Linear Programming

Question 1

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

Revolt · Accepted Answer

A: x + y 80; C: 6x + 4y 720; D: 2x + 4y 400

Question 2

Complete the objective function.

Revolt · Accepted Answer

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 $.: 70; 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 $.: 10

Question 3

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.

Revolt · Accepted Answer

: 0.40; : 0.50

Question 4

Question 4

Revolt · Accepted Answer

C:

Question 5

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: ⇒ 400Maximum: ⇒ 960

Revolt · Accepted Answer

PENDING

Question 6

Complete the constraints on the system.y x

Revolt · Accepted Answer

2

Question 7

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

Revolt · Accepted Answer

975

Question 8

Given constraints: x 0, y 0, 2x + 2y 4, x + y 8Explain the steps for maximizing the objective function P = 3x + 4y.

Revolt · Accepted Answer

To maximize the objective function, first graph the system of linear inequalities defined by the constraints to identify the feasible region. Next, determine the vertices (corner points) of this region by finding the intersection points of the boundary lines. Then, evaluate the objective function, P = 3x + 4y, at each of these vertices. Finally, compare the results; the vertex that produces the largest value is the point that maximizes the function.

Question 9

103050✔ 70

Revolt · Accepted Answer

D: ✔ 70

Question 10

Question 10

Revolt · Accepted Answer

8

Linear Programming Answers

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