a$.$ Develop and solve a linear programming model to determine output and input requirements which will maximize profits.

b$.$ Senior management is considering implementing modifications to the Bayou $1$ plant to increase output capacity. Due to budget constraints only one operation or process can be modified. The cost of increasing capacity is approximately the same for each operation and would result an increase of capacity up to $10\%.$ Which operation $($process$)$ would you recommend to increase capacity? Support your answer with analysis. Stay within the confines and sensitivities of the existing problem. In other words, do not provide a second run in lindo to support your analysis. Rather, rationalize from observation of the sensitivity analysis within the existing lindo output.

c$.$ A supplier is interested in selling SMP&P $10,000$ tons of Softwood Kraft pulp at a cost of $$625,000.$ Should SMP&P accept this offer? Why?