1.)A vendor prepares 100.00 hotdogs every day and sells at $18.00 /piece. For each hot dog, he spends $12.00 in the raw material. Additionally he spends $1.81 for packing each hotdog and monthly $46.00, $21.00, $12.00 as food truck rent, electricity and other expenses respectively. Lost sales are charged at $6.00 per lost sale. Leftover hotdogs can be sold for $3. On a particular day in June 111.00 people came wanting to buy a hotdog. Determine the vendors profit for that day? Assume there are 30 days in the month.

2.) A vendor prepares 100.00 hotdogs every day and sells at $20.00/piece. For each hot dog, he spends $12.00 in the raw material. Additionally he spends $1.00 for packing each hotdog and monthly $50.00, $20.00, $10.00 as food truck rent, electricity and other expenses respectively. Lost sale are taken as $1 per unhappy customer. Leftover hotdogs can be sold for $5.00/piece. On a particular day in June it rained heavily so the vendor was able to sell only 80.00 hot dogs. Determine the vendors profit for that day? Assume there are 30 days in the month.

3.You run a school in Florida. Fixed monthly cost is $5,866.00 for rent and utilities, $6,449.00 is spent in salaries and $1,724.00 in insurance. Also every student adds up to $99.00 per month in stationary, food etc. You charge $604.00 per month from every student now. You are considering moving the school to another neighborhood where the rent and utilities will increase to $11,119.00, salaries to $6,674.00 and insurance to $2,249.00 per month. Variable cost per student will increase up to $152.00 per month. However you can charge $1,130.00 per student. At what point will you be indifferent between your current mode of operation and the new option?