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>
Answer: look at the symbols <, > and <=, >=
Step-by-step explanation:
If the inequality is < or >, graph the equation as a dotted line. If the inequality is <= or >=, graph the equation as a solid line.
<span>30v + 50x = 10(3v + 5x) (Answer A)
2k</span>² + 4k = 2k(k + 2) (Answer D)<span>
</span>
Answer:
D
Step-by-step explanation:
Equation of the line
y - y1 = m(x - x1)
y - (-4) = 1/3 (x - 3)
y + 4 = 1/3x - 1
y = 1/3 x - 5
the graph that intercept y axis in -5 is the graph D
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