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Sergeeva-Olga [200]
2 years ago
15

The cost function in a computer manufacturing plant is C(x) = 0.28x^2-0.7x+1, where C(x) is the cost per hour in millions of dol

lars and x is the number of items produced per hour in thousands. Determine the minimum production cost.
Mathematics
1 answer:
Licemer1 [7]2 years ago
5 0

9514 1404 393

Answer:

  $562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

 C'(x) = 0.56x -0.7 = 0

  x = 0.7/0.56 = 1.25

The cost at that production point is ...

  C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

<em>Additional comment</em>

This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

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Anvisha [2.4K]

Answer:

<h2>AB is around 33.18</h2><h2>BC is around 15.58 </h2>

Step-by-step explanation:

adjacent/hypotenuse is sine:

cos(28 degrees)=29.3/x

cos(28 degrees)*x=29.3

x=29.3/cos(28 degrees)

x=around 33.18

AB is around 33.18

opposite/adjacent is tangent

tan(28 degrees)=x/29.3

tan(28 degrees)*29.3=x

x=tan(28 degrees)*29.3

x=around 15.58

BC is around 15.58

4 0
3 years ago
Solve the following system of equations <br> Y= -2x – 3<br> 4y + x =16
Aleksandr-060686 [28]

Answer:

(-4,5)

*View attached graph*

Step-by-step explanation:

y = -2x - 3

4y + x = 16

4y + x = 16

4(-2x - 3) + x = 16

-8x - 12 + x = 16

-7x - 12 = 16

     +12   + 12

-7x = 28

/-7    /-7

x = -4

4y + x = 16

4y + (-4) = 16

4y - 4 = 16

   + 4   + 4

4y = 20

/4     /4

y = 5

(x,y) -> (-4,5)

Hope this helps!

6 0
3 years ago
What is the means-to-MAD ratio of the two data sets, expressed as a decimal? Data set Mean Mean absolute deviation (MAD) 1 10.3
aleksklad [387]
Mean -to-MAD ratio is the division of the Mean by the Mean Absolute Deviaion (MAD). For the set 1, mean / MAD is 10.3 / 1. 6 = 6.4375; and for the set 2, Mean / MAD is: 12.7 / 1.5 = 8.467. This is a measure of disperssion of a set of values. MAD is calculated as the sum of the absolute differences of the values and the mean.
4 0
3 years ago
Plz help with this question!
Free_Kalibri [48]

Answer: 4 1/6

Step-by-step explanation:

6 0
3 years ago
Given that 2x – 9y = 11
Stels [109]

Answer:

y = 1/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2x - 9y = 11

<em>x</em> = 7

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                  2(7) - 9y = 11
  2. Multiply:                                                                                                             14 - 9y = 11
  3. [Subtraction Property of Equality] Subtract 14 on both sides:                       -9y = -3
  4. [Division Property of Equality] Divide -9 on both sides:                                 y = 1/3
8 0
2 years ago
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