A company has the opportunity to produce 3 products (P1; P2; P3) out of 3 Materials (A1; A2; A3). The estimated margin of the products is:
P1= 10$, P2= 6$ and P3= 4$

Please evaluate in which quantity the products have to be produced to show the highest margin possible:

Material P1 P2 P3 Available Quantity

A1 2 1 6 300ea

A2 6 5 1 540ea

A3 4 2 4 320ea

Questions:

A. Establish the objective function and the inequations of this system. Use x1; x2; x3 instead of P1; P2; P3.

B. Create the system of equations and out of it a table for usage of the Simplex Method (just the table no evaluation!)

C. Evaluate the margin by knowing the result will be 65, 30 and 0.