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vazorg [7]
3 years ago
8

A company’s total cost from manufacturing and selling x units of their product is given by: y = 2x2 – 600x + 49,000. How many un

its should be manufactured in order to minimize cost, and what is the minimum cost?a. (100, $9,000)b. (125, $3,250)c. (150, $4,000)d. (170, $4,800)e. (200, $9,000)
Mathematics
1 answer:
ale4655 [162]3 years ago
3 0

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

y=2x^2-600x+49000

We need to find the number of units in order to minimize cost.

We first derivative w.r.t. x,

y'=4x-600

For critical points:

y'=0\\\\4x-600=0\\\\4x=600\\\\x=\dfrac{600}{4}\\\\x=150

Now, we will check whether it is minimum or not.

We will find second derivative .

y''=4>0

So, it will yield minimum cost.

Minimum cost would be

y(150)=2(150)^2-600\times 150+49000\\\\y(150)=\$4000

Hence, At 150 units, minimum cost = $4000

Therefore, Option 'c' is correct.

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ahrayia [7]

Answer:

  • y =  3 | x + 2 | - 5

Step-by-step explanation:

<u>The absolute value function is:</u>

  • y = | x |

<u>Step 1. Function is vertically stretched by a factor of 3:</u>

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<u>Step 2. Shifted two units left:</u>

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<u>Step 3. Shifted 5 units down:</u>

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<em>See attached</em>

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3 years ago
I need a little help! Can someone check my work? It's a written response with linear systems.
andreyandreev [35.5K]

Answer:

I'd say you need to be more specific.

Step-by-step explanation:

"Different" doesn't tell you much.

Consider the equations ...

  • y = 2x + 1
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These equations are "different", but they are <em>dependent</em>.

_____

I'd mentally (or actually) put the equations in the same form and compare the coefficients of x and y. If they have different ratios, the system is independent and consistent.

If they have the same ratio, the system will not have a single solution. Whether there is no solution or an infinite number of solutions depends on the constant, which I would examine next.

The system above can be put in the form

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In both cases, the ratio of the x coefficient to the y coefficient is 2/-1 = 4/-2 = -2. This means the lines are at least parallel, if not identical. The numbers in the second equation are all 2 times the numbers in the first equation, so the equations are <em>dependent</em>, and there are an infinite number of solutions. (Both describe the same line.)

If the second equation were 4x -2y = 1, then the two equations would be describing parallel lines, so they would be called <em>inconsistent</em>.

5 0
3 years ago
Y and x have a proportional relationship, and y = 12 when x = 5. What is the value of y when x = 8?
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When x = 8 y = 15

The way to figure this out is to subtract 12 by 5. That’s 7 so there’s a difference of 7 between both of the numbers.

Hope this helped!
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Answer:

61.25

Step-by-step explanation:

2 1/2 is 2.5 in decimal.

24.5*2.5

Multiplying 24.5 by 2.5 gives 61.25

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