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:

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.

x + y

x

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

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 y = .

and occurs when x =

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 =