Appleby Manufacturing Uses an Activity-Based Costing System The Following Overhead Costs Are Reported for the Following Activities

Appleby Manufacturing uses an activity-based costing system. The company produces Model F and Model G. Information relating to the two products is as follows: $$\begin{array} { l r r } & \text { Model } \mathrm { F } & \text { Model } \mathrm { G } \\\text { Units produced } & 24,000 & 30,000 \\\text { Machine hours } & 7,500 & 8,500 \\\text { Direct labor hours } & 8,000 & 12,000 \\\text { Material handling (number of moves) } & 4,000 & 6,000 \\\text { Setups } & 5,000 & 7,000 \\\text { Purchase orders } & 30 & 40 \\\text { Inspections } & 10,000 & 14,000 \\\text { Product line variations } & 8 & 12\end{array}$$ The following overhead costs are reported for the following activities of the production process: $$\begin{array} { l r } \text { Material handling } & \$ 40,000 \\\text { Labor-related overhead } & 120,000 \\\text { Setups } & 60,000 \\\text { Product design } & 100,000 \\\text { Batch inspections } & 120,000 \\\text { Central purchasing } & 70,000\end{array}$$
Jones manufacturing has used activity based costing to assign costs to Models F and G as given in the table below: $\begin{array}{|l|c|l|c|c|c|c|c|c|}\hline\text { Activity } & \text { Cost Pool } & \text { Driver } & \begin{array}{c}\text { Pool } \\\text { Rate }\end{array} & \begin{array}{c}\text { Model F } \\\text { Activity }\end{array} & \begin{array}{c}\text { Model F } \\\text { Cost }\end{array} & \begin{array}{c}\text { Model G } \\\text { Activity }\end{array} & \begin{array}{c}\text { Model G } \\\text { Cost }\end{array} & \text { Total } \\\hline \begin{array}{l}\text { Material } \\\text { handling }\end{array} & \$ 40,000 & 10,000 & \$ 4 & 4,000 & \$ 16,000 & 6,000 & \$ 24,000 & \$ 40,000 \\\hline \text { Labor related } & \$ 120,000 & 20,000 & \$ 6 & 8,000 & \$ 48,000 & 12,000 & \$ 72,000 & \$ 120,000 \\\text { overhead }\\\hline \text { Setups } & \$ 60,000 & 12,000 & \$ 5 & 5,000 & \$ 25,000 & 7,000 & \$ 35,000 & \$ 60,000 \\\hline \begin{array}{l}\text { Product } \\\text { design }\end{array} & \$ 100,000 & 20 & \$ 5,000 & 8 & \$ 40,000 & 12 & \$ 60,000 & \$ 100,000 \\\hline \begin{array}{l} \text { Batch }\\\text { Inspections }\end{array} & \$ 120,000 & 24,000 & \$ 5 & 10,000 & \$ 50,000 & 14,000 & \$ 70,000 & \$ 120,000 \\\hline \begin{array}{l} \text { Central }\\\text { purchasing }\end{array} & \$ 70,000 & 70 & \$ 1,000 & 30 & \$ 30,000 & 40 & \$ 40,000 & \$ 70,000 \\\hline\text { total }&&&&&\$209,000&&\$301,000&\$510,000\\\hline\end{array}$
Appleby Manufacturing wants to implement an approximately relevant ABC system by using the two most expensive activities for cost assignment.
Under this new approach using consumption ratios for labor related and batch inspections, what set of equations would be used to create equally accurate reduced ABC allocation rates (where a = labor hours and b = batch inspections) ? (round to 5 decimal places)

A) 0.40 = 0.8a + 0.75b0.60 = 0.12a + 0.85b
B) 0.41 = 0.4a + 0.41667b0.59 = 0.6a + 0.58333b
C) 0.50 = 0.4a + 0.6b0.50 = 0.6a + 0.4b
D) 0.44 = 0.8a + 0.75b0.56 = 0.12a + 0.85b