a linear programming maximization problem has been solved in the optimal solution, two resources are scarce. if an added amount could be found for only one of these resources, how would the optimal solution be changed? a. the shadow price of the added resource will rise. b. the solution stays the same; the extra resource cant be used without more of the other scarce resource. c. the extra resource will cause the value of the objective to fall.d. the optimal mix will be rearrange dto use the added resource, and the value of the objective function will rise. e. none of the aboveWhich one of the following is considered a causal method of forecasting?In sensitivity analysis, a zero shadow price (or dual value) for a resource ordinarily means thata. the resource is scarceb. the resource constraint was redundantc. the resource has not been used upd. something is wrong with the problem formulatione. none of the aboveA maximizing linear programming problem has two constraints: 2x + 4Y <= 100 and 3x + 10Y <= 210, in addition to constraints stating that both x and y must be nonnegative. The corner points of the feasible region of this problem are a. (0,0), (50, 0), (0, 21), and (20,15)b. (0, 0), (70,0), (25,0) and (15, 20)C. (20, 15)D (0,0), (0, 100) and (210, 0)what combination of x and y will yield the optimum for htis problem? minimize $3x + $15y, subject to (1) 2x + 4y <= 12 and (2) 5x + 2y<=10a. x = 2, y=0b. x = 0, y = 3c. x = 0, y =0d. x = 1, y = 5 e none of the aboveA linear programming problem has three constraints: 2x+10Y <= 1004x + 6y <= 1206x +3y <= 90What is the largest quantity of X that can be made without violating any of these constraints?a. 50b. 30c. 20d. 15e. 10a linear programming problem contains a restriction that reads "the quantity of x must be at least three times as large as the quantity of Y. " which of the following inequalities is the proper formulation of this constraint? a. 3X >= Yb. X <= 3Yc. X + Y >= 3d. x - 3Y >= 0e. 3x <= Yan iso-profit linea. can be used to help sovle a profit maximizing linear programming problemb. is parallel to all other iso-profit lines in the same problemc. is a line with the same profit at all pointsd. none of the abovee. all of the aboveA linear programming problem has two constraints 2x + 4y = 100 and 1x + 8y <= 100, plus non-negativity constraints on x and y. which of the following statements about its feasible region is true. a. the points (100, 0) and (0, 25) both lie outside the feasible region. b. the two corner points are (3301/3, 8-1/3 and (50, 0c. the graphical origin (0, 0) is not in the feasible region. d. the feasible region is a straight line segment not an area e. all of the above are trueWhich of the following is not a requirement of a linear programming problem?a. an objective function, expressed in terms of linear equationsb. constraint equations, expressed as linear equationsc. An objective function, to be maximized or minimized d. alternative courses of actione. for each decision variable, there must be one constraint or resource limitFor the two constraints given below, which point is the feasible region of this maximization problem? (1) 14x + 6y <= 42 (2) x - y <= 3a. x = 2, y = 1b x = 1, y = 5c x = -31, y = 1d x = 4, y = 4e x =2, y = 8A maximizing linear programming problem with variables X and Y and constraints C1, C2, and C3 has been solved the dual values (not the solution quantities) associated with the problem are x = 0, y = 0, c1 = $2, c2 = $.50 and c3 = $0 which statement below is false? a. one more unit of the resource in c1 would add $ 2 to the objective funciton value. b. one more unit of the resource c. the resource in c3 has not been used upd. the rsources in c1 and in c2, but not in c3 are scarce. e. all of the above are true.Which of the following cominations of constraints has no feasible region? a. X+ y >= 15 and x-y <= 10b. x + y >= 5 and x >= 10 c. x >= 10 and y >= 20d. x + y >= 100 and x + y <= 50e. all of the above have a feasible regionA linear programming problem contains a restriction that reads "the quantity of Q must be no larger than the sum of R, S and T. Formulate this as a constraint ready for use in a problem solving softwarea. Q + R + S + T <= 4b. Q >= R + S + T c. Q-R-S-T <= 0d. Q/ (R+S+T) <= 0e. none of the abovewhat combination of x and y will yield the optimum for this problem? maximize $3x + 15y, subject to 2x + 4y <= 12 and (2) 5 x + 2y <= 10 a. x = 2, y = 0b x = 0, y = 3c. x = 0, y = 0d. x = 1, y = 5 e none of the abovewhat combination of x and y will yield the optimum for this problem? maximize $3x + $15y, subject to (1) 2x + 4y <= 12 and (2) 5x + 2y <= 10.a. x = 2, y = 0 b. x = 0, y = 3c. x = 0, y = 0d. x = 1, y = 5e. none of the aboveUsing the graphical solution method to solve a maximum requires that we a. find the value of the objective function at the originb. move the iso-profit line to the highest level that still touches some part of the feasible regionc. move the iso-cost line to be the lowest level that still touches some part of the feasible regiond. apply the method of simultaneous equations to solve for the intersections of constraints e none of the aboveWhich of the following represents valid constraints in linear programming? a. 2X >= 7X*Y b. 2X * 7Y >= 500 C 2X + 7Y >= 500 D 2X^2 + 7Y >= 50e All of the above are valid linear programming constraintsfor the two constraints given below, which point is in the feasible region of this minimization problem? 1) 14x + 6y >= 422) x-y>= 3a. x = -1, y = 1b. x = 0, y = 4c. x = 2, y = 1, d x = 5, y = 1e x = 2, y = 0Automatically created for each relevant third party in Sales Processing using Third-Party without Shipping Notification
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