Lars runs a cookie factory. his cookies are made with sugar, peanut oil, and soybean oil. the number of boxes of cookies that he produces is y = min{su, po+2so}, where su is the number of bags of sugar, po the number of canisters of peanut oil, and so the number of canisters of soybean oil that he uses. the price of a bag of sugar is $5. the price of a canister of peanut oil is $9. the price of a canister of soybean oil is $19. (a) if lars makes 24 boxes of cookies, how many bags of sugar will he use? will he use peanut or soybean oil? how many canisters? calculate the minimum cost of producing 24 boxes of cookies. (b) suppose the price of soybean oil decreases by $1 and the price of peanut oil increases by $1. how will these changes affect the minimum cost of producing 24 boxes of cookies?

What is the opportunity cost in this scenario? harry has been very busy at work for the past two weeks. he has been working weekends too. finally, he is going to get a weekend off. originally, he planned to paint his apartment that weekend. he also considered going fishing for the weekend. but then his parents called and asked him to come for dinner because it has been a while since they have seen each other. later on, his friend theo informed him about a surprise birthday party for another friend. theo plans to reserve a room at a restaurant for the celebration, with the cost to reserve the room split between theo, harry, and three other friends. now harry is confused about what he should do over the weekend. he decides that, for him, the most important commitments are going over to his parent's house and attending his friend's birthday party. in the end, harry decides to see his parents.

Sarah borrowed $16,500 on may 23 with interest due on september 3. if the interest rate is 9%, find the interest on the loan using exact interest and ordinary interest.

Simon, aged 10, is invited to a classmate's birthday party at an exclusive ski resort on march 15th. the day will include 4 hours of snowboarding, lunch and birthday cake. simon's mother checks a box on the invitation that says "yes, we will attend" and returns it to the classmate's address. unfortunately, they later don't attend the party when simon comes down with the flu. on march 17th, simon's mother receives an invoice in the mail from simon's classmate for $35 that says, "party no-show fee." can simon's classmate collect the fee?