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6. The profit in dollars from the sale of x bicycles is given by

P(x) = -0.5x2 +200x - 14000 where 0 sxs 300

a) Find the change in profit when production is changed from 122 to 150 bicycles.

Respuesta :

samuelonum1

Answer:

$1792

Step-by-step explanation:

Step one:

given that the profit function is

[tex]P(x) = -0.5x^2 +200x - 14000[/tex]

let us find the profit when sale x=122

[tex]P(x) = -0.5(122)^2 +200(122) - 14000\\\\P(x)=-7442+24400-14000\\\\P(x)=2958[/tex]

Step two:

let us find the profit when sale x=150

[tex]P(x) = -0.5(150)^2 +200(150) - 14000\\\\P(x)=-11250+30000-14000\\\\P(x)=4750[/tex]

Hence the change is 4750-2958= $1792

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