Linear Programming Answers

x + y 800.4x + 0.5y 1006x + 4y 7202x + 4y 4006x + 2y 7204x + 4y 400

⇒ 0.40

⇒ 0.50

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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:

Complete the constraints on the system.y x

The printing company wants to minimize costs. What is the objective function?

x + y

x

The graph represents the feasible region for the system: y [image 1] 2x x + y [image 2] 45x [image 3] 30Minimize the objective function P = 25x + 20y.The minimum value =

and occurs when x =

and y = .

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.

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103050✔ 70

✔ 10305070

⇒ 1130

⇒ 8

What is the minimum value of the objective function C = 4x + 9y?C =