For each of the following linear programming models, give your recommendation on which is the more efficient way (probably) to obtain an optimal solution: by applying the simplex method directly to this primal problem or by applying the simplex method directly to the dual problem instead. Explain. (a) Maximize Z= 10x1 - 4x2 + 7x3, subject to 3x - x2 + 2xz < 25 X1 - 2x2 + 3x3 = 25 5x + x2 + 2x3 = 40 x1 + x2 + x3 = 90 2x1 - x2 + x3 = 20 and x, 20, 20, x2 > 0. (b) Maximize Z = 2xy + 5x2 + 3x3 + 4X4 + X5, subject to x1 + 3x2 + 2x3 + 3x4 + x3 = 6 4x1 + 6x2 + 5xz + 7x4 + x3 = 15 and x; 20, for j = 1, 2, 3, 4, 5.

What are the forecasted levels of the line of credit and special dividends? (hints: create a column showing the ratios for the current year; then create a new column showing the ratios used in the forecast. also, create a preliminary forecast that doesn’t include any new line of credit or special dividends. identify the financing deficit or surplus in this preliminary forecast and then add a new column that shows the final forecast that includes any new line of credit or special dividend.) now assume that the growth in sales is only 3%. what are the forecasted levels of the line of credit and special dividends?

Upper a report about the decline of western investment in third world countries included this: "after years of daily flights comma several european airlines halted passenger service. foreign investment fell 400 percent during the 1990 s." what is wrong with this statement? choose the correct answer below. a. if foreign investment fell by 100 % comma it would be totally eliminated comma so it is not possible for it to fall by more than 100 %. b. the actual amount of the decrease in foreign investment is less than 100%. c. if foreign investment fell by 100%, it would be cut in half. thus, a decrease of 200% means that it would be totally eliminated, and a decrease of more than 200% is impossible. d. the statement does not mention the initial amount of foreign investment.

Whom do progressive taxes assess? a. only a large percentage of high-income households b. only a large percentage of organizations c. a large percentage of high-income households and organizations d. a large percentage of low-income households e. a small percentage of high-income households