Answer:
22.05
Step-by-step explanation:
21/2 has 5 halves
10.5 divided by 5= 2.1
2.1= 1/2 2.1 x 10 = 21
2.1 / 2 = 1.05
21 + 1.05= 22.05
Answer:
8x-9y-2
Step-by-step explanation:
We just add like terms:
Put them all together to give you:

Answer:
z - 2*x - 1.5*y = 0 maximize
subject to:
3*x + 5*y ≤ 800
8*x + 3*y ≤ 1200
x, y > 0
Step-by-step explanation:
Formulation:
Kane Manufacturing produce x units of model A (fireplace grates)
and y units of model B
quantity Iron cast lbs labor (min) Profit $
Model A x 3 8 2
Model B y 5 3 1.50
We have 800 lbs of iron cast and 1200 min of labor available
We need to find out how many units x and units y per day to maximiza profit
First constraint Iron cast lbs 800 lbs
3*x + 5*y ≤ 800 3*x + 5*y + s₁ = 800
Second constraint labor 1200 min available
8*x + 3*y ≤ 1200 8*x + 3*y + s₂ = 1200
Objective function
z = 2*x + 1.5*y to maximize z - 2*x - 1.5*y = 0
x > 0 y > 0
The first table is ( to apply simplex method )
z x y s₁ s₂ Cte
1 -2 -1.5 0 0 0
0 3 5 1 0 800
0 8 3 0 1 1200
Answer: The answer is m=1.5
Step-by-step explanation: Divide both sides by 0.5 and you will find m.
Answer:
Option C is correct
a + 0 = a
Step-by-step explanation:
Additive identity:
For any real number x,

We have to find an example of the additive identity from the given options.
Option A.
a+(-a) = 0
Which does not follow the additive identity.
Option B.
a+0 = 0
which does not follow the additive identity.
Option C.
a+0 = a
this equation follows the additive identity.
Therefore,an example of the additive identity is, a + 0 = a