Answer:
a) 50S + 30C ≤ 800
b) 1) MAX = S + C
2) Max = 0.03S + 0.05C
3) Max = 6S + 5C
Step-by-step explanation:
Given:
Total space = 800 square feet
Each sofa = 50 square feet
Each chair = 30 square feet
At least 5 sofas and 5 chairs are to be displayed.
a) Write a mathematical model representing the store's constraints:
Let S denote number of sofas displayed and C denote number of chairs displayed.
The mathematical model will be:
50S + 30C ≤ 800
At least 5 sofas are to be dispayed: S ≥ 5
At least 5 chairs are to be displayed: C ≥ 5
b)
1) Maximize the total pieces of furniture displayed:
S + C = MAX
2) Maximize the total expected number of daily sales:
MAX = 0.03S + 0.05C
3) Maximize the total expected daily profit:
Given:
Profit on sofas = $200
Profit on chairs = $100
Max Expected daily profit =
Max = (200S * 0.03) + (100C * 0.05)
<em>Max = 6S + 5C</em>
Given:
The point is (-2,4).
To find:
Whether the point (-2,4) satisfy 
or 
.
Solution:
We have a point (-2,4).
Substituting x=-2 in 3x+5 and check whether it is greater, equal or less than y value, i.e., 4.
-1 is less than 4.
In can be written as
Therefore, the given point (-2,4) satisfy .
The expression is not equivalent to 
.
<h2>Polynomial</h2>
An expression of more than two algebraic terms, basically sums of terms and variables of power n.
<h2>Given</h2>
<h2>Step by step explanation</h2>
Then the expression is not equivalent to .
Thus, the expression is not equivalent to .
More about the polynomial link is given below.
brainly.com/question/17822016
Answer:
-21x^2+6x+3
Step-by-step explanation:
distributive property
I’m pretty sure the distance would be (2,5)
