A company has the following historic pattern of total manufacturing costs versus total number of products produced: | ||||||||
MONTH | UNITS | TOTAL COSTS | ||||||
PRODUCED | ||||||||
January | 12,500 | $430,000 | ||||||
February | 17,000 | $490,000 | ||||||
March | 19,000 | $512,000 | ||||||
April | 10,000 | $400,000 | ||||||
May | 14,000 | $434,000 | ||||||
June | 9,000 | $360,000 | ||||||
July | 20,000 | $550,000 | ||||||
August | 21,000 | $525,000 | ||||||
September | 24,000 | $605,000 | ||||||
October | 23,000 | $589,000 | ||||||
November | 28,000 | $702,000 | ||||||
December | 18,000 | $496,000 |
2) If I manufacture 35,000 units this month, what are my projected total costs? (10 POINTS) Total Costs =
First, we need to determine the variable cost per unit, and the monthly fixed costs.
This is done using Regression analysis in Excel.
The X-variable (independent) is the units produced, and the Y-variable (dependent) is the total cost.
By running the regression analysis, we determine that :
intercept (fixed costs per month) = $214,098.09
variable cost per unit = $16.35
If 35,000 units are manufactured:
total cost = fixed costs + (number of units * variable cost per unit)
total cost = $214,098.09 + (35,000 * $16.35)
total cost = $786,413
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