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A paint produces both interior and exterior paints from two raw materials, M 1 and M 2 . The following table provides the basic data

A paint produces both interior and exterior paints from two raw materials, M1 and M2. The
following table provides the basic data of the problem:
The daily demand for interior paint cannot exceed that for exterior paint by more than 1 ton.
Also, the maximum daily demand for interior paint is 2 tons. Your goal is to determine the daily
amounts of exterior and interior paints to be produced for maximum profit. Perform the
following steps:
a)[5pt] Formulate a linear programming problem mathematically. Clearly define the
decision variables, objective and constraints.
b)[5pt] Solve the problem using Excel's solver. (i.e., Show that Excel or Python cannot
solve this problem and report a screenshot of the error).
c)[5pt] Plot the feasible domain to show why Excel or Python cannot solve the problem.
d)[5pt] Add a new constraint based on your own judgement to make problem solvable
(there infinitely any possible ways to do that), and solve it using Excel's solver or
Python's linprog function.
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