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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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Increments of seven ​
BaLLatris [955]

Answer:

Specific Learning Outcomes:  

Solve problems that involve finding powers of a number

Description of mathematics:  

In this problem students work with powers of numbers and, as a consequence, come to understand what is happening to the numbers.  

Students also see how an apparently enormous and difficult calculation can be broken down into manageable parts. The students should come to realise that there are only a limited number of unit digits obtained when 7 is raised to a power. Further,  these specific digits 'cycle round' as the power of 7 increases. This cycle is 7, 9, 3, 1, 7, 9, …

The same is true of the digit in the tens place.

6 0
3 years ago
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
My name is Ann [436]
<h3>Answer:  (2x)^3</h3>

Work Shown:

x = some unknown number

2x = twice the number

(2x)^3 = cubing the previous result

If you want to simplify this expression, then you would get 8x^3 since 2^3 = 8.

4 0
2 years ago
(I NEED THIS ASAP) Find the slope of the line. Use points shown, (-1,-5) and(2,1)
patriot [66]

Answer:

2/1 or 2

Step-by-step explanation:

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3 0
2 years ago
Plz help me solve and show your work.
xz_007 [3.2K]

Hi there!

\large\boxed{h = \frac{15x}{y}}

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

h = \frac{15x}{y}

7 0
2 years ago
I NEED HEP ASAP I WILL GIBE BRAINLIEST ANSWER FOR WHOEVER ANSWERES FIRST
mihalych1998 [28]

Answer:2

Step-by-step explanation:

8 0
3 years ago
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