chemical brothers produces three chemicals: W, Y, and Z.
The company begins the production process by purchasing chemical X for cost of $650 per liter.
For an additional cost of $320 and 3 hours of labor, one liter of X can be turned into 0.4 liter of chemical Y and 0.6 liters of chemical W.
Chemical Y can either be sold or processed further. It costs $130 and 1 hour of labor to turn one liter Y into 0.6 liters of chemical Z and 0.4 liters of chemical W. For each chemical, the selling price(per liter) and the maximum amount that can be sold is given in the following table:
Product W Product Y Product Z
Selling price $1250 $1800 $2680
Maximum sales 30 60 40
A maximum of 200 hours of labor is available.
How can chemical brothers maximize its profit?