A manufacturing firm produces two products, A and B, using two limited resources. The maximum amounts...

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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 -0.0005u_1) and (0.75 -0.0001u_2), respectively, where u i denotes the number of units of resource i used (i = 1, 2). The selling prices per unit of products A and B, p A and p B, are given by: (10 points) PA = 2.00 -0.0005xA - 0.00015xB PB = 3.50 0.0002x - 0.0015.xg 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 -0.0005u_1) and (0.75 -0.0001u_2), respectively, where u i denotes the number of units of resource i used (i = 1, 2). The selling prices per unit of products A and B, p A and p B, are given by: (10 points) PA = 2.00 -0.0005xA - 0.00015xB PB = 3.50 0.0002x - 0.0015.xg