The gallons of natural gas that the petroleum refinery must sell to break even each month is A. 86,957.
Data and Calculations:
Variable cost of refining gasoline per gallon = $0.39
Selling price of gasoline per gallon = $2.11
Contribution margin per gallon of gasoline = $1.72 ($2.11 - $0.39)
Variable cost of refining natural gas per gallon = $0.39
Selling price of natural gas per gallon = $1.60
Contribution margin per gallon of natural gas = $1.21 ($1.60 - $0.39)
Contribution margin per two gallons of natural gas = $2.42 since twice of natural gas must be produced.
Fixed costs = $180,000
Break-even point in units for gasoline = Fixed costs/Contribution margin per unit
= 43,478.26 ($180,000/$4.14)
Break-even point in units for natural gas = 86,957 (43,478.26 x 2) gallons.
At the break-even point, the Petroleum Refinery will not make any profit or loss for both gasoline and natural gas.
Thus, the gallons of natural gas that the petroleum refinery must sell to break even each month is A. 86,957.
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