A manufacturer of bags makes three types of bags P, Q, and R which are processed on three machines M1, M2 and M3. Bag P requires 2 hours on machine M1 and 3 hours on machine M2 and 2 hours on machine M3. bag Q requires 3 hours on machine M1, 2 hours on machine M2 and 2 hours on machine M3 and Bag R requires 5 hours on machine M2 and 4 hours on machine M3. There are 8 hours of time per day available on machine M1, 10 hours of time per day available on machine M2 and 15 hours of time per day available on machine M3. The profit gained from bag P is $3.00 per unit, from bag Q is $5.00 per unit and from the bag, R is $4.00 per unit. 1) Formulate LP model
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Let $x_Q$ be the number of bags of type Q produced per day. Let $x_R$ be the number of bags of type R produced per day. The objective function represents the total profit per day, which we want to maximize: $$Z = 3x_P + 5x_Q + 4x_R$$ Now, let's write the Show more…
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