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Consider the production planning of the super fast manufacturing company. Which makes items P & V. The steel required for P is 400 gm/ piece

Consider the production planning of the super fast manufacturing company. Which makes items P & V. The steel required for P is 400 gm/ piece and that for V is 350 gm /piece. Both P & V are machined on lathe, which takes 85 & 50 minutes respectively, and are processed on grinder, which requires 55 and 30 minutes respectively. Each units of P consumes 20 minutes of polishing time. The resources available are; total machine time: 1450 hrs. Total steel: 250 Kgs. 30% of the total machine time is that of lathe, 50% of grinder and remaining of polishing. Unit contribution for profits for P & V is Rs. 40 and Rs. 30 respectively. Formulate this as LP model for determining the number of units of P & V to be produced which would maximize the profits. Given also is the constraint that company cannot sell more units of item P than item V. (Do not solve this LPP for optimum solution)

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