The controller of the Javier Company is preparing the budget for 2018 and needs to estimate a cost function for delivery costs. Information regarding delivery costs incurred in the prior two months are:
Months. Miles Driven. Delivery Costs
August 11,000 $26,000
Sept 15,000 $34,000
Estimate the cost function for delivery.
Delivery Cost, Aug. = $26,000
Miles Driven, Aug. = 11,000
Delivery Cost, Sept. = $34,000
Miles Driven, Sept. = 15,000
Variable Cost per mile = (Delivery Cost, Sept. - Delivery Cost,
Aug.) / (Miles Driven, Sept. - Miles Driven, Aug.)
Variable Cost per mile = ($34,000 - $26,000) / (15,000 -
11,000)
Variable Cost per mile = $8,000 / 4,000
Variable Cost per mile = $2.00
Fixed Cost = Delivery Cost, Sept. - Variable Cost per mile *
Miles Driven, Sept.
Fixed Cost = $34,000 - $2.00 * 15,000
Fixed Cost = $4,000
Cost Formula for delivery = Variable Cost per mile * Number of
miles driven + Fixed Cost
Cost Formula for delivery = $2.00 * Number of miles driven +
$4,000
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