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Jones Manufacturing Has Used Activity Based Costing to Assign Costs

question 144

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Jones manufacturing has used activity based costing to assign costs to Models X and Y as given in the table below:
 ModelX  ModelY  Units produced 24,00030,000 Machine hours 7,5008,500 Direct labour hours 8,00012,000 Material handling (number of moves)  4,0006,000 Setups 5,0007,000 Purchase orders 3040 nspections 10,00014,000 Product line variatinns. 812\begin{array}{lrr}& \text { ModelX } & \text { ModelY } \\\text { Units produced } & 24,000 & 30,000 \\\text { Machine hours } & 7,500 & 8,500 \\\text { Direct labour hours } & 8,000 & 12,000 \\\text { Material handling (number of moves) } & 4,000 & 6,000 \\\text { Setups } & 5,000 & 7,000 \\\text { Purchase orders } & 30 & 40 \\\text { nspections } & 10,000 & 14,000 \\\text { Product line variatinns. } & 8 & 12\end{array}
The following overhead costs are reported for the following activities of the production process:
 Material handling $40,000 Labour-related overhead 120,000 Setups 60,000 Product design 100,000 Batch inspections 120,000 Central purchasing 70,000\begin{array}{lr}\text { Material handling } & \$ 40,000 \\\text { Labour-related overhead } & 120,000 \\\text { Setups } & 60,000 \\\text { Product design } & 100,000 \\\text { Batch inspections } & 120,000 \\\text { Central purchasing } & 70,000\end{array} Jones manufacturing has used activity based costing to assign costs to Models X and Y as given in the table below:
 Activity  Cost  Pool  Model  Model X  Model  Model Y  Pool  Driver  Rate  X  Cost  Y  Cost  Total  Activity  Activity  Material  handling $40,00010,000$44,000$16,0006,000$24,000$40,000 Labour-  related  overhead $120,00020,000$68,000$48,00012,000$72,000$120,000 Setups $60,00012,000$55,000$25,0007,000$35,000$60,000 Product  design $100,00020$5,0008$40,00012$60,000$100,000 Batch  inspections $120,00024,000$510,000$50,00014,000$70,000$120,000 Central  purchasing $70,00070$1,00030$30,00040$40,000$70,000 Total $209,000$301,000$510,000\begin{array}{|l|r|r|r|r|r|r|r|r|}\hline\text { Activity } & \text { Cost } & & \text { Pool } & \text { Model } & \text { Model X } & \text { Model } & \text { Model Y } \\&\text { Pool } & \text { Driver } & \text { Rate } & \text { X }& \text { Cost } & \text { Y } & \text { Cost } & \text { Total } \\&&&&\text { Activity } & & \text { Activity } & &\\\hline \begin{array}{l}\text { Material } \\\text { handling }\end{array} & \$ 40,000 & 10,000 & \$ 4 & 4,000 & \$ 16,000 & 6,000 & \$ 24,000 & \$ 40,000 \\\hline \begin{array}{l}\text { Labour- } \\\text { related } \\\text { overhead }\end{array} & \$ 120,000 & 20,000 & \$ 6 & 8,000 & \$ 48,000 & 12,000 & \$ 72,000 & \$ 120,000 \\\hline \text { Setups } & \$ 60,000 & 12,000 & \$ 5 & 5,000 & \$ 25,000 & 7,000 & \$ 35,000 & \$ 60,000 \\\hline \begin{array}{l}\text { Product } \\\text { design }\end{array} & \$ 100,000 & 20 & \$ 5,000 & 8 & \$ 40,000 & 12 & \$ 60,000 & \$ 100,000 \\\hline \begin{array}{l}\text { Batch } \\\text { inspections }\end{array} & \$ 120,000 & 24,000 & \$ 5 & 10,000 & \$ 50,000 & 14,000 & \$ 70,000 & \$ 120,000 \\\hline \begin{array}{l}\text { Central } \\\text { purchasing }\end{array} & \$ 70,000 & 70 & \$ 1,000 & 30 & \$ 30,000 & 40 & \$ 40,000 & \$ 70,000 \\\hline \text { Total } & & & & & \$ 209,000 & & \$ 301,000 & \$ 510,000\\\hline\end{array} Jones Manufacturing wants to implement an approximately relevant ABC system by using the two most expensive activities for cost assignment.
-Refer to the figure.Under this new approach using consumption ratios for labour-related and machine hours,what set of equations (rounded to two decimal places) would be used to create equally accurate reduced ABC allocation rates (where a = labour hours and b = machine hours) ?


Definitions:

Human Lungs

The pair of respiratory organs located in the chest, responsible for gas exchange between the air and the blood, providing oxygen and removing carbon dioxide.

Pleura

A double-layered membrane surrounding each lung, providing lubrication and facilitating the lungs' movements during breathing.

Pericardium

The fibrous sac that surrounds the heart, providing it with protection and the lubrication necessary for efficient movement.

Peritoneum

A membrane that lines the abdominal cavity and covers the abdominal organs.

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