An alloy manufacturer is planning to produce 1000 kg of an alloywith 25% of metal A and 75% of metal B by combining five availablealloys. The quantity available and prices for these alloys is shownin the following table. Alloy Type 1 Type 2 Type 3 Type 4 Type 5 %A10 15 20 30 40 %B 90 85 80 70 60 Available quantity, kg 300 400 200700 450 Price $/kg 6 10 18 24 30 As the production engineer, youare asked to determine the production schedule that will minimizecost. (a) Clearly formulate the problem giving the objectivefunction and constraints. Clearly show the design variables. (b)Put the problem in standard form. (c) Suggest a method for solvingthe problem. (d) By hand, solve the problem for the first threetableaus. Adapted from Belegundu and Chandrupatla, Optimizationconcepts and applications in engineering, Second edition
