Consider the following statements about linear programming and the simplex method. Label each statement as true or false, and then justify your answer. (a) In a particular iteration of the simplex method, if there is a tie for which variable should be the leaving basic variable, then the next BF solution must have at least one basic variable equal to zero.
(b) If there is no leaving basic variable at some iteration, then the problem has no feasible solutions.
(c) If at least one of the basic variables has a coefficient of zero in row 0 of the final tableau, then the problem has multiple optimal solutions.
(d) If the problem has multiple optimal solutions, then the problem must have a bounded feasible region.

Greenway industries is a major multinational conglomerate. its business units compete in a range of industries, including home appliances, pharmaceuticals, commercial real estate, and plastics manufacturing. although its largest business unit, which produces kitchen appliances, is among the most profitable in the industry, it generates only 35 percent of the company's revenues. which of the following is most likely true of greenway's stock price? a. it is valued at less than the sum of its individual business units. b. it is valued at greater than the sum of individual business units. c. it is valued at the exact sum of individual business units. d. it is consistently lower than the industry average. it is valued at greater than the sum of individual business units.