Once you solve this, select all that is true for this question. a. There is/are no valid critical points for the case where the constraint holds with strict inequality because the constraint cannot be satisfied. b. There is/are no valid critical points for the case where the constraint holds with strict inequality because the first order conditions cannot be satisfied. c. There is/are no valid critical points for the case where the constraint holds with strict inequality because the complementary slackness check does not pass. d. There is/are no valid critical points for the case where the constraint holds with strict equality because the constraint cannot be satisfied. e. There is/are no valid critical points for the case where the constraint holds with strict equality because the first order conditions cannot be satisfied. f. There is/are no valid critical points for the case where the constraint holds with strict equality because the complementary slackness check does not pass.

Consider choosing x and y to maximise -x-7y, while 2 3y In (3x) + In 3 2 cannot fall below 1.8. What is the maximised value? (Round to two decimal places.)