A manufacturer considers that men and women workers are equally efficient & so he pays them at the same rate. He has 30 & 70 units of workers (male and female) & capital respectively, which he uses to produce two types of goods A & B. To produce one unit of A, 2 workers & 3 units of capital are required while 3 workers and 1 unit of capital is required to produce 1 unit of B. if A and B are priced at rupees 100 and rupees 120/unit respectively, how should he uses his resources to maximize the total revenue ? Form the above as an LPP and solve graphically.

Question

A manufacturer considers that men and women workers are equally efficient & so he pays them at the same rate. He has 30 & 70 units of workers (male and female) & capital respectively, which he uses to produce two types of goods A & B. To produce one unit of A, 2 workers & 3 units of capital are required  while 3 workers and 1 unit of capital is required to produce 1 unit of B. if A and B are priced at rupees 100 and rupees 120/unit respectively, how should he uses his resources to maximize the total revenue ? Form the above as an LPP and solve graphically.

jfraser · Answer

sounds like you need a system of equations, but I'm not sure what they should look like. I don't do this kind of stats

anonymous · Answer

since it's been quite a long time since i last did lpp,i am not quite sure that my attempt is correct.still,with the vague idea i have about lpp,here's how i think it has to be done.let there be x units of A and y units of B.let the total cost be z.then z=100x+120y.now since each unit of A has 2 workers,and B 3 workers,and total workers is 30,you have 2x+3y=30.similarly,the other equation,taking in account the capital,we have 3x+y=70.you have to take care of the(<,>)signs in these equations.