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.

Part $2$

Table $1$

Month

Production Days

Demand Forecast

$1$

January

$22$

$900$

$2$

February

$18$

$700$

$3$

March

$21$

$800$

$4$

April

$21$

$1,200$

$5$

May

$22$

$1,500$

$6$

June

$20$

$1,100$

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

This exercise only contains part b$.$

Part $3$

$$b$)$ Juarez has yet a sixth plan. A constant workforce of $7$ is$$ selected, with the remainder of demand filled by subcontracting. Evaluate this plan.

Part $4$

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

Part $5$

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

Month

Demand

Regular Production

Subcontract$($Units$)$

$1$

January

$900$

enter your response here

enter your response here

$2$

February

$700$

enter your response here

enter your response here

$3$

March

$800$

enter your response here

enter your response here

$4$

April

$1,200$

enter your response here

enter your response here

$5$

May

$1,500$

enter your response here

enter your response here

$6$

June

$1,100$

enter your response here

enter your response here

Part $6$

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

Part $7$

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

Part $8$

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