Hi There Could you please help me with question below thank you (I think it is related to optimal solutions)

I have the answer I just want to know how we got the answers

(a)Decision Variables

• W: number of Wine and Food events
• S: number of Sporting events
• C: number of Conference events

(a)Objective and Objective Function

The objective is by using this linear program minimize the costs associated with events.

The objective function is:

5000Wine + 15000Sport + 20000Conference

(a)Constraints

Number of Wine and Food events must be at least 50: W>=50 Number of Wine and Food events must be at least the total number of Sporting and Conference events combined: W - S - C0 Time required for each events in minuets: 2000W +1500S + 2500C 252,000 Income: (80125)W + (50400)S + (80100)C>=1800000 Non-negativity (W): W>= 0 Non-negativity (S): S>=0 Non-negativity (C): C>= 0

the solution variables are

W= 93.60

S=43.20

C=0

how we got this?