Molecular Products produces three chemicals: B$,$ C$,$ and D$.$ The company begins by purchasing chemical A for a cost of $$650$ per $100$ liters. For an additional cost of $$320$ and the use of three hours of skilled labor, $100$ liters of A can be transformed into $40$ liters of C and $60$ liters of B$.$ Chemical C can either be sold or processed further. It costs $$130$ and one hour of skilled labor to process $100$ liters of C into $60$ liters of D and $40$ liters of B$.$ For each chemical, the selling price per $100$ liters and the maximum amount $($in $100$s of liters$)$ that can be sold are listed in the file P$04\_93.$xlsx$.$ A maximum of $200$ labor hours is available. Determine how Molecular can maximize its profit. a$.$ What is the optimal amount of chemical A the company should purchase? If needed, round your answer to a whole number. $\_\_\_\_\_\_\_\_$ liters b$.$ What is the optimal amount of chemical C the company should reprocess? If needed, round your answer to a whole number. $\_\_\_\_\_\_\_\_$liters c$.$ What is the optimized profit to the company? If needed, round your answer to a whole number. $$\_\_\_\_\_\_\_\_$ Molecular Products data Note: all units of product are in $100$s of liters Product B C D Selling prices $$1,250$ $$1,640$ $$2,680$ Maximum sales $306040$