Quantitative Methods

Radio, TV, Nethelfer vomida a product to reach an dience constituting of me lach Radio Radcats 300 cache (TV). Nach S120ch Ed Troches 3.00m 2.500 women Fachperdaches 739,435 and 20 cm The company wishes to reach a 50.000.000 30,000 G: The CS The total number of TV should be a weer of 3 points The decision variables of the the above problem are defined as * O None of the answers. x1 = number of "Men" reached; x2 = number O of "women" reached; x3 = number of "Children" reached x1 = cost of "Radio" ads; x2 = cost of "TV" ads; x3 = cost of "Newspaper" ads. O x1 = number of "Radio' ads; x2 = number of "TV" ads; x3 = number of "Newspaper" ads. The objective function is written as * 3 points minimize z = 300x1 + 700x2 +120x3 O maximize z = 820x1 +3,500x2 +730x3 maximize z = 300x1 + 700x2 +120x3 O minimize z = 820x1 + 3,500x2 +730x3 The constraint of "Men" reach is * 2 points 820x1 + 250x2 + 200x3 2 50,000 820x1 + 3,500x2 + 730x3 s 50,000 820x1 + 250x2 + 200x3 = 50,000 820x1 + 3,500x2 + 730x3 2 50,000 The constraint of "Women" reach is written as: * 2 points 3,500x1 + 2,500x2 + 500x3 2 40,000 250x1 + 2,500x2 + 425x3 2 40,000 3,500x1 + 2,500x2 + 500x3 s 40,000 250x1 + 2,500x2 + 425x3 $ 40,000 The constraint of "Children" reach is 2 points written as: 200x1 + 500x2 + 250x3 s 30,000 730x1 +425x2 + 250x3 2 30,000 730x1 +425x2 + 250x3 s 30,000 200x1 + 500x2 + 250x3 2 30,000 Constraint "C4" is written as: * 3 points x2 s 20 x220 x1 2 20 O x1 s 20 Constraint "C5" is written as: * 3 points *3 - 2x2 50 O x2 - 2x320 x2 - 2x350 O x3 - 2x220 The variable condition is written as * 2 points x(i)so x(i) = {0,1) x(i)20 Ox(i)= {1,2,3)