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Information about Indiana Industrial\'s utility cost for the last six months of

ID: 2434508 • Letter: I

Question

Information about Indiana Industrial's utility cost for the last six months of 2010 follows. The high-low method will be used to develop a cost formula to predict 2011 utility charges, and the number of machine hours has been found to be an appropriate cost driver. Dat for the first half of 2010 are not being considered because the utility company imposed a significant rate change a of July 1, 2010.

Month             Machine Hours          Utility Cost
July                33,750                      $13,000
August             34,000                       12,200
September       33,150                      11,040
October          32,000                         11,960
November       31,250                         11,500
December         31,000                         11,720

a. What is the cost formula for utility expense?
b. What is the budgeted utility cost for September 2011 if 31,250 machine hours are projected?

Explanation / Answer

Utility expense = (Y2 - Y1) / (X2-X1) Y2 = Cost at the high level of activity Y1 = Cost at the low activity X2 = High level activity X1 = Low level activity High-activity level (August) 34,000 $12,200 Low-activity level (December) 31,000 $11,720 Utility expense = $480 / 3,000 = $0.16 per hour Therefore, the fixed cost element = Total cost - Variable cost = $12,200 - ($0.16 * 34,000) = $6,760 The utility cost can now be expressed as $6,760 plus $0.16 per hour. b) If the machine hours for september are 31,250 The budgeted utility cost is $11,500