Using the reciprocal services method, which of the following equations represents the correct algebraic expression needed to capture the total costs of a Janitorial Department (J) that includes $350,000 of direct costs and 30% of the Maintenance Department (M) cost and the Maintenance Department that includes $50,000 of direct costs and 50% of the Janitorial Department? (Hint: This equation is derived from the two separate equations representing each department's costs.) Group of answer choices J = $350,000 + (0.30 : $50,000) + (0.50 : J) J = ($350,000 * 0.30) + ($50,000 * 0.50) + J J = $350,000 - [ (0.30 * $50,000) - (0.50 * J) ] J = $350,000 + {0.30 * [$50,000 + (0.50 * J) ]}

Question

Business

Giovanni

31 August, 14:58

Using the reciprocal services method, which of the following equations represents the correct algebraic expression needed to capture the total costs of a Janitorial Department (J) that includes $350,000 of direct costs and 30% of the Maintenance Department (M) cost and the Maintenance Department that includes $50,000 of direct costs and 50% of the Janitorial Department? (Hint: This equation is derived from the two separate equations representing each department's costs.) Group of answer choices J = $350,000 + (0.30 : $50,000) + (0.50 : J) J = ($350,000 * 0.30) + ($50,000 * 0.50) + J J = $350,000 - [ (0.30 * $50,000) - (0.50 * J) ] J = $350,000 + {0.30 * [$50,000 + (0.50 * J) ]}

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Answers (1)

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Bradley Johnson · Answer 1

J = $350,000 + {0.30 * [$50,000 + (0.50 * J) ]}

Explanation:

Data provided in the question

Janitorial Department (J) that includes $350,000 of direct costs and 30% of the Maintenance Department (M)

i. e., J = $350,000 + (30% * M)

And

Maintenance dept. (M) includes $50000 of direct costs and also 50% of the janitorial dept. (J)

i. e., M = $50,000 + (50% * J)

Therefore

The equation is shown below:

J = $350,000 + (0.30 * M) and M = $50,000 + (0.50 * J)

Now put the M values in the J equation

J = $350,000 + {0.30 * [$50,000 + (0.50 * J) ]}