Rift Valley Sand and Gravel Pit have contracted to provide topsoil for three residential housing developments. Topsoil can be supplied from three different “farms” as follows: Farm Weekly capacity (cubic yards) A 100 B 200 C 200 Demand for the topsoil generated by the construction projects is: Project Weekly demand (cubic yards) 50 150 300 The manager of the sand and gravel pit has estimated the cost per cubic yard to ship over each of the possible routes: Cost per cubic yard (in Birr) From Project #1Project #2Project #3 Farm A 4 2 8 Farm B 5 1 9 Farm C 7 6 3 A. Formulate a balanced transportation problem in a transportation tableau B. Find minimum transportation cost using Northwest corner, least cost and VAM methods

Afirm wants to hire a project manager (pm) at a salary of $100,000. 30% of pms have high ability, and 70% of pms have low ability. high ability pms generate $120,000 in revenue and low ability pms generate $80,000 in revenue. in addition to differences in productivity, high and low ability pms have different outside offers. if a high ability pm is not hired by the firm, she can work for another company at a salary of $80,000. if the low ability pm is not hired by the firm, she can work for another company for $70,000. high ability pms are also able to get a project management professional (pmp) certification at a cost of $1,000. low ability pms are unable to get a pmp certification (they would fail the test). the firm is not able to observe a pm’s ability, but is able to observe and verify whether or not the pm has a pmp certificate.(a) draw the extensive form of the game.expert answer