The following is a system of simultaneous linear equations to
allocate costs using the reciprocal method. Matrix algebra is
not required.
The following costs were incurred in three operating departments
and three service departments in Westmoreland Company.
| Department | Direct Costs | Label | ||
| Subassemblies | $ | 560,000 | P1 | |
| Final assembly | 785,000 | P2 | ||
| Marketing | 295,000 | P3 | ||
| Building occupancy | 95,000 | S1 | ||
| Research & development | 130,000 | S2 | ||
| Supervision | 55,000 | S3 | ||
Use of services by other departments is as follows.
| User Departments | ||||||
| Service Cost Center | Sub-assemblies | Final Assembly |
Marketing | Building Occupancy | R&D | Supervision |
| Building occupancy | 0.40 | 0.25 | 0.15 | --- | 0.10 | 0.10 |
| R&D | 0.50 | 0.50 | --- | --- | --- | --- |
| Supervision | 0.30 | 0.30 | 0.20 | 0.10 | 0.10 | --- |
The equation for department P1 (subassemblies) is:
P1 = $560,000 + 0.25P2 + 0.15P3 + 0.10S2 + 0.10S3.
P1 = $560,000 + 0.40S1 + 0.50S2 + 0.30S3.
P1 = 0.40S1 + 0.50S2 + 0.30S3.
P1 = 0.40S1 + 0.50S.
Solution:
The equation for department P1 (subassemblies) is = $560,000 + 0.40S1 + 0.50S2 + 0.30S3
Hence 2nd option is correct.
The following is a system of simultaneous linear equations to allocate costs using the reciprocal method....
The following is a system of simultaneous linear equations to allocate costs using the reciprocal method. Matrix algebra is not required. The following costs were incurred in three operating departments and three service departments in Westmoreland Company. Department Direct Costs Label Subassemblies $ 561,000 P1 Final assembly 786,000 P2 Marketing 296,000 P3 Building occupancy 96,000 S1 Research & development 131,000 S2 Supervision 56,000 S3 Use of services by other departments is as follows. User Departments Service Cost Center Sub-assemblies...
The following is a system of simultaneous linear equations to allocate costs using the reciprocal method. Matrix algebra is not required. The following costs were incurred in three operating departments and three service departments in Westmoreland Company. Label P2 Department Subassemblies Final assembly Marketing Building occupancy Research & development Supervision Direct Costs $552,000 777,000 287,000 87,000 122,000 47,000 Use of services by other departments is as follows. Sub- Service Cost Center assemblies Building occupancy 0.30 R&D 0.50 Supervision 0.20 Final...
The following is a system of simultaneous linear equations to allocate costs using the reciprocal method. Matrix algebra is not required. The following costs were incurred in three operating departments and three service departments in Westmoreland Company. Department Subassemblies Final assembly Marketing Building occupancy Research & development Direct Costs Label $554, 000 P1 779, 000 289, 000 89, 000 P2 P3 s1 124, 000 49, 000 S2 Supervision S3 Use of services by other departments is as follows. User Departments...
The following set up is a system of simultaneous linear equations to allocate costs using the reciprocal method. Matrix algebra is not required. The following costs were incurred in three operating departments and three service departments in Westmoreland Company. Department Direct Costs Label Subassemblies $ 550,000 P1 Final assembly 775,000 P2 Marketing 285,000 P3 Building occupancy 85,000 S1 Research & development 120,000 S2 Supervision 45,000 S3 Use of services by other departments is as follows. User Department Service Cost...
Using the reciprocal services method, which of the following equations represents the algebraic expressions for the two equations needed to capture the total costs of a Janitorial Department (J) that includes not only $350,000 of direct 1 costs but also 30% of the Maintenance Department (M) cost and the Maintenance Department that includes not only $50,000 of direct costs but also 50% of the Janitorial Department? J = $350,000 - (0.30 x M) and M = $50,000 - (0.50 x...