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Nowjuice, Inc., produces Shakewell® fruit juice. A planner has developed an aggr

ID: 469766 • Letter: N

Question

Nowjuice, Inc., produces Shakewell® fruit juice. A planner has developed an aggregate forecast for demand (in cases) for the next six months.

Use the following information to develop aggregate plans.

Develop an aggregate plan using each of the following guidelines and compute the total cost for each plan.

Use level production. Supplement using overtime as needed. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Omit the "$" sign in your response.)


Use a combination of overtime (500 cases per period maximum), inventory, and subcontracting (500 cases per period maximum) to handle variations in demand. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Omit the "$" sign in your response.)

Use overtime up to 750 cases per period and inventory to handle variations in demand. (Negative amounts should be indicated by a minus sign. Leave no cells blank - be certain to enter "0" wherever required. Omit the "$" sign in your response.)

Nowjuice, Inc., produces Shakewell® fruit juice. A planner has developed an aggregate forecast for demand (in cases) for the next six months.

Explanation / Answer

Regular Prod. + OT

  Period

                 May

Jun

Jul

Aug

Sep

Oct

Total

  Forecast

4,000

4,800

5,600

7,200

6,400

5,000

33,000

  Output

  

    Regular

5000

5000

5000

5000

5000

5000

30000

    Overtime

0

0

0

1600

1400

0

3000

  Output - Forecast

1000

200

-600

-600

0

0

  

  Inventory

  

    Beginning

0

1000

1200

600

0

0

  

  Ending

1000

1200

600

0

0

0

  

    Average

500

1100

900

300

0

0

  

  Backlog

  

  

  Costs:

  

    Regular

$7

$35,000

$35,000

$35,000

$35,000

$35,000

$35,000

$210,000

    Overtime

$18

$0

$0

$0

$28,800

$25,200

$0

$54,000

  Inventory

$1

$500

$1,100

$900

$300

$0

$0

$2,800

  Back orders

  

  

  Total

$35,500

$36,100

$35,900

$64,100

$60,200

$35,000

$266,800

  

Total Cost of Planning = $266,800

Note: OT Prod. Req. = Total Demand – total Regular production = 33,000 – 30000 = 3000

Output forecast = (Regular prod. + OT prod) – Demand

Ending Inventory = (Beginning inv. + Regular prod. + OT prod) – Demand

To avoid backlog utilize OT production

Regular + OT (500) + Subcontract (500)

  Period

    May

         Jun

    Jul

Aug

    Sep

    Oct

Total

  Forecast

4,000

4,800

5,600

7,200

6,400

5,000

33,000

  Output

  

    Regular

5000

5000

5000

5000

5000

5000

30000

    Overtime

500

500

500

500

500

0

2500

  Subcontract

0

0

0

0

500

0

500

  Output - Forecast

1,500

700

-100

-1,700

-400

0

  

  Inventory

  

    Beginning

0

1,500

2,200

2,100

400

0

  

   Ending

1,500

2,200

2,100

400

0

0

  

    Average

750

1850

2150

1250

200

0

  

  Backlog

  

  

  Costs:

  

    Regular

$7

$35,000

$35,000

$35,000

$35,000

$35,000

$35,000

$210,000

    Overtime

$18

$9,000

$9,000

$9,000

$9,000

$9,000

$0

$45,000

    Subcontract

$39

$0

$0

$0

$0

$19,500

$0

$19,500

  Inventory

$1

$750

$1,850

$2,150

$1,250

$200

$0

$6,200

  Back orders

$0

$0

$0

$0

$0

$0

$0

$0

  

  Total

$44,750

$45,850

$46,150

$45,250

$63,700

$35,000

$280,700

  

Note: OT Prod. + Subcontracting Req. = Total Demand – total Regular production = 33,000 – 30000 = 3000

To avoid backlog in month of Sep. Subcontracting is planned.

Output forecast = (Regular prod. + OT prod + Subcontract) – Demand

Ending Inventory = (Beginning inv. + Regular prod. + OT prod + subcontract) – Demand

Total Cost = $280,700

Regular + OT (750)

Period

                 May

                 Jun

                 Jul

                 Aug

                 Sep

                 Oct

              Total

  Forecast

4,000

4,800

5,600

7,200

6,400

5,000

33,000

  Output

  

    Regular

5000

5000

5000

5000

5000

5000

30000

    Overtime

0

750

750

750

750

0

3000

  Output - Forecast

1,000

950

150

-1,450

-650

0

  

  Inventory

  

    Beginning

0

1,000

1,950

2,100

650

0

  

    Ending

1,000

1,950

2,100

650

0

0

  

    Average

500

1475

2025

1375

325

0

  

  Backlog

  

  

  Costs:

  

    Regular

$7

$35,000

$35,000

$35,000

$35,000

$35,000

$35,000

$210,000

    Overtime

$18

$0

$13,500

$13,500

$13,500

$13,500

$0

$54,000

  Hire/Lay off

$0

$0

$0

$0

$0

$0

$0

$0

  Inventory

$1

$500

$1,475

$2,025

$1,375

$325

$0

$5,700

  Back orders

$0

$0

$0

$0

$0

$0

$0

$0

  

  Total

$35,500

$49,975

$50,525

$49,875

$48,825

$35,000

$269,700

  

Note: To avoid backlog in months of August, sep, oct. OT production is planned from June so has to produce excess inventory.

Total Cost = $269,700

Regular Prod. + OT

  Period

                 May

Jun

Jul

Aug

Sep

Oct

Total

  Forecast

4,000

4,800

5,600

7,200

6,400

5,000

33,000

  Output

  

    Regular

5000

5000

5000

5000

5000

5000

30000

    Overtime

0

0

0

1600

1400

0

3000

  Output - Forecast

1000

200

-600

-600

0

0

  

  Inventory

  

    Beginning

0

1000

1200

600

0

0

  

  Ending

1000

1200

600

0

0

0

  

    Average

500

1100

900

300

0

0

  

  Backlog

  

  

  Costs:

  

    Regular

$7

$35,000

$35,000

$35,000

$35,000

$35,000

$35,000

$210,000

    Overtime

$18

$0

$0

$0

$28,800

$25,200

$0

$54,000

  Inventory

$1

$500

$1,100

$900

$300

$0

$0

$2,800

  Back orders

  

  

  Total

$35,500

$36,100

$35,900

$64,100

$60,200

$35,000

$266,800