Path To College Mathematics
1st Edition
ISBN: 9780134654409
Author: Martin-Gay, K. Elayn, 1955-
Publisher: Pearson,
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Chapter C, Problem 43ES
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optimization theory
A New Heating System
A homeowner wants to replace their old heating system. Energy is measured in
kilowatt-hours (kWh). It takes about 11,700 kWh of energy to heat the house for the winter.
The current heating system uses natural gas and is 60% efficient, which means that for
every 100 kWh of natural gas it uses, it produces 60 kWh of heat. With the homeowner's
current system, it costs $975 to heat the house. Assume that natural gas costs $0.05/kWh
and electricity costs $0.21/kWh.
The homeowner also has an air conditioner that uses 2,500 kWh of electricity per year and
produces 290 kWh of cooling for every 100 kWh it uses. They also have a water heater that
uses 4,300 kWh of electricity per year and produces 90 kWh of heat for every 100 kWh it
uses. These systems could also be replaced if there is a cheaper option, but it isn't
necessary.
Here are three other types of heating systems the homeowner could replace their current
system with:
• A new furnace which also runs on natural gas…
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Chapter C Solutions
Path To College Mathematics
Ch. C - Prob. 1ESCh. C - Prob. 2ESCh. C - Prob. 3ESCh. C - Prob. 4ESCh. C - Prob. 5ESCh. C - Prob. 6ESCh. C - Prob. 7ESCh. C - Prob. 8ESCh. C - Prob. 9ESCh. C - Prob. 10ES
Ch. C - Prob. 11ESCh. C - Prob. 12ESCh. C - Prob. 13ESCh. C - Prob. 14ESCh. C - Prob. 15ESCh. C - Prob. 16ESCh. C - Prob. 17ESCh. C - Prob. 18ESCh. C - Prob. 19ESCh. C - Prob. 20ESCh. C - Prob. 21ESCh. C - Prob. 22ESCh. C - Prob. 23ESCh. C - Prob. 24ESCh. C - Prob. 25ESCh. C - Prob. 26ESCh. C - Prob. 27ESCh. C - Prob. 28ESCh. C - Prob. 29ESCh. C - Prob. 30ESCh. C - Prob. 31ESCh. C - Prob. 32ESCh. C - Prob. 33ESCh. C - Prob. 34ESCh. C - Prob. 35ESCh. C - Prob. 36ESCh. C - Prob. 37ESCh. C - Prob. 38ESCh. C - Prob. 39ESCh. C - Prob. 40ESCh. C - Prob. 41ESCh. C - Prob. 42ESCh. C - Prob. 43ESCh. C - Prob. 44ESCh. C - Prob. 45ESCh. C - Prob. 46ESCh. C - Prob. 47ESCh. C - Prob. 48ESCh. C - Prob. 49ESCh. C - Prob. 50ESCh. C - 12,000 good assembly line products to 40 defective...Ch. C - Prob. 52ESCh. C - Prob. 53ESCh. C - Prob. 54ESCh. C - Prob. 55ESCh. C - Prob. 56ESCh. C - Prob. 57ESCh. C - Prob. 58ESCh. C - Prob. 59ESCh. C - Prob. 60ESCh. C - Prob. 61ESCh. C - Prob. 62ESCh. C - Prob. 63ESCh. C - Prob. 64ESCh. C - Prob. 65ESCh. C - Prob. 66ESCh. C - Prob. 67ESCh. C - Prob. 68ESCh. C - Prob. 69ESCh. C - Prob. 70ES
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