QUESTION 2. the feasible region shows the number of chairs x and tables y that a furniture company can build each week.
1 answer:
Answer:
Part a) The company can not build 12 chairs and 5 tables
Part b) The company can build 18 chairs and 3 tables
Part c) The company can build 12,13,14,15,16 or 17 chairs
Step-by-step explanation:
we know that
If a ordered pair is a solution, then the ordered pair must be belong to the feasible region of the graph
Part a) Can the company build 12 chairs and 5 tables?
In this problem we have the ordered pair A(12,5)
Plot and verify if the point belong to the feasible region of the graph
see the attached figure to better understand the problem
The point A is not on the feasible region
therefore
The company can not build 12 chairs and 5 tables
Part b) Can the company build 18 chairs and 3 tables?
In this problem we have the ordered pair B(18,3)
Plot and verify if the point belong to the feasible region of the graph
see the attached figure to better understand the problem
The point B is on the feasible region
therefore
The company can build 18 chairs and 3 tables
Part c) One week, the company decides to build 4 tables. how many chairs can the company build?
For y=4
Find the value of x in the graph
The solutions point for y=4 tables are
(12,4), (13,4),(14,4),(15,4),(16,4) and (17,4)
therefore
The company can build 12,13,14,15,16 or 17 chairs
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Answer:
(4,0) and (- 2,0): Answer
Step-by-step explanation:
Absolute value questions have two essential steps.
1. Solve the equation as it is written.
2. Solve it changing the sign of the right hand side. I will include a graph to confirm my answer
4*abs(x - 1) = 12 Divide by 4
- abs(x - 1) = 12/4
- abs(x - 1) = 3 Equate this to 3
- x - 1 = 3 Add 1 to both sides
- x - 1 + 1 = 3 + 1 Combine
- x = 4
4*abs(x - 1) = - 12 Divide by 4
- abs(x - 1) = - 12/4
- abs(x - 1) = - 3
- x - 1 = - 3 Add 1 to both sides
- x - 1 + 1 = -3 + 1
- x = - 2
So this has 2 answers
(4,0) and (- 2,0)
