Question: Solve the optimization in MatLab. Please include the copied/pasted code. A manufacturing firm produces two products, A and B, using two limited resources. The maximum
Solve the optimization in MatLab. Please include the copied/pasted code.
A manufacturing firm produces two products, A and B, using two limited resources. The maximum amount 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. The production of 1 unit of product B requires 0.5 unit of resource 1 and 0.5 unit of resource 2. The unit cost of resources 1 and 2 are given by the relation (0.375- 0.00005U1) and (0.75-0.0001U2), respectively, where U1 and U2 denotes the number of units of resource i used (i=1, 2). The selling price per unit of product A and B are given by
P(A) = 2 - 0.00005x(A) - 0.00015x(B) and P(B) = 3.5 - 0.0002x(A) -0.0015x(B)
where x(A) and x(B) indicate, respectively, the number of units of products A and B sold. Formulate the problem of maximizing the profit assuming the firm can sell all the units it manufactures
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