How many hours should each plant be operated to produce at least three units of item A, five unit of item B and sex unit of item C at a minimum total cost of operation ?

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Answer 1 · 2018-04-14T17:10:14

Please see the explanation below

#"Plant 1"#

#3 " hours"# of operation yield

#3 " item A"(min3), 6 " item B " (min 5)and , "9 item B" (min6)#

Cost of operation is #=3*1000=3000 $#

#"Plant 2"#

#6 " hours"# of operation yield

#12 " item A"(min3), 6 " item B " (min 5)and , "6 item B" (min6)#

Cost of operation is #=6*400=2400 $#

#"Plant 3"#

#6 " hours"# of operation yield

#18 " item A"(min3), 24 " item B " (min 5)and , "6 item B" (min6)#

Cost of operation is #=6*2400=14400 $#

The minimum cost is plant #2#