Martin Corporation currently sells 180,000 units per year at a price of $7.00 per unit; its variable cost is $4.20 per unit; and fixed costs are $400,000. Martin is considering expanding into two additional states which would increase its fixed costs to $650,000 and would increase its variable unit cost to an average of $4.48 per unit. If Martin expands it expects to sell 270,000 units at $7.00 per unit. By how much will Martin's break-even sales dollar level change?
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Calculate the initial breakeven volume in dollars:
Old S(BE) = FC/(1-(VC/S)) = $400,000/1-(4.20/7.00) = $1,000,000.
Calculate the new breakeven volume in sales dollars:
New S(BE) = FC/(1-(VC/S)) $650,000/1-(4.48/7.00) = $1,805,556.
The increase in SB = $1,805,556 - $1,000,000 = $805,556.