Dwayne Cole, owner of a Florida firm that manufactures display cabinets, develops an $8-$month aggregate plan. Demand and capacity $($in units$)$ are forecast as follows:

$\backslash$table$[[$Capacity$,,,,,,,,],[$Source $($units$),$Jan.,Feb.,Mar.,Apr.,May,June,July,Aug.$],[$Regular time,$230,265,290,300,290,290,300,310],[$Overtime$,25,24,28,24,30,29,30,30],[$Subcontract$,12,16,15,17,17,19,24,20],[$Demand$,255,304,323,305,320,321,350,360]]$

The cost of producing each unit is $$1,000$ on regular time, $$1,200$ on overtime, and $$1,700$ on a subcontract. Inventory carrying cost is $$200$ per unit per month. There is no beginning or ending inventory in stock, and no backorders are permitted from period to period. Let the production $($workforce$)$ vary by using regular time first, then overtime, and then subcontracting.

a$)$ Set up a production plan that minimizes cost by producing exactly what the demand is each month. This plan allows no backorders or inventory. What is this plan's cost?

Set up a production plan. $($Enter your responses as whole numbers.$)$

$\backslash$table$[[$Month$,$Regular time,Overtime,Subcontract,Shortage,Demand$],[$Jan$.,230,25,0,0,255],[$Feb$.,265,24,15,0,304],[$Mar$.,290,28,5,0,323],[$Apr$.,300,5,0,0,305],[$May$,290,30,0,0,320],[$June$,290,29,2,0,321],[$July$,300,30,20,0,350],[$Aug$.,310,30,20,0,360]]$

This plan's total cost is $$2621600($enter your response as a whole number$).$

b$)$ Through better planning, regular$-$lime production can be set at exactly the same amount, $270$ units, per month. If demand cannot be met, there is no cost assigned to shortages and they will not be filled. Does this alter the solution?

Set up a production plan. $($Enter your responses as whole numbers.$)$

$\backslash$table$[[$Month$,$Regular time,Overtime,Subcontract,Shortage,Demand$],[$Jan$.,255,0,0,0,255],[$Feb$.,,,,,304]$

Please help me find the data for months February$-$August for second production plan!