AnswersFL-1200330-Algebra 2 Sem 1 - FlexInequalities

Linear Programming Answers

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

A
x + y 80
Option A
B
0.4x + 0.5y 100
Option B
C
6x + 4y 720
Option C
D
2x + 4y 400
Option D
E
6x + 2y 720
Option E
F
4x + 4y 400
Option F
2
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Question text not available

Answer:

0.50

3

⇒ 1130

Answer:

PENDING

4

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

A
P = 45x + 20y
B
P = 25x + 45y
C
P = 25x + 10y
D
P = 25x + 20y
5

Complete the objective function.

Answers:
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
6

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.

Answers:
Blank 1:0.40
Blank 2:0.50
7

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
8

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

Answer:

PENDING

9

Complete the constraints on the system.y x

Question illustration
Answer:

2

10

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

Question illustration
Answer:

975

11

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

Question illustration
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.

12

103050✔ 70

Answers:
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
13

Question text not available

Answer:

8

14

The graph shows the feasible region for the system with constraints:y 15 x + y 25 x + 2y 30What are the vertices of the feasible region? Check all of the boxes that apply.

Question illustration
A
(0, 25)
B
(0, 15)
C
(10, 15)
D
(20, 5)
E
(25, 0)
F
(30, 0)
15

What is the minimum value of the objective function C = 4x + 9y?C = ⇒ 125

Answer:

PENDING

16

ABC

A
A
B
B
C
C
17

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.

Answers:
Blank 1:PENDING
Blank 2:PENDING
18

Question text not available

Question illustration
Answers:
Blank 1:PENDING
Blank 2:PENDING
19

Did you include these steps in your answer? Check all of the boxes that apply.

A
Graph the linear inequalities.
B
Find the vertices of the feasible region.
C
Evaluate the objective function at each vertex of the feasible region.
D
Find the point that results in the largest value
20

Question text not available

Answers:
Blank 1:15
Blank 2:8

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