2) An orange juice company can sell up to 15,000 tons of juice to wholesalers at $1,500 per ton. The juice is either squeezed from oranges purchased at $200 per ton or diluted from concentrate obtained at $1,600 per ton. Approximately 10,000 tons of juice oranges are available and each yields 0.2 ton of juice. The supply of concentrate is essentially unlimited, and each ton dilutes into 2 tons of juice. a) (4 points) Formulate a linear program to choose an operating plan that maximizes the companys net income (sales minus cost). b) (4 points) Determine the dual minimization problem of the above linear Programming Problem. c) (3 points) Use Excels Solver to find the optimal solution of the maximization problem you found in part a). Provide initial and final tables along with the Answer Report. d) (4 points) Use complementary slackness to find optimal solution of the minimization problem.