Question

A chemical manufacturer produces two products, chemical X and chemical Y. Each product is manufactured by a two-step process that involves blending and mixing in machine A and packaging on machine B. Chemical X provides a $60/unit contribution to profit, while Chemical Y provides a $50 contribution to profit. The processing times for the two products on the mixing machine (A) and the packaging machine (B) are as follows:

C Get Homework Hep With ChegxC Get Homework Help With Chego+ Moodle2019 EQUESTSTUDENT RESOUR QUIZ NAVIGATION Ouestee 1 A Chemical manfacturer produces two products. Chemical × ao chemical Y. Eacn proact is manuraonred by a twostep process Paints ast of while Chemical Y provides a $50 contribution to proft. The processing times for the two products on the ming machine (A) and the packaging machine (E) are as tollows Finitsh attempt questn dachine 4 hours) Machne B hours) Chemicaly For the upcoming two-week period, machine A has available 80 hours and machine B has available 60 hours of processing time Forecasts of the markets indicate that the manufacturer can expect to sell a maxmum o 16 unts of chemica X and 18 unts of chemical Y we let X bere amount of chemical X to proace and y be the amounorcrerical Y to produce. What are the decision variables in this problem? Answer O Type here to search 苷 무 292013

Answer 1

Decision variables describe the quantities that the decision makers would like to determine. They are the unknowns of a linear programming model. Typically, we will determine optimum values of the decision variables as a part of linear programming.

In the given problem, we have to optimize the amount of chemical X and Y to produce so that we can maximize profit.

Decision variables in the problem are defined based on amount of chemical X to produce and the amount of chemical Y to produce.