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Linear Programming Assignment Questions with
correct answers
A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6 ounces of coffee and 2 ounces of milk and earns a profit of $0.40. Each bottle of café au lait requires 4 ounces of coffee and 4 ounces of milk and earns a profit of $0.50. The manufacturer has 720 ounces of coffee and 400 ounces of milk available for production each day. To meet demand, the manufacturer must produce at least 80 coffee drinks each day. Let x = the number of cappuccino bottles and y = the number of café au lait bottles. Identify the constraints on the system other than x ≥ 0 and y ≥ 0. Correct Answer-1st 3rd 4th Complete the objective function. P = x + y Correct Answer-0.
A system has the following constraints:
x + y ≥ 80 3x + 2y ≤ 360 x + 2y ≤ 200 x ≥ 0 y ≥ 0 Which graph represents the feasible region for the system? Correct Answer-C The vertices of the feasible region represented by a system are (0, 100), (0, 80), (80, 60), (80, 0), and (120, 0). What are the minimum and maximum values of the objective function F = 8x + 5y? Minimum: Maximum: Correct Answer- 960 A printing company orders paper from two different suppliers. Supplier X charges $25 per case. Supplier Y charges $20 per case. The company needs to order at least 45 cases per day to meet demand and can order no more than 30 cases from Supplier X. The company needs no more than 2 times as many cases from Supplier Y as from Supplier X. Let x = the number of cases from Supplier X and y = the number of cases from Supplier Y.
Given constraints: x es002-1.jpg 0, y es002-2.jpg 0, 2x + 2y es002-3.jpg 4, x + y es002- 4.jpg 8 Explain the steps for maximizing the objective function P = 3x + 4y. Correct Answer-Graph the inequalities given by the set of constraints. Find points where the boundary lines intersect to form a polygon. Substitute the coordinates of each point into the objective function and find the one that results in the largest value. A company produces two products, A and B. At least 30 units of product A and at least 10 units of product B must be produced. The maximum number of units that can be produced per day is 80. Product A yields a profit of $15 and product B yields a profit of $8. Let a = the number of units of product A and b = the number of units of product B. What objective function can be used to maximize the profit? P = a + b Correct Answer- 8
The vertices of the feasible region are (70, 10), (30, 10), and (30, 50). To maximize the profit, the company should produce units of product A and units of product B. The maximum profit is $ Correct Answer- 10 1130 The graph shows the feasible region for the system with constraints: y mr001-1.jpg 15 x + y mr001-2.jpg 25 x + 2y mr001-3.jpg 30 What are the vertices of the feasible region? Check all of the boxes that apply. Correct Answer-(0,15) (10,15) (20,5) What is the minimum value of the objective function C = 4x + 9y? C = Correct Answer- Given the system of contstraints: y ≥ 2x x + y ≤ 14 y ≥ 1 5x + y ≥ 14 x + y ≥ 9 Which region represents the graph of the feasible region for the given constraints? Correct Answer-A
