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?
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