Product Pricing and Profit Analysis with Bottleneck Operations

Wilmington Chemical Company produces three products: ethylene, butane, and ester. Each of these products has high demand in the market, and Wilmington Chemical is able to sell as much as it can produce of all three. The reaction operation is a bottleneck in the process and is running at $100\%$ of capacity. Wilmington wants to improve chemical operation profitability. The variable conversion cost is $$10$ per process hour. The fixed cost is $$400,000.$ In addition, the cost analyst was able to determine the following information about the three products:

$\backslash$table$[[,$Ethylene,Butane,Ester$],[$Budgeted units produced,$9,000,9,000,9,000],[$Total process hours per unit,$4\mathrm{.}0,4\mathrm{.}0,3\mathrm{.}0],[$Reactor hours per unit,$1\mathrm{.}5,1\mathrm{.}0,0\mathrm{.}5],[$Unit selling price,$$170,$$$155,$$$130$