Answer:
52.2%
Step-by-step explanation:
The total workforce is 11 + 12 = 23
Fraction of men = 
= 
To change the fraction to a percentage multiply the fraction by 100%
percent of men = × 100% = 52.2% ( to 1 dec. place )
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:
20 chairs
Step-by-step explanation:
Since we are given the amount total budget and the total amount for the desks then the only variable missing is the maximum amount of chairs. This can be solved with the following equation in which s represents the number of chairs, and we simply solve for s.
800 = 320 + 24s ... subtract both sides by 300
500 = 24s ... divide both sides by 24
20.83 = s
Now we see that the maximum number of chairs that the librarian can buy is 20 because 21 would make her go over the budget and you cannot have 0.83 of a chair.
Answer:
The answer is B. 105 miles
Step-by-step explanation:
I just used a calculator and put in 30 times a random number until I got 63. So, 30 times 2.1 is 63. Then, I multiplied 50 times 2.1 to get 105 as the answer.
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The point (-2,-5) is in the 3rd quadrant (the one on the bottom left - the numbering is weird) bc both the x-value & y-value are negative
