Hi There

I need help with the below question which is about linear programming and optimal solutions I guess

I have the answers I just wanna know how to get 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 to minimize the costs associated with events.

The objective function is: 5000Wine + 15000Sport + 20000Conference

income found as $1116000

(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 - C>=0 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 variable in excel shows the answers

So how we got the numbers below?

W=93.60

S=43.20

C=0