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vivado [14]
3 years ago
12

3(y-1/7)-y =4(2-y) solve for y

Mathematics
1 answer:
Nesterboy [21]3 years ago
8 0
      3(y - ¹/₇) - y = 4(2 - y)
3(y) + 3(⁻¹/₇) - y = 4(2) + 4(-y)
    3y + (⁻³/₇) - y = 8 + (-4y)
        3y - ³/₇ - y = 8 - 4y
        3y - y - ³/₇ = 8 - 4y
             2y - ³/₇ = 8 - 4y
          <u>+ 4y              + 4y</u>
             6y - ³/₇ = 8
             <u>    + ³/₇ + ³/₇
</u>                    <u>6y</u> = <u>8³/₇
</u>                     6       6<u>
</u>                      y = 1¹⁷/₄₂
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Find the point of diminishing returns (x comma y )for the function​ R(x), where​ R(x) represents revenue​ (in thousands of​ doll
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Complete Question

The complete question is shown on the first uploaded image  

Answer:

The point of diminishing returns (x , y ) is  (11, 21462)

Step-by-step explanation:

From the question we are told that

     The function is  R(x) =  10,000 -x^3 - 33x^2 + 800x ,  \ \ 0 \le x \le 20

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Finding the second derivative of R(x)

              R''(x) =  -6x +66

at  inflection point    R''(x) =  0

    So      -6x  +66  = 0

=>           x=  11

    substituting value of x into R(x)

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Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is

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