"a manufacturing company receives orders for engines from two assembly plants. plant i needs at least 45 engines, and plant ii needs at least 32 engines. the company can send at most 140 engines to these assembly plants. it costs $30 per engine to ship to plant i and $50 per engine to ship to plant ii. plant i gives the manufacturing company $20 in rebates toward its products for each engine they buy, while plant ii gives similar $15 rebates. the manufacturer estimates that they need at least $1500 in rebates to cover products they plan to buy from the two plants. how many engines should be shipped to each plant to minimize shipping costs? what is the minimum cost? "

An attorney came to work on a saturday. when he signed in, he was advised by the morning security guard employed by the building management that he must be out of the building by 5 p. m., when it closes. however, he stayed past 5 p. m. to complete a brief that had to be filed on monday morning. at 5: 15 p. m., the afternoon security guard set the locks on all the doors of the building and left. because she was in a hurry, she did not check the sign-in sheet to make sure that everyone had signed out, contrary to mandatory procedures. when the attorney tried to exit 15 minutes later, he discovered that the doors were all locked and could not be opened from the inside. he used his cell phone to call for , and a supervisor from the building arrived and let him out shortly thereafter. if the attorney sues the building management for false imprisonment, is he likely to win?