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 The cost of operating the Maintenance Department is to be allocated to four production departments based on the floor space each occupies

Math Dec 19, 2020

 The cost of operating the Maintenance Department is to be allocated to four production departments based on the floor space each occupies. Department A occupies 900 m2. Department B, 900 m2Department C, 1000 m²; and Department D. 500 m2. If the July cost was $39,600, how much of the cost of operating the Maintenance Department should be allocated to each production department? 

Expert Solution

Let the cost of operating for per square metre is $x

According to the question,

900x + 900x + 1000x +500x = 39600

or, 3300x = 39600

or, x = 39600 / 3300

or, x = 12

The operating cost for Department A is $(900 x 12) = $ 10800

The operating cost for Department B is$( 900 x 12) = $10800

The operating cost for Department C is $(1000 x 12) =$12000

The operating cost for Department D is $(500 x 12) = $6000

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