The M & O Supermarket has four products (A, B, C, and D) which must be sold within 5 days from their arrival date. If any of the products are not sold, they will either be discarded or returned to the manufacturer. The following data were collected by the M & O Supermarket: pg65

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PRODUCTS A AND B Demand Probability Demand PRODUCTS C AND D Probability (units) of demand (units) of demand 012345 .05 .15 2 .25 3 .20 .25 .10 612345 .08 .12 .20 .30 .15 .15 Additional information: Sales price Product ABCD per unit Purchase price per unit Salvage value per unit $3.60 $1.70 $0.00 5.20 3.65 1.75 4.85 3.00 .90 2.55 1.40 .65 Required: a Construct a pay-off table for each product. b Determine the optimal strategy for the purchase of the products based on expected profit.