Answer:
cos (s)
Step-by-step explanation:
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>
Just like algebra
i lis like x
distribute invisible -1 to second set
-1(-1+3i)=1-3i
now we have
7-9i+1-3i
8-12i
Area of trapezoid = Area of middle rectangle + Area of the right triangle + Area of left triangle
Area of rectangle= 5cm*9cm=45cm^2
Area of right triangle= 0.5* 9cm *2cm=9cm^2
For the left triangle, its an isosceles triangle as the base angles are equal,
so area of left triangle= 9*9*0.5=40.5cm^2
Area of trapezoid= 40.5+45+9= 94.5cm^2
Because 1/4 is a fractional number, it is also a ratio which means it is Rational. :)