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.

This exercise only contains part a$.$

$$a$)$ The firm would like to begin development of an aggregate plan. For this$$ 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

$22$

$950$

$43$

$2$

February

$18$

$750$

$42$

$3$

March

$21$

$750$

$36$

$4$

April

$21$

$1,000$

$48$

$5$

May

$22$

$1,300$

$59$

$6$

June

$20$

$1,050$

$53$

Other data

Inventory carrying cost

$$$$5$ per unit per month

Subcontracting cost per unit

$$$$10$ 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

Part $3$

The production rate per day$=?$