciplinary action.
Answer to Question 2
1. Sales of A, B, and C are in ratio 24,000 : 96,000 : 48,000. So for every 1 unit of A, 4 (96,000 24,000) units of B are sold, and 2 (48,000 24,000) units of C are sold.
Contribution margin of the bundle = 1 5+ 4 4 + 2 3 = 5 + 16 + 6 = 27
Breakeven point in bundles = = 15,000 bundles
Breakeven point in units is:
Product A: 15,000 bundles 1 unit per bundle 15,000 units
Product B: 15,000 bundles 4 units per bundle 60,000 units
Product C: 15,000 bundles 2 units per bundle 30,000 units
Total number of units to breakeven 105,000 units
Alternatively,
Let Q = Number of units of A to break even
4Q = Number of units of B to break even
4Q = Number of units of C to break even
Contribution margin Fixed costs = Zero operating income
5Q + 4(4Q) + 3(2Q) 405,000 = 0
27Q = 405,000
Q = 15,000 (405,000 27) units of A
4Q = 60,000 units of B
2Q = 30,000 units of C
Total = 105,000 units
2. Contribution margin:
A: 24,000 5 120,000
B: 96,000 4 384,000
C: 48,000 3 144,000
Contribution margin 648,000
Fixed costs 405,000
Operating income 243,000
3. Contribution margin
A: 24,000 5 120,000
B: 48,000 4 192,000
C: 96,000 3 288,000
Contribution margin 600,000
Fixed costs 405,000
Operating income 195,000
Sales of A, B, and C are in ratio 24,000 : 48,000 : 96,000. So for every 1 unit of A, 2 (48,000 24,000) units of B and 4 (96,000 24,000) units of C are sold.
Contribution margin of the bundle = 1 5 + 2 4 + 4 3 = 5 + 8 + 12 = 25
Breakeven point in bundles = = 16,200 bundles
Breakeven point in units is:
Product A: 16,200 bundles 1 unit per bundle 16,200 units
Product B: 16,200 bundles 2 units per bundle 32,400 units
Product C: 16,200 bundles 4 units per bundle 64,800 units
Total number of units to breakeven 113,400 units
Alternatively,
Let Q = Number of units of A to break even
2Q = Number of units of B to break even
4Q = Number of units of C to break even
Contribution margin Fixed costs = Breakeven point
5Q + 4(2Q) + 3(4Q) 405,000 = 0
25Q = 405,000
Q = 16,200 (405,000 25) units of A
4Q = 32,400 units of B
5Q = 64,800 units of C
Total = 113,400 units
Breakeven point increases because the new mix contains less of the higher contribution margin per unit, product B, and more of the lower contribution margin per unit, product C.
4. No, it is not always better to choose the sales mix with the lowest breakeven point because this calculation ignores the demand for the various products. The company should look to and sell as much of each of the three products as it can to maximize operating income even if this means that this sales mix results in a higher breakeven point.