Answer Happy

Zack Manufacturing Company produces two types of protein supplement products, Mucho and Yako. The ingredients of each product, selling price and constraints are shown in Table where product Mucho require an additional packing machine that has a capacity of 90,000 packs per month. (a) Identify a linear programming (LP) model that will determine the optimal production of product Mucho and Yako on a monthly basis that will maximize the profit. (b) Determine the optimal solution for the above LP problem graphically using a graph paper and ruler. (c) Determine the optimal solution for the above LP problem using the simultaneous equation method (comer point method).
Table Description Ingredients (kg). i) Whey Protein Mix ii) Soy Protein Mix Special packing capacity per month (pack) Selling Price per pack ($) Whey Protein Mix cost per pack ($) Soy Protein Mix cost per pack ($) Variable Cost (blending) per pack ($) Mucho Yako Availability per month (kg) 400,000 2 3 3 1.5 300.000 90,000 N/A 2.80 2.00 1.50 0.75 0.40 0.60 0.25 0.20