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The Melina Corporation has gathered the following data on its copy machine costs for the first eight ...
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The Melina Corporation has gathered the following data on its copy machine costs for the first eight ...
The Melina Corporation has gathered the following data on its copy machine costs for the first eight months of the year.
Month
Number of Copies
Total Copy Cost
January
60,000
$ 7,400
February
50,000
6,500
March
70,000
7,000
April
90,000
9,200
May
80,000
7,600
June
100,000
8,500
July
120,000
10,000
August
110,000
9,800
Required:
Use 5 decimals on 'per unit' amounts.
a.
Prepare a scattergraph of the cost information and then choose a line that you believe
best represents the cost function. Represent your line with a cost equation of the form,
y
=
mx
+
b
. Show your calculations.
b.
Using the high-low method, what is the variable cost per copy?
c.
Using the high-low method, what is the fixed cost per month?
d.
Using the high-low method, represent the cost function in the form,
y
=
mx
+
b
.
e.
Using your cost equation from part (d), provide your best estimate of the copy costs
for
September if 68,000 copies will be made. Why does your estimate differ from the
$7,000 cost incurred in March, when 70,000 copies were made rather than 68,000?
Textbook
Managerial Accounting
Edition:
4
th
Author:
Davis
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More solutions for this book are
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a.
The line intersects the y-axis at $3,500, representing total fixed costs. The line passes through the point (80,000, $7,600), so the slope can be calculated as follows:
($7,600 − $3,500) ÷ (80,000 - 0) = $0.05125 per copy
The equation of the line is: y = $.05125 per copy + $3,500
b.
Variable cost = ($10,000 − $6,500) ÷ (120,000 - 50,000) = $0.05 per copy
c.
Fixed cost = $10,000 - ($.05 × 120,000) = $4,000
d.
y = $0.05x + $4,000
e.
September cost = ($0.05 x 68,000) + $4,000 = $7,400. The equation is just an
approximation of the relationship between cost and copies. Since the March cost was not one of the points used to construct the line, it is not surprising that the two figures aren't equal.
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