The faculty of Grey County Public Schools will shortly go on strike unless the school board increases their salary. As the school board president is well aware, however, in order to increase the faculty' s salary, Grey County Public Schools would have to cut some of its after-school programs. So, some of Grey County Public Schools' after-school programs will be cut. The conclusion above is properly drawn if which one of the following is assumed? ["The school board will refuse to increase the faculty's salary.", 'The school board president has the authority to offer the faculty their desired salary increase.', 'The faculty of Grey County Public Schools will not be going on strike.', 'The faculty of Grey County Public Schools will not accept a package of improved benefits in place of their desired wage increase.']