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Fundamentals of Cost Accounting Study Set 3
Quiz 5: Cost Estimation
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Question 101
Essay
Doran Products had costs of $950,000 when sales equaled 55,000 units. When sales increased to 85,000 units, total costs increased to $1,400,000. The selling price is $21 per unit. Required: (a.) Determine the fixed and variable portions of total costs. (b.) Prepare a contribution margin income statement for a month with sales of 70,000 units.
Question 102
Essay
The Norcross Company has traditionally estimated manufacturing overhead costs using production volume. Some of the production managers believe that the number of setups may also have an impact on monthly manufacturing overhead costs. In order to investigate this possibility, the company collected information on its monthly manufacturing overhead costs, production in units, and number of setups for 2020.
Month
Production
(Units)
Manufacturing
Overhead Cost
Number
of Setups
1
50
,
000
$
800
,
100
17
2
65
,
000
752
,
500
16
3
40
,
000
795
,
100
21
4
55
,
000
822
,
750
16
5
30
,
000
771
,
225
21
6
25
,
000
706
,
200
15
7
60
,
000
843
,
000
19
8
80
,
000
935
,
200
22
9
77
,
000
901
,
750
20
10
43
,
000
786
,
400
17
11
50
,
000
819
,
600
19
12
70
,
000
880
,
900
21
\begin{array} { c c c r } \text { Month } & \begin{array} { c } \text { Production } \\\text { (Units) }\end{array} & \begin{array} { c } \text { Manufacturing } \\\text { Overhead Cost }\end{array} & \begin{array} { c } \text { Number } \\\text { of Setups }\end{array} \\1 & 50,000 & \$ 800,100 & 17 \\2 & 65,000 & 752,500 & 16 \\3 & 40,000 & 795,100 & 21 \\4 & 55,000 & 822,750 & 16 \\5 & 30,000 & 771,225 & 21 \\6 & 25,000 & 706,200 & 15 \\7 & 60,000 & 843,000 & 19 \\8 & 80,000 & 935,200 & 22 \\9 & 77,000 & 901,750 & 20 \\10 & 43,000 & 786,400 & 17 \\11 & 50,000 & 819,600 & 19 \\12 & 70,000 & 880,900 & 21\end{array}
Month
1
2
3
4
5
6
7
8
9
10
11
12
Production
(Units)
50
,
000
65
,
000
40
,
000
55
,
000
30
,
000
25
,
000
60
,
000
80
,
000
77
,
000
43
,
000
50
,
000
70
,
000
Manufacturing
Overhead Cost
$800
,
100
752
,
500
795
,
100
822
,
750
771
,
225
706
,
200
843
,
000
935
,
200
901
,
750
786
,
400
819
,
600
880
,
900
Number
of Setups
17
16
21
16
21
15
19
22
20
17
19
21
Regression analysis results of the information presented above are as follows: Ordinary regression: Equation: $650,398 + $3.1061 × units r-square: .707 Multiple regression: Equation: [$464,481 + ($2.5356 × units)] + [($11,631.6048 × number of set ups)] r-square: .867 Required: (a.) Use the results from the ordinary regression and estimate next month's manufacturing overhead costs, assuming the company is planning to produce 75,000 units. (final answer should be rounded to the nearest whole dollar) (b.) Use the results from the multiple regression and estimate the next month's manufacturing overhead costs, assuming the company is planning to produce 75,000 units with 18 set ups. (final answer should be rounded to the nearest whole dollar) (c.) Comment on which regression seems to be more appropriate under these circumstances. What additional information would you like to see? Be specific.
Question 103
Essay
The Feline Company has been having some difficulties estimating its manufacturing overhead costs. In the past, manufacturing overhead costs have been related to production levels. However, some production managers have indicated that the size of their production lots might also be having an impact on the amount of their monthly manufacturing overhead costs. In order to investigate this possibility, the company collected information on its monthly manufacturing overhead costs, production in units, and average production lot size for 2020.
Average
Monthly
Production
Manufacturing
Production
Month
(Units)
Overhead Cost
Lot Size
1
75
,
000
$
25
,
800
20
2
90
,
000
843
,
875
19
3
65
,
000
910
,
125
24
4
80
,
000
946
,
000
19
5
55
,
000
879
,
000
24
6
50
,
000
825
,
000
18
7
85
,
000
960
,
000
22
8
105
,
000
1
,
053
,
500
25
9
102
,
000
1
,
020
,
000
23
10
68
,
000
905
,
000
20
11
75
,
000
938
,
000
22
12
95
,
000
995
,
000
24
\begin{array}{lllll}&&& \text {Average }\\&&& \text {Monthly}\\& \text { Production } & \text { Manufacturing } & \text { Production } \\\text { Month } & \text { (Units) } & \text { Overhead Cost } & \text { Lot Size }\\1 & 75,000& \$ 25,800 &20 \\2 & 90,000 & 843,875 & 19 \\3 & 65,000 & 910,125 & 24 \\4 & 80,000& 946,000 & 19 \\5 & 55,000 & 879,000 & 24\\6 & 50,000 & 825,000 & 18 \\7 & 85,000& 960,000 & 22 \\8 & 105,000& 1,053,500 & 25 \\9 & 102,000& 1,020,000& 23 \\10 & 68,000& 905,000 & 20 \\11 & 75,000 & 938,000 & 22 \\12 & 95,000 & 995,000 & 24\end{array}
Month
1
2
3
4
5
6
7
8
9
10
11
12
Production
(Units)
75
,
000
90
,
000
65
,
000
80
,
000
55
,
000
50
,
000
85
,
000
105
,
000
102
,
000
68
,
000
75
,
000
95
,
000
Manufacturing
Overhead Cost
$25
,
800
843
,
875
910
,
125
946
,
000
879
,
000
825
,
000
960
,
000
1
,
053
,
500
1
,
020
,
000
905
,
000
938
,
000
995
,
000
Average
Monthly
Production
Lot Size
20
19
24
19
24
18
22
25
23
20
22
24
Regression analysis results of the information presented above are as follows: Ordinary regression:
Equation:
$
691.741
+
$
3.0692
×
units
r-square:
0.628
\begin{array} { | l | l | } \hline \text { Equation: } & \$ 691.741 + \$ 3.0692 \times \text { units } \\\hline \text { r-square: } & 0.628 \\\hline\end{array}
Equation:
r-square:
$691.741
+
$3.0692
×
units
0.628
Multiple regression:
Equation:
$
482
,
172
+
$
2.4918
×
units
+
$
1.770.939
×
lot size
r-square:
0.777
\begin{array} { | l | l | l | } \hline \text { Equation: } & \$ 482,172 + \$ 2.4918 \times \text { units } + \$ 1.770 .939 \times \text { lot size } \\\hline \text { r-square: } & 0.777\\\hline \end{array}
Equation:
r-square:
$482
,
172
+
$2.4918
×
units
+
$1.770.939
×
lot size
0.777
Required: (a.) Use the results from the ordinary regression and estimate next month's manufacturing overhead costs, assuming the company is planning to produce 92,000 units. (final answer should be rounded to the nearest whole dollar) (b.) Use the results from the multiple regression and estimate the next month's manufacturing costs, assuming the company is planning to produce 92,000 units with an average lot size of 21. (final answer should be rounded to the nearest whole dollar) (c.) Comment on which regression seems to be more appropriate under these circumstances. What additional information would you like to see? Be specific.
Question 104
Essay
The Wonder Drug Company's total overhead costs at various levels of activity are presented below:
Direct Lubor
Month
Hours
Total Overhead
Septernber
15
,
000
$
472
,
000
October
12
,
000
409
,
400
Novernber
18
,
000
542
,
000
Decernber
21
,
000
604
,
700
\begin{array} { l c c } & \text { Direct Lubor } \\\text { Month } & \text { Hours } & \text { Total Overhead } \\\text { Septernber } & 15,00 0& \$ 472,000 \\\text { October } & 12,00 0& 409,400 \\\text { Novernber } & 18,00 0& 542,000 \\\text { Decernber } & 21,000 & 604,700\end{array}
Month
Septernber
October
Novernber
Decernber
Direct Lubor
Hours
15
,
000
12
,
000
18
,
000
21
,
000
Total Overhead
$472
,
000
409
,
400
542
,
000
604
,
700
Assume that the overhead costs above consist of indirect labor, scheduling salaries, and maintenance. The breakdown of these costs for the month of November is as follows: Indirect labor (V) $219,600 Maintenance (M) 197,400 Scheduling Salaries (F) 125,000 $542,000 Required: (a.) Using the high-low method, determine the cost formula for maintenance. (b.) Express the company's total overhead costs in linear equation form.
Question 105
Essay
Markham, Inc. has received a contract for 8 units of a new product. The contract is a cost-plus contract, with the total to be received equal to the total labor cost + 30%. Markham found that the first unit of a new product required 90 hours to complete. The second unit was completed using only 76.5 hours. Markham believes that the rate of learning that was observed will continue for all 8 units of the contract. The labor wage paid is $40/hour. The following factors are available for various rates of learning: 80% learning, b = ?0.3219; 85%, b = ?0.2345; 90%, b = ?0.1520; 95%, b = ?0.0740. Required: (a.) What will the total labor cost be for the contract?f (b.) What will be the total fee for the contract?
Question 106
Essay
When using past data to predict a cost that has fixed and variable components, it is possible to have an equation with a negative intercept. Does this mean that at a zero production level, the company will make money on its fixed costs? Explain.