You want to buy either a wood pellet stove or an electric furnace. The pellet stove
Chapter 8, Problem 82(choose chapter or problem)
Economics You want to buy either a wood pellet stove or an electric furnace. The pellet stove costs $3650 and produces heat at a cost of $19.15 per 1 million Btu (British thermal units). The electric furnace costs $2780 and produces heat at a cost of $33.25 per 1 million Btu.
(a) Write a function for the total cost y of buying the pellet stove and producing x million Btu of heat.
(b) Write a function for the total cost y of buying the electric furnace and producing x million Btu of heat.
(c) Use a graphing utility to graph and solve the system of equations formed by the two cost functions.
(d) Solve the system of equations algebraically.
(e) Interpret the results in the context of the situation.
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