3. You ask the production team to make some candles for the sale. The team is not sure how many they can produce in your short time frame, so they ask for an acceptable range for how many of each candle they should make. Use your costs and recommended retail prices to write a linear programming model to show the BeeSwaks executives possible profits for selling certain numbers of each type of candle during this promotion. Decide on the constraints for the numbers of candles made for the sale and explain your reasoning for these constraints. Graph the feasible region and find maximum and minimum profits

The price of each ticket is $42.50. So if Selene buys x tickets, the cost of x tickets will be 42.50x.

She has to pay $5 handling fee as well for purchasing the tickets online. So her total cost of the tickets will be:

Total Cost = 42.50x + 5

Selene got $250. This means she can spend a maximum of $250 on the tickets. Maximum of $250 means less than or equal to $250.

So, we can write the spending on the tickets in the form of following in equality:

42.50x + 5 ≤ 250

42.50x ≤ 245

x ≤ 5.76

This shows, Selene can buy 5.76 tickets. Since the number of tickets has to be a whole number we look for the nearest possible number. She cannot buy 6 tickets, as the cost will exceed $250. So the maximum tickets she can buy are 5.

Therefore, the correct answer is option A