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.

Part $2$

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

$22$

$900$

enter your response here

$2$

February

$18$

$700$

enter your response here

$3$

March

$21$

$800$

enter your response here

$4$

April

$21$

$1,200$

enter your response here

$5$

May

$22$

$1,500$

enter your response here

$6$

June

$20$

$1,100$

enter your response here

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

$1\mathrm{.}6$ hrs per unit

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

$$$

$300$ per unit

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

$$$

$600$ per unit