141. The firm of Miller, Lombardi, and York was recently formed by the merger of two
companies providing accounting services. York’s business was providing personal financial
planning, while Miller and Lombardi conducted audits of small governmental units and provided
tax-planning and preparation services for several commercial firms. The combined firm has
leased new offices and acquired several microcomputers that are used by the professional staff
in each area of service. However, in the short run the firm does not have the financial resources
to acquire computers for all of its professional staff.
The expertise of the professional staff can be divided into three distinct areas that match the
services provided by the firm, i.e., tax preparation and tax planning, insurance and investments,
and auditing. However, since the merger, the new firm has to turn away business in all three
service lines. One of the problems is that while the total number of staff seems adequate, the
staff members are not completely interchangeable. Limited financial resources do not permit
hiring any new staff in the near future, and therefore, the supply of staff is restricted in each
area.
Rick Oliva has been assigned the responsibility of allocating staff and computers to the various
engagements. Management has given Oliva the objective of maximizing revenues in a manner
consistent with maintaining a high level of professional service in each of the areas of service.
Management’s time is billed at $200 per hour and staff‘s time is billed at $140 per hour for those
with experience, and $100 per hour for inexperienced staff. Pam Wren, a member of the staff,
recently completed a course in managerial accounting at the local university. She suggested to
Oliva, based on material covered in the course she took, that he use linear programming to
determine how best to assign staff and computers to the various engagements.
Required:
1. Identify and discuss the assumptions underlying the linear programming model.
2. Explain the reasons why linear programming would be appropriate for Miller, Lombardi, and
York to use in making staff assignments.
3. Identify and discuss the data that would be needed to develop a linear programming model for
Miller, Lombardi, and York.
4. Discuss objectives other than revenue maximization that Rick Oliva should consider before
making staff allocations.