A clothing company owns 2 outlets, one in Los Angeles and one in Cleveland. The Los Angeles store sales are $500,000, their variable costs are $150,000 and their direct fixed costs are $75,000. The Cleveland store sales are $50,000, their variable costs are $15,000 and their direct fixed costs are $7,500. The head office’s incurred fixed costs of $50,000 that were assigned to each store as allocated fixed costs of $25,000 each. What would be the effect on each store’s operating income if the allocated fixed costs from the head office were assigned proportionally to sales?Select answer from the options belowThere will be no change in the Operating Income of the storesThe allocated fixed costs will decrease both stores’ operating income proportionally.The operating income from Los Angeles’ operating income will decrease from $250,000 to $205,000 and Cleveland store’s operating income will increase from $2,500 to $25,000The Operating Income from Los Angeles’ operating income will decrease from $250,000 to $230,000 and Cleveland store’s operating income will increase from $2,500 to $22,500.
Question
A clothing company owns 2 outlets, one in Los Angeles and one in Cleveland. The Los Angeles store sales are 150,000 and their direct fixed costs are 50,000, their variable costs are 7,500. The head office’s incurred fixed costs of 25,000 each. What would be the effect on each store’s operating income if the allocated fixed costs from the head office were assigned proportionally to sales?Select answer from the options belowThere will be no change in the Operating Income of the storesThe allocated fixed costs will decrease both stores’ operating income proportionally.The operating income from Los Angeles’ operating income will decrease from 205,000 and Cleveland store’s operating income will increase from 25,000The Operating Income from Los Angeles’ operating income will decrease from 230,000 and Cleveland store’s operating income will increase from 22,500.
Solution
First, let's calculate the current operating income for each store.
Operating income is calculated as Sales - Variable Costs - Direct Fixed Costs - Allocated Fixed Costs.
For the Los Angeles store: Operating income = 150,000 - 25,000 = $250,000
For the Cleveland store: Operating income = 15,000 - 25,000 = $2,500
Next, let's calculate the proportion of sales for each store.
The total sales for both stores is 50,000 (Cleveland) = $550,000
The proportion of sales for the LA store is 550,000 = 0.9091 (or 90.91%) The proportion of sales for the Cleveland store is 550,000 = 0.0909 (or 9.09%)
If the allocated fixed costs from the head office were assigned proportionally to sales, the LA store would receive 90.91% of the 45,455. The Cleveland store would receive 9.09% of the 4,545.
The new operating income for the LA store would be 150,000 - 45,455 = 50,000 - 7,500 - 22,955
So, the correct answer is: The Operating Income from Los Angeles’ operating income will decrease from 229,545 and Cleveland store’s operating income will increase from 22,955. However, this option is not given in the choices. The closest option is "The Operating Income from Los Angeles’ operating income will decrease from 230,000 and Cleveland store’s operating income will increase from 22,500."
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