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4. A manufacturing firm produces two products, A and B using two limited resources. The maximum amounts of resources 1 and 2 available per day are 1000 and 250 units, respectively. The production of 1 unit of product A requires 1 unit of resource 1 and 0.2 unit of resource 2, and the production of 1 unit of product B requires 0.5 unit of resource 1 and 0.5 unit of resource 2. The unit costs of resources 1 and 2 are given by the relations (0.375 0.00005u1) and (0.75 -0.000lu2), respectively, where ui, denotes the number of units of resource / used (i = 1,2). The selling prices per unit of products A and B, P and p, are given by PA =2.00-0.0005XA-0.00015XB PB = 3.50-0.0002 XA -0.0015 XB where X and XB indicate, respectively, the number of units of products A and B sold.