Question

APPLY YOUR KNOWLEDGE Lakeville High School uses oil and electricity to heat and light the school. The total square footage of the school is 30,000 ft2. The school used 390,000 gallons of oil in 2017 at a cost of $52.00 per barrel. There are 42 gallons in a barrel. The school also used 2,700,000 kWh of electricity at $0.075 per kWh.
A. What is the total cost of utilities for the school?

B. Calculate the number of BTU used per square foot per year. There are 150,000 BTU in 1 gallon of oil, and 3,413 BTU per kWh.

C. Calculate the cost per square foot per year for utilities.

Answer 1

The Total cost of utilities is $685357

Utilities

Utilities are the basic services your home, apartment, or business needs to keep it comfortable and functioning properly.

A) Cost of oil = 390000 gallons of oil / (42 gallons per barrel) * $52 per barrel = $482857

Cost of electricity = 2,700,000 kWh * $0.075 per kWh = $202500

Total cost of utilities = $482857 + $202500 = $685357

B) Number of BTU = (390000 gallons of oil * 150,000 BTU in 1 gallon) + (3,413 BTU per kWh * 2,700,000 kWh) = 6.77151 * 10¹⁰ BTU

BTU per ft² = 6.77151 * 10¹⁰ BTU / 30000 ft² = 2257170 BTU per ft²

C) Cost per ft² = $685357 / 30000 = $22.85 per ft²

The Total cost of utilities is $685357

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