Compute the total, price, and quantity labor variances for Bramble Co. for January. Identify whether each variance is favorable or unfavorable. Total Labor Variance $enter a dollar amount select an option Labor Price Variance $enter a dollar amount select an option Labor Quantity Variance

$15.66 per carton

Explanation:

118,000 cartons of machine screws

equipment cost $785,000

depreciation per year = $785,000 / 5 = $157,000

fixed manufacturing costs $415,000 per year

variable costs per carton = $10.05 x 118,000 = $1,185,900

initial investment in net working capital $68,000

tax rate 24%

discount rate 12%

price per carton?

initial investment = -$853,000

CF₁ = [(R - $1,600,000 - $157,000) x 0.76] + $157,000 = 0.76R - $1,178,320

CF₂ = [(R - $1,600,000 - $157,000) x 0.76] + $157,000 = 0.76R - $1,178,320

CF₃ = [(R - $1,600,000 - $157,000) x 0.76] + $157,000 = 0.76R - $1,178,320

CF₄ = [(R - $1,600,000 - $157,000) x 0.76] + $157,000 = 0.76R - $1,178,320

CF₅ = [(R - $1,600,000 - $157,000) x 0.76] + $157,000 + $68,000 = 0.76R + $1,110,320

$853,000 = (0.76R - $1,178,320) / 1.12 + (0.76R - $1,178,320) / 1.12² + (0.76R - $1,178,320) / 1.12³ + (0.76R - $1,178,320) / 1.12⁴ + (0.76R + $1,110,320 ) / 1.12⁵ = 0.6786R - $1,052,071.43 + 0.6059R - $939,349.49 + 0.541R - $838,704.90 + 0.483R - $748,943.66 + 0.4312R + $630,025.39

$853,000 = 2.7397R - $4,209,094.87

$5,062,094.87 = 2.7397R

R = $5,062,094.87 / 2.7397 = $1,847,682.18

total revenue = $1,847,682.18

revenue per carton = $1,847,682.18 / 118,000 = $15.6583 = $15.66