January-17 February-17 March-17 April-17 May-17 June-17 and July-17 August-17 gust-17 September-17 October-17 whands November-17 December-17 cember January-18 February-18 Boruary 10 March-18 March-to April-18 Aptir 10 May-18 may-10 June-18 --- July-18 August-18 September-18 October-18 November-18 December-18 January-19 February-19 March-19 April-19 TE May-19 40 June-19 June July-19 August-19 September-19 October-19 November-19 December-19 Overhead Costs Units Produced $78,000 $91,000 $100,000 1,000 $78,000 500.000 $89,000 200 000 $93,000 390,000 $87,000 0.000 $94,000 60.000 $81,000 $85,000 $104,500 $104,000 $104,000 $92,000 404.000 $104,000 10000 $96,000 $77,000 200.000 $83,000 900,000 $95,000 990,000 $65,000 $92,000 $77,000 $105,000 $103,000 $96,000 $84,500 $100,000 $83,000 990.000 $79,000 249,000 $74,000 604.000 $81,000 500.000 $82,000 $74,000 $72,000 $73,000 $92,000 $82,000 5,679 6,751 7,539 5,335 6,480 7,630 6,331 0,991 7,998 5,943 3,040 7,081 7004 7,694 8,903 0,900 7,485 9,062 8,189 0.100 5,410 3,410 6,556 7,850 1,990 4,836 6,828 6,221 0,221 8,238 7,842 8,086 6,887 8,438 5,829 200 5,639 5,703 9700 6,455 6,370 5,684 4,906 5,026 7,630 4,014 Use regression and show the equation used for Random to separate overhead into fixed and variable components. How much of the change in costs will this equation predict? What is the variable cost per unit for overhead? Round to the nearest cent What is the fixed overhead cost per month? Round to the nearest dollar Random analyzes their other costs and finds the following (in addition to the overhead costs above): Direct Mat Each unit of inventory uses 2 gallons of materials and each gallon costs $3 Direct Labor On average a worker can produce 16 units of product in an 8 hour shift and gets paid $180 for that shift Each month Random spends $26,500 on selling and administration costs Sales price for 2021 is estimated at $36 per unit What is the contribution margin per unit? Round to the nearest cent How many units does Random need to sell in a month to break even in 2021? How many units does Random need to sell in a month to make $25,000 of profit before taxes? How much in dollars must Random sell in a month to make $100,000 in profit before taxes? Show the predicted contribution margin format income statement for January if production and sales are 7,100 units for January 202 Show the predicted contribution margin format income statement for February 2021 if sales increase from January by 200 units. Also in February, selling costs are increased by $2,000/month, a new machine increases fixed overhead by $6,000 and makes it so that workers can make 24 in a shift (changes the direct labor per unit) Other costs should be consistent with January.
January-17 February-17 March-17 April-17 May-17 June-17 and July-17 August-17 gust-17 September-17 October-17 whands November-17 December-17 cember January-18 February-18 Boruary 10 March-18 March-to April-18 Aptir 10 May-18 may-10 June-18 --- July-18 August-18 September-18 October-18 November-18 December-18 January-19 February-19 March-19 April-19 TE May-19 40 June-19 June July-19 August-19 September-19 October-19 November-19 December-19 Overhead Costs Units Produced $78,000 $91,000 $100,000 1,000 $78,000 500.000 $89,000 200 000 $93,000 390,000 $87,000 0.000 $94,000 60.000 $81,000 $85,000 $104,500 $104,000 $104,000 $92,000 404.000 $104,000 10000 $96,000 $77,000 200.000 $83,000 900,000 $95,000 990,000 $65,000 $92,000 $77,000 $105,000 $103,000 $96,000 $84,500 $100,000 $83,000 990.000 $79,000 249,000 $74,000 604.000 $81,000 500.000 $82,000 $74,000 $72,000 $73,000 $92,000 $82,000 5,679 6,751 7,539 5,335 6,480 7,630 6,331 0,991 7,998 5,943 3,040 7,081 7004 7,694 8,903 0,900 7,485 9,062 8,189 0.100 5,410 3,410 6,556 7,850 1,990 4,836 6,828 6,221 0,221 8,238 7,842 8,086 6,887 8,438 5,829 200 5,639 5,703 9700 6,455 6,370 5,684 4,906 5,026 7,630 4,014 Use regression and show the equation used for Random to separate overhead into fixed and variable components. How much of the change in costs will this equation predict? What is the variable cost per unit for overhead? Round to the nearest cent What is the fixed overhead cost per month? Round to the nearest dollar Random analyzes their other costs and finds the following (in addition to the overhead costs above): Direct Mat Each unit of inventory uses 2 gallons of materials and each gallon costs $3 Direct Labor On average a worker can produce 16 units of product in an 8 hour shift and gets paid $180 for that shift Each month Random spends $26,500 on selling and administration costs Sales price for 2021 is estimated at $36 per unit What is the contribution margin per unit? Round to the nearest cent How many units does Random need to sell in a month to break even in 2021? How many units does Random need to sell in a month to make $25,000 of profit before taxes? How much in dollars must Random sell in a month to make $100,000 in profit before taxes? Show the predicted contribution margin format income statement for January if production and sales are 7,100 units for January 202 Show the predicted contribution margin format income statement for February 2021 if sales increase from January by 200 units. Also in February, selling costs are increased by $2,000/month, a new machine increases fixed overhead by $6,000 and makes it so that workers can make 24 in a shift (changes the direct labor per unit) Other costs should be consistent with January.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Random Inc.
Cost data for the last 3 years
Overhead Costs Units Produced
January-17
February-17
$78,000
Use regression and show the equation used for Random to separate overhead into fixed and variable components.
How much of the change in costs will this equation predict?
5,679
$91,000
$100,000
6,751
7,539
March-17
April-17
Мay-17
June-17
$78,000
$89,000
5,335
What is the variable cost per unit for overhead? Round to the nearest cent
6,480
$93,000
$87,000
$94,000
June-17
7,630
What is the fixed overhead cost per month? Round to the nearest dollar
July-17
August-17
September-17
October-17
6,331
7 998
7,998
5 043
5,943
Random analyzes their other costs and finds the following (in addition to the overhead costs above):
Direct Mat
$81,000
$85,000
$104,500
$104,000
Each unit of inventory uses 2 gallons of materials and each gallon costs $3
On average a worker can produce 16 units of product in an 8 hour shift and gets paid $180 for that shift
Each month Random spends $26,500 on selling and administration costs
Sales price for 2021 is estimated at $36 per unit
7 081
7,081
Direct Labor
November-17
7,694
December-17
8,903
7,485
9,062
8,189
5,410
January-18
February-18
March-18
$92,000
$104,000
$96,000
$77,000
$83,000
$95,000
What is the contribution margin per unit? Round to the nearest cent
April-18
May-18
6,556
7,850
4,836
6,828
How many units does Random need to sell in a month to break even in 2021?
June-18
How many units does Random need to sell in a month to make $25,000 of profit before taxes?
July-18
August-18
September-18
$65,000
$92,000
$77,000
6,221
8,238
7,842
8,086
6,887
How much in dollars must Random sell in a month to make $100,000 in profit before taxes?
$105,000
$103,000
$96,000
October-18
November-18
December-18
Show the predicted contribution margin format income statement for January if production and sales are 7,100 units for January 2021
January-19
February-19
March-19
April-19
May-19
June-19
$84,500
$100,000
$83,000
$79,000
$74,000
$81,000
8,438
Show the predicted contribution margin format income statement for February 2021 if sales increase from January by 200 units.
5,829
5,639
5,703
6,455
6,370
Also in February, selling costs are increased by $2,000/month, a new machine increases fixed overhead by $6,000
and makes it so that workers can make 24 in a shift (changes the direct labor per unit)
Other costs should be consistent with January.
$82,000
$74,000
$72,000
July-19
August-19
September-19
October-19
November-19
December-19
5,684
4,906
5,026
7,630
$73,000
$92,000
$82,000
4,014
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