Answer:
z(max) = 650 $
x₁ = 10 units
x₂ = 15 units
Step-by-step explanation:
That is a linear programming problem, we will use a simplex method to solve it
Formulation:
Let´s call x₁ number of chairs and x₂ number of tables then :
Item (in hours) cutting assembly finishing Profit ($)
Chairs (x₁) 1 2 1 20
Tables (x₂) 2 1 1 30
Availability 40 42 25
Objective Function
z = 20*x₁ + 30x₂ ( to maximize) subject to:
x₁ + 2x₂ ≤ 40
2x₁ + x₂ ≤ 42
x₁ + x₂ ≤ 25
x₁ , x₂ >= 0
Using excel or any other software we find:
z(max) = 650
x₁ = 10
x₂ = 15
Answer:
120 quarts
Step-by-step explanation:
1 gallon=4 quarts
30x4= 120
vertex = (10, - 8)
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = (x - 10)² - 8 is in this form with (h, k) = (10, - 8) ← vertex
If you are looking for the constant it would be 2/3
I don't see the options
<span>5.708×10^−8
</span><span>What is the number in standard form?
</span>
5.708×10^−8 = 0.00000005708<span>
hope it helps</span>
