A firm has the choice of producing four similar products: P1, P2, P3 and P4 in any combination. These products have profit rates of Rs 70, 65, 80 and 75, respectively. They all require two types of raw materials R1 and R2, and two types of labour L1 and L2. The per unit requirements and availability of the resources every week is given in the following table:

You are required to determine the optimal product mix for the firm and carry out the sensitivity analysis, for changes in the objective function coefficients and right-hand-side values of the constraints.

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Per Unit Requirement Resource P P2 P3 P 7 432 353 +325 465 1 R R 4 L 6 Availability 90 kg 120 kg 60 hr 100 hr