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>
Coefficient = 7 and 1
7 is the coefficient of a
1 is the coefficient of b
Point-slope equation of a line:
Where m is the slope (1/4) and (xo,yo)=(2,-2)
The y-intercept is -5/2, the graph is shown in the photo.
Easy
just remember
you can do ANYTHING to an equaiton as long as you do it to both sides
try to get place holder by itself
4.5b+9=90
minus 90 from both sides
4.5b+9-9=90-9
4.5b+0=81
4.5b=81
either divide both sides by 4.5 or double 4.5 to get rid of the decimal
I will double
double both sides
9b=162
divid both sides by 9
b=18
