A company makes two types of antihistamine formulations: one for daytime use and one for nighttime use. The net profit for the daytime formulation is 20 cents per pill and the net profit for the nighttime formulation is 25 cents per pill. The formulations differ according to the quantities of two different ingredients: the daytime formulation consists of 8 mg of ceterizine and 2 mg of chlorpheniramine maleate, while the nighttime formulation consists of 4 mg of ceterizine and 8 mg of chlorpheniramine maleate. The company has a daily supply of 2 grams of ceterizine and 3 grams of chlorpheniramine maleate, the cost of which is already factored into the net profit. In addition, the company can buy more of each ingredient from an outside supplier at a cost of $12 per gram of ceterizine and $8 per gram of chlorpheniramine maleate. How many of each type of pill should the company make each day to maximize net daily profits?
How to solve it using simplex method and tableau format?
A Complete, Neat and Step-by-step Solution is provided in the attached file.