1.
Month with high number of purchase orders = August
Month with low number of purchase orders = February
2.
Variable rate = (Cost at highest purchase orders - Cost at lowest purchase orders) / (Higest orders - Lowest Orders)
= ($20,920 - $18,040) / (570 - 330)
= $2,880 / 240
= $12
3.
Fixed cost at high purchase order = Total cost - Variable cost
= $20,920 - (570 * $12)
= $20,920 - $6,840
= $14,080
Fixed cost = $14,080
4.
Total purchasing cost = Fixed cost + (Variable cost per unit * Purchase orders)
Total purchasing cost = $14,080 + ($12 * Purchase orders)
5.
Total purchasing cost = $14,080 + ($12 * Purchase orders)
= $14,080 + ($12 * 420)
= $14,080 + $5,040
= $19,120
6.
Total purchasing cost for the year = 12 * Fixed cost + (Variable cost per unit * Purchase orders)
= 12 * $14,080 + ($12 * 5,350)
= $168,960 + $64,200
= $233,160
Total fixed purchasing cost = $168,960
It doesn't equal to the fixed cost calcuated in requirement 3 because the cost calculated in requirement 3 is for 1 month, but we have to calculate the cost of whole year which becomes 12 times the cost of 1 month.
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