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 $63,60047,40056,30051,90052,00064,200$

Regular production

Overtime production

Subcontract production

Ending inventory $10,800$

Hired employees

Fired employees

Total employees $517$

Cost variables are as follows:

Cost Variables

Labor cost$/$hour $$16$

Overtime cost$/$ton $$39$

Subcontracting cost$/$ton $$36$

Holding cost$/$ton$/$month $$15$

Hiring cost$/$employee $$2,600$

Firing cost$/$employee $$4,900$

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

Capacity Information

Total labor hours$/$ton $2$

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

Max regular production $($tons$/$month$)56,700$

Max overtime production $($tons$/$month$)3,900$

Max subcontractor production $($tons$/$month$)4,700$

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.$)$