(Solved): The Washington Chemical Company produces chemicals and solvents for the glue industry. The producti ...

The Washington Chemical Company produces chemicals and solvents for the glue industry. The production process is divided into several Tocused tactories," each producing a : spocific set of products. The time has come to propare the production plan for one of the focused tactories. This particular factory produces five products, which munt pass through both the reactor and the separator. Each product also requires a certain combination of raw maletials. Production data are shown below. "The tokal time avalable has been adjusted to account for setups. The five products have a prescribed sequence owing to the cost of changeovers between products. The company has a 35 -day cycle for 10 changeovers per year per product). Consequently, the time for these changoovers has been deducted trom the total time avalable for these machines. The Washington Chemical Company has a iong-term contract with a major glue manutacturer that requires annual production of 2 , 500 pounds of both products 3 and 4 . More of these products could be produced because demand currently exceeds production capacity. a. Assume that the objective is to maximize profits. Let \( \mathrm{X}_{\mathrm{t}}= \) arnjal production quantty of product 1 , \( x_{2}= \) annual production quantly of product 2 , \( x_{3}= \) annual production quantity of product 3 , \( x_{4}= \) annual production quantity of product 4 , \( X_{5}= \) anneal production quantly of product 5 .