Abicycle manufacturing company makes a particular type of bike. each child bike requires 4 hours to build and 4 hours to test. each adult bike requires 6 hours to build and 4 hours to test. with the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. if c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.

Voters commonly condemn politicians for being insincere, but politicians often must disguise their true feelings when they make public statements. if they expressed their honest views—about, say, their party's policies—then achieving politically necessary compromises would be much more difficult. clearly, the very insincerity that people decry shows that our government is functioning well. which of the following, if true, most seriously undermines this reasoning? (a) achieving political compromises is not all that is necessary for the proper functioning of a government. (b) some political compromises are not in the best long-term interest of the government. (c) voters often judge politicians by criteria other than the sincerity with which they express their views. (d) a political party's policies could turn out to be detrimental to the functioning of a government. (e) some of the public statements made by politicians about their party's policies could in fact be sincere.