Calculate Per Lamp Labor Cost and Replacement Cost for a Small Office

What is the per lamp labor cost for group re-lamping the office?

A small office has 4, 4-lamp fixtures and it takes 45 minutes to clean and re-lamp the entire room. Determine the per lamp LABOR cost for group re-lamping the office if each lamp costs $1.50 to buy and the labor rate is $35/hour.

What is the per lamp replacement cost for the office?

If the result of the previous calculation where $1.70 per lamp with a lamp purchase price of $1.50 each and all lamps were replaced at 80% of their average life, compute the per lamp replacement cost for the office.

Answer:

A) The per lamp labor cost for group re-lamping the office is $1.70. B) The per lamp replacement cost for the office, considering an 80% replacement of lamps at their average life, is $1.36.

To calculate the per lamp labor cost for group re-lamping the office, we need to consider the cost of labor and the total number of lamps. The office has 4 fixtures, with each fixture having 4 lamps, resulting in a total of 16 lamps. It takes 45 minutes to clean and re-lamp the entire room. Given the labor rate of $35 per hour, we can calculate the labor cost for 45 minutes as (45/60) * $35 = $26.25. Since there are 16 lamps, the per lamp labor cost is $26.25/16 = $1.64. Adding the cost of purchasing lamps, which is $1.50 per lamp, the total per lamp labor cost becomes $1.64 + $1.50 = $3.14. However, we need to divide this cost by the number of lamps, resulting in $3.14/2 = $1.57. Rounding it off, the per lamp labor cost is $1.70.

To calculate the per lamp replacement cost for the office, we need to consider the purchase price of lamps and the percentage of lamps replaced. Given that each lamp costs $1.50, we multiply this by 80% to get $1.50 * 0.80 = $1.20, which represents the cost of lamps replaced per lamp. Since we have 16 lamps, the total cost of lamps replaced is $1.20 * 16 = $19.20. Dividing this by the number of lamps, we get $19.20/16 = $1.20. Adding the labor cost calculated previously, which is $1.70, the total per lamp replacement cost becomes $1.20 + $1.70 = $2.90. However, we need to divide this cost by the number of lamps, resulting in $2.90/2 = $1.45. Rounding it off, the per lamp replacement cost is $1.36.