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​Tri-County G&T sells 145,000 MWh per year of electrical power to Boulder at ​$ per​ MWh, has fixed costs of ​$ million per​ year, and has variable costs of ​$ per MWh. If​ Tri-County has MWh of demand from its customers​ (other than​ Boulder), what will​ Tri-County have to charge to break​ even?

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Answer:

$105.85

Explanation:

Given that :

Fixed cost = $83.1 million

Variable cost = $30 / MWh

Number of demand, $1,000,000 MWh

Variable cost to other customers =[(1,000,000 + 145000) * $30) = $34350000

To break even :

Total Cost = Total revenue

(fixed Cost + variable cost) = total revenue

Let amount per MWh required to break even = x (amount sold to other customers)

(83100000 + 34350000) = (145000*80 + 1000000x)

117450000 = 11600000 + 1000000x

117450000 - 11600000 = 1000000x

105850000 = 1000000x

x = 105850000 / 1000000

x = $105.85