It is december 31st and rather than going out to a new year's eve party, kora is planning for the first half of the upcoming year for her t-shirt manufacturing business. she has calculated the monthly demand, production capacity and costs from multiple sources, and noted that she has 100 cases of shirts on hand.

month

demand
jan. 2,000
feb. 2,200
march 3,000
apr. 2,350
may 2,450
june 2,100
in each month she can produce up to 2,000 cases at regular time at a cost of $50 per case, a maximum of 400 via overtime at $60 per case, and 200 per month through a subcontractor that charges $75 per case. since the demand consists of orders for special events, customers must receive their shirts on time, and backlogging is not allowed. cases can be stored at the cost of $5 per case per month.

what is the total cost of the optimal solution? "$731, 550" or "$715, 500" or "$725,250" or "$722,700"

in total, how much unused regular time capacity does kora have for the 6-month period? "400 cases" or "0 cases" or "200 cases" or "100 cases"

in total, how much unused overtime capacity exists in this plan for the 6-month period? "1,200 cases" or "2,400 cases" or "400 cases" or "800 cases"

in total, how much unused subcontractor capacity exists in this plan for the 6-month period?