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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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1. The difference of two numbers is 3, and the sum of three times the larger one and
vlada-n [284]

Answer: 25 and 22

Step-by-step explanation:

Since one number is 3 bigger than the other, we can call them x, and x-3.

Then we know that the sum of 3 times x and 2 times (x-3) is equal to 19, so we can make the equation

3x+2(x-3)=19

Simplifying would get you

3x+2x-6=19

adding the x's and adding six to both sides of the equations gets you

5x = 25

divide by 5 and

x=5

Put those numbers back into your previous labels for them, x and x-3, and you get 5 and 2

Hope this helps

5 0
3 years ago
The figure shows the letter T and four of its transformed images -A, B, C, and D:
laila [671]

Answer:

Come all bad girls to see and show

see d and show b and p

bqn-fozw-cbf

5 0
3 years ago
Could someone please answer question b) ii) ?<br> The question is on the attached image.
mel-nik [20]

Answer:

b) i) Curve A

ii) - 1.75

iii) x = 1 - √5  or x = 1 + √5

Step-by-step explanation:

b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.

The equation can be rearranged to y = (x - 1)² - 4

⇒ (x - 1)² = y + 4

Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.

So, the curve A represents the equation given. (Answer)

ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)

iii) When y = 1, then x² -2x - 3 = 1

⇒ x² - 2x - 4 = 0

⇒ (x - 1)² - 5 = 0

⇒ (x - 1)² - (√5)² = 0

⇒ (x - 1 + √5)(x - 1 - √5) = 0

⇒ x = 1 - √5  or x = 1 + √5 (Answer)

3 0
3 years ago
Husky Shipping Company charges a flat rate of $150 plus $0.60 per pound to transport freight in the metro area. This cost is rep
Alex73 [517]

Answer:

Total cost = $1,050

Total cost = Fixed charges + Variable charges[Total weight]

Step-by-step explanation:

Given:

Fixed charges = $150

Variable charges = $0.60

Total weight = 1,500 pound

Find:

Total cost

Computation:

Total cost = Fixed charges + Variable charges[Total weight]

Total cost = 150 + 0.60[1,500]

Total cost = 150 + 900

Total cost = $1,050

7 0
3 years ago
Find the value of each expression 12a+c-b
FinnZ [79.3K]

Answer:

We need more info, take a picture of the qustion

Step-by-step explanation:

8 0
2 years ago
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