Allepart from Winston, 2004): ChemCo produces products B, C, and D. They begin by purchasing product A for a cost of $8/lb. For an additional cost of $3 and the use of 4 hours of skilled labor, a pound of product A can be transformed into 0.4 lb of product Cand 0.6 lb of product B. Product C can either be sold or processed further. It costs $1 and takes 1 hour of skilled labor to process 1 lb of product Cinto 0.6 lb of product D and 0.4 lb of product B. A maximum of 200 labor hours are available. The sales price per pound for each product is as follows: product B-$14; product C-$19; product D- $27. At most 30 lb of product B, 60 lb of product C, and 40 lb of product D can be sold. It is not acceptable for the production process to result in excess of any product; therefore any product that is created but not processed must be sold. Formulate a linear program whose solution will tell Chemco how to maximize profit. Allepart from Winston, 2004): ChemCo produces products B, C, and D. They begin by purchasing product A for a cost of $8/lb. For an additional cost of $3 and the use of 4 hours of skilled labor, a pound of product A can be transformed into 0.4 lb of product Cand 0.6 lb of product B. Product C can either be sold or processed further. It costs $1 and takes 1 hour of skilled labor to process 1 lb of product Cinto 0.6 lb of product D and 0.4 lb of product B. A maximum of 200 labor hours are available. The sales price per pound for each product is as follows: product B-$14; product C-$19; product D- $27. At most 30 lb of product B, 60 lb of product C, and 40 lb of product D can be sold. It is not acceptable for the production process to result in excess of any product; therefore any product that is created but not processed must be sold. Formulate a linear program whose solution will tell Chemco how to maximize profit