Question

Design a spreadsheet that can be used to evaluate aggregate plans. The spreadsheet should enable the evaluation of:

1.pure strategy based on leveling production,

2.pure strategy based on minimizing inventory by laying off/hiring as needed,

3.a mix of the above two.

The spreadsheet should have the following headings:

1

2

3

4

5

6

7

8

9

10

11

Sales in

Production

Month

Sales

labor-hour

Working

labor-hour

Number of

Workers

Workers

Beginning

Ending

Backorder

(Million)

(000s)

days

(000s)

Workers

Hired

Fired

Inventory

Inventory

All but columns 1, 2, and 4 should be computed using cell formulas. Column 5 should allow for using cell formulas in the case of level production or direct input for mixed plans. The cost of any plan, in total and for each cost component, should be computed without additional effort. Assume an 8-month horizon and use the following data to test your spreadsheet:

Sales per direct labor hour

$30

Hiring cost

$ 300.0

Firing cost

$ 500.0

Regular labor cost per hour

$ 15.00

Overtime premium cost per hour

$ 7.50

Backorder cost per month

2%

Inventory carrying cost per month

1%

Beginning inventory

$ 400000

Desired ending inventory in September

$ 200000

Number of Employees as of end of December

1900

Month

Sales

Working

(Million)

days

January

8.0

20

February

7.4

21

March

11.2

23

April

11.0

20

May

9.8

22

June

8.0

22

July

8.0

10

August

10.6

23

September

9.4

20

I have solved some of it but I got Stuck in Ending Inventory. Thank you for your help. J4 10 Workers Workers Beginning Endin order Balance ($ 000s) Sales in Production Month Sales (million) Working Days labor-hour (000s) Inventory Inventory ($ 000s) ($000s) labor-hour (000s) Hired 3 December 4 January 5 February 6 March 7 April 8 May 9 June 10 July 11 August 12 September 13 14 Total 15 Unit Cost Workers 1900 1916 1916 1916 1916 1916 1916 1916 1916 1916 400.0 266.67 246.67 373.33 366.67 326.67 266.67 266.67 353.33 313.33 20 21 23 20 8.0 306.56 321.888 352.544 306.56 337.216 337.216 153.28 352.544 306.56 16 0 0 1596.80 0 2256.64 0-623.68 11.2 11.0 9.8 8.0 8.0 10.6 9.4 0 0 316.48 0 2116.48 10 23 20 0 023.68 0 200000 83.4 2780 181 2774.368 17244 16 400200000 15 0.3 0.5 0.01 2.0% Total Cost

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Answer #1

The ending inventory is returned by the Excel Solver using the following spreadsheet models.

1. Pure strategy based on level production

К 18 Q fx -SUMPRODUCT(E14:K14,E15:K15) 0 sales inworking labor -hour labor-hour Production Number Workers workers Inventory Inventory ($o00s) 10 11 11SSolver Paremeters BeginningEnding Month(mllion(000s) Balance Fired000s) HiredFired Set Objective: workers 1900 1916 1916 1916 1916 1916 1916 1916 1916 1916 $ 000S 400.0 1596.8 1596.83853.4 3229.8 8 1426.6 1426.6 1743.0 Max O Min Value Of 3 December 4 Janua 5 Februa 6 March By Changing Variable Cells: 266.7 246.7 373.3 366.7 326.7 266.7 266.7 353.3 313.3 306.6 321.9 352.5 306.6 337.2 337.2 153.3 352.5 306.6 400.0 SGSA SHS4,SIS4:SKS12 Subject to the Constraints: 11.2 11.0 3853.4 SLS4:SLS12-0 SIS12 200 SK$12 0 SGS4 SHS4-integer 3229.8 9 June 10 Jul 11 August 12 September 9.4 13 14 Total 15 Unit Cost 16 1743.03859.5 457.9 434.2 231.0 10 3859.5 457.9 434.2 0.0 Delete 10.6 0.0 Reset A 16 Make Unconstrained Variables Non-Negative 83.4 2780 181 2774.368 17244 17001.28 16832.32 15 Select a Solving Method: Simplex LP 000s $000s Solving Method Select the IPOPT Nonlinear engine for Solver Problems that are smooth nonlinear.Select the LP Simplex engine for linear Solver Problems. 18 Total Cost 41788.64 $0005 Close 23

Formulas:

2. Pure strategy based on minimizing inventory by laying off/hiring as needed

In this model, we have changed the objective from minimizing total cost to minimizing total ending inventory. Resulting solution is following:

3. Mix strategy

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