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 $,$ using subcontracting to meet remaining demand. Evaluate this plan.

Part $2$

First compute the average demand per day for each month using the following$$ equation:

Demand per day$=$

$.$

Part $3$

Fill in the table below $($enter your responses rounded to the nearest whole$$ number$).$

Table $1$

Month

Production Days

Demand Forecast

Avg Dem Per Prod. Day

$1$

January

$$

$36$

$2$

February

$$

$36$

$3$

March

$$

$40$

$4$

April

$$

$52$

$5$

May

$$

$55$

$6$

June

$$

$63$

Other data

Inventory carrying cost

$$$ per unit per month

Subcontracting cost per unit

$$$ per unit

Average pay rate

$$$ per hour $($$ per$$ day$)$

Overtime pay Rate

$$$ per hour$($above $8$ hrs per$$ day$)$

$$Labor$-$hours per unit

hrs per unit

Cost of increasing daily production rate$($hiring &$$ training$)$

$$$ per unit

Cost of decreasing daily production rate$($layoffs$)$

$$$ per unit

Part $4$

The production rate per day is computed as$$ follows:

$.$

Part $5$

The daily production rate

$$

$30$ units. $($Enter your response as a whole$$ number.$)$