Formulate and Solve the Following Linear Program

Essay

Formulate and solve the following linear program.A firm wants to determine how many units of each of two products (products X and Y)they should produce in order to make the most money.The profit from making a unit of product X is $100 and the profit from making a unit of product Y is $80.Although the firm can readily sell any amount of either product,it is limited by its total labor hours and total machine hours available.The total labor hours per week are 800.Product X takes 4 hours of labor per unit and Product Y takes 2 hours of labor per unit.The total machine hours available are 750 per week.Product X takes 1 machine hour per unit and Product Y takes 5 machine hours per unit.Write the constraints and the objective function for this problem,solve for the best mix of product X and Y and report the maximum value of the objective function?