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A Juarez, Mexico, manufacturer of roofing supplies has developed monthly forecasts for a family of products. Data for the 6-month period January to June are

A Juarez, Mexico, manufacturer of roofing supplies has developed monthly forecasts for a family of products. Data for the 6-month period January to June are presented in the table below. There are 8 hours of production per day.

a) The firm would like to begin development of an aggregate plan. For this plan, plan 5, the firm wishes to maintain a constant workforce of 6, using subcontracting to meet remaining demand. Evaluate this plan.

To determine whether this plan is desirable, first calculate demand per day for each month (enter your responses rounded to the nearest whole number).

Table 1

Month

Production Days

Demand Forecast

Avg Dem Per Prod. Day

1

January

22

950

_______

2

February

18

750

________

3

March

21

750

_______

4

April

21

1,000

_______

5

May

22

1,300

_______

6

June

20

1,050

_______

Other data

Inventory carrying cost

$8

per unit per month

Subcontracting cost per unit

$12

per unit

Average pay rate

$5

per hour

($40

per day)

Overtime pay Rate

$7

per hour (above 8 hrs per day)

Labor-hours per unit

1.6

hrs per unit

Cost of increasing daily production rate (hiring & training)

$300

per unit

Cost of decreasing daily production rate (layoffs)

$600

per unit

The production rate per day = _____ units. (Enter your response as a whole number.)

Fill in the table below. (Enter your responses as whole numbers.)

Month

Demand

Regular Production

Subcontract

(Units)

1

January

950

_______

______

2

February

750

________

______

3

March

750

________

______

4

April

1,000

_______

_______

5

May

1,300

______

_______

6

June

1,050

______

_______

The total regular production cost= $ ______ (Enter your response as a whole number.)

The total subcontracting cost = $ ______ (Enter your response as a whole number.)

Total cost with plan 5 = $ ______ (Enter your response as a whole number.)

b) Juarez has yet a sixth plan. A constant workforce of 7 is selected, with the remainder of demand filled by subcontracting. Evaluate this plan.The production rate per day = ______ units. (Enter your response as a whole number.)

Fill in the table below. (Enter your responses as whole numbers.)

Month

Demand

Regular Production

Subcontract (Units)

1

January

950

_________

________

2

February

750

_________

________

3

March

750

_________

________

4

April

1,000

_________

__________

5

May

1,300

__________

_________

6

June

1,050

__________

_________

The total regular production cost = $ ______ (Enter your response as a whole number.)

The total subcontracting cost = $ _______ (Enter your response as a whole number.)

Total cost with plan 6 = $ _______ (Enter your response as a whole number.)

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