PP$\mathrm{.}63$ Jupiter, a large candy company, is having great success with its "Swan" family of candy bars. Due to a number of factors they like to plan their production at least six months into the future. The table below contains their demand projections $($in tons$)$ for April through September:

Supply$/$Demand Info Beginning Apr May Jun Jul Aug Sep

Predicted Sales $57,10049,00047,30050,80049,60056,600$

Regular production

Overtime production

Subcontract production

Ending inventory $9,800$

Hired employees

Fired employees

Total employees $492$

Cost variables are as follows:

Cost Variables

Labor cost$/$hour $$13$

Overtime cost$/$ton $$31$

Subcontracting cost$/$ton $$24$

Holding cost$/$ton$/$month $$8$

Hiring cost$/$employee $$3,600$

Firing cost$/$employee $$5,600$

Here is some additional relevant $($capacity$)$ information:

Capacity Information

Total labor hours$/$ton $4$

Regular production tons$/$employee$/$month $100$

Max regular production $($tons$/$month$)51,800$

Max overtime production $($tons$/$month$)4,200$

Max subcontractor production $($tons$/$month$)5,900$

Given the above information $($and don't overlook beginning number of employees and inventory levels in the first table$),$ create a LEVEL production plan with only the use of regular production and no inventory left over at the end of the six$-$month period.

What is the regular production cost $($over the six months from April through September$)$ for a level production plan? $($Display your answer to the nearest whole number.$)$

What is the total overtime production cost for this production plan? $($Display your answer to the nearest whole number.$)$

What is the total subcontract cost for this production plan? $($Display your answer to the nearest whole number.$)$

What is the total holding cost for this production plan? $($Display your answer to the nearest whole number.$)$

What is the total hire cost for this production plan? $($Display your answer to the nearest whole number.$)$

What is the total fire cost for this production plan? $($Display your answer to the nearest whole number.$)$

What is the total cost $($sum of all costs$)$ for this production plan? $($Display your answer to the nearest whole number.$)$