The Waterfall Company sells a product for $150 per unit. The variable cost is $80 per unit, and fixed costs are $270,000. Determine the (a) break-even point in sales units, and (b) break-even points in sales units if the company desires a target profit of $36,000. Round your answer to the nearest whole number.

Answer

(a) 3858 Units

(b) 4372 Units

Explanation

SP = Selling price per unit = $150 per unit

VC = Variable cost per unit = $80 per  unit

TFC = Total Fixed Cost = $270,000

(a) Break-Even Point (Units) = Fixed Costs ÷ (Revenue per Unit – Variable Cost per Unit)

= $270,000 ÷ ( $150 per unit - $80 per  unit )

= 3857.14 ≅ 3858 Units

(b)

x = Number of units

TR = Total Revenue = $150x

TC = Total Costs = Total Fixed Cost + Total Variable Cost

TC = $270,000 + $80x

Target Profit = $36,000

Total profit = Total Revenue - Total Costs

36000 = 150x - ( 270000 + 80x)

306000 = 70x

x = 4371.42 ≅ 4372 Units

odd consecutive integers are odd integers that follow each other. they have a difference of 2 between every two numbers. if n is an odd integer, then n, n+2, n+4 and n+6 will be odd consecutive integers. the first number in the pattern is always the variable on its own or in this case, "n". examples.

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