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grigory [225]
3 years ago
9

Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amou

nt of capital used (C) by the following function: S = 20 L0.30 C 0.70 In this formula L represents the units of labor input and C the units of capital input. Each unit of labor costs $50, and each unit of capital costs $100.(a) Formulate an optimization problem that will determine how much labor and capital are needed in order to produce 50,000 tons of steel at minimum cost.b) Solve the optimization problem you formulated in part a.

Mathematics
1 answer:
natima [27]3 years ago
4 0

Answer:

THE AMOUNT OF LABOR TO BE USED  IS 2,244.28

THE AMOUNT OF CAPITAL TO BE USED IS 2,619.33

THE MINIMUM PRODUCTION COST IS $374,047

Step-by-step explanation:

PLEASE CHECK ATTACHMENT FOR COMPLETE SOLUTION AND STEP BY STEP EXPLANATION

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ok so if you have 3 and 1/4 pizza and want to subtract 3/4 out of it,and get 3x more slices then you had from a friend after sub
Brilliant_brown [7]

Answer:

You have 2 and 1/2 pizzas and your friend has 5/6 of a pizza.

Step-by-step explanation:

You have 3 1/4 pizzas. If you get rid of 3/4 of a pizza, you will end up with 2 2/4 pizzas.

To make it easier, you can just change the values into improper fractions: 3 1/4 = 13/4

13/4 - 3/4 = 10/4

10/4 = 2 2/4 pizzas

(2 2/4 = 2 1/2)

Anyways! You now have 2 and a half pizzas. You have 3 times the amount of pizza that your friend has. In other words, your friend has 1/3 the amount of pizza that you have. You can solve for this in two ways, whichever way you solve it is up to you.

  1. You can solve this problem by dividing the amount of food you have by 3: \frac{2\frac{1}{2} }{3} which equals 0.8333... (the 3 is repeating). But you can just keep your final answer in fraction form if you want to: \frac{2.5}{3} = \frac{5}{6}
  2. You can solve this problem by multiplying 1/3 to the amount of food you have: \frac{1}{3} * 2 \frac{2}{4}\\=\frac{10}{12}\\ =\frac{5}{6}

You have 2 and 1/2 pizzas and your friend has 5/6 of a pizza.

8 0
3 years ago
Four more than three times n equals -5
Verizon [17]
3n+4=-5

do the opposite of adding 4. this means you have to subtract 4 from 4. whatever you do to the problem, you must do to the answer. now subtract 4 from -5.

-5-4=-9

since 4-4=0, we can take 4 out of the equation. now you have:

3n=-9

now divide -9 by 3

-9/3=-3

n=-3

hope this helps :)
5 0
4 years ago
Suppose that you want to mix two coffees in order to obtain 100 pounds of a blend. If x represents the number of pounds of coffe
Fantom [35]

Answer:

The required expression that represents the number of pound of coffees B is 100-x

Step-by-step explanation:

Consider the provided information.

You want to mix two coffees in order to obtain 100 pounds of a blend.

Let x represents the number of pounds of coffee​ A and y represents the number of pounds of coffee​ B.

The obtained weight is 100 pounds.

x+y=100

y=100-x

Hence, the required expression that represents the number of pound of coffees B is 100-x

8 0
3 years ago
An​ assembly-line machine turns out washers with the following thicknesses​ (in millimeters). Find the mean and standard deviati
Tatiana [17]
❀I've attached how to solve your question below❀
(Please excuse my handwriting)

❀Good luck!❀

5 0
3 years ago
Which expression would correctly calculate the sale price of an item marked 15% off an original price of $63.95?
Katarina [22]
The Answer Would Be C
3 0
3 years ago
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