Problem $3.$ Department costing, service company. CKM is an architectural firm that designs and builds buildings. It prices each job on a cost plus $20\%$ basis. Overhead costs in $2014$ are $$4,011,780.$ CKM$\text{'}$s simple costing system allocates overhead costs to its jobs based on number of jobs. There were three jobs in $2014.$ One customer, Sanders, has complained that the cost of its building in Chicago was not competitive. As a result, the controller has initiated a detailed review of the overhead allocation to determine if overhead costs are charged to jobs in proportion to consumption of overhead resources by jobs. She gathers the following information.

$\backslash$table$[[,,,$Quantity of cost drivers used by each project$],[$Department$,$Cost Driver,$\backslash$table$[[$Overhead$],[$costs in $2014]],$Sander,Hanley,Stanley$],[$Design$,\backslash$table$[[$Design$],[$department$],[$hours$]],1,600,00,1,000,5,000,4,000],[$Engineering$,\backslash$table$[[$Number of$],[$Engineers$]],500,000,2,000,2,000,2,200],[$Construction$,$Labor$-$hours,$2,012,000,20,800,21,500,19,600]]$

Compute the overhead allocated to each project in $2014$ using the simple costing system.

Compute the overhead allocated to each project in $2014$ using department overhead cost rates. $3.$ Do you think Sanders had a valid reason for dissatisfaction with the cost? How does the allocation based on department rates change costs for each project?

What value, if any, would CKM get by allocating costs of each department based on the activities done in that department?