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Suppose your total benefit from eating slices of pizza​ (value in​ dollars) is x​, where x is the number of slices of pizza. Pizza is sold by the slice and costs ​$ per​ slice, and so the total cost of pizza is x. Using optimization in​ levels, what is the optimal amount of pizza for you to​ eat? Your net benefit is maximized at nothing slices of pizza. ​(Enter your response as an integer.​)

Sagot :

Batolisisidn

Answer: hello your question is poorly written below is the complete question

Suppose your total benefit from eating slices of pizza​ (value in​ dollars) is 12x - x^2​, where x is the number of slices of pizza. Pizza is sold by the slice and costs ​$2 per​ slice, and so the total cost of pizza is 2x. Using optimization in​ levels, what is the optimal amount of pizza for you to​ eat?

answer:

5 slices

Explanation:

Total Benefit/profit per slice  = 12x - x^2

number of slices = x

unit cost of pizza ( per slice ) = $2

Total cost of pizza = $2 * x = 2x

Determine the optimal amount of pizza to be eaten

using optimization process to determine the Maxima

F ≡ ( 12x - x^2 ) - ( 2x )

   = 10x - x^2

F' = 10 - 2x =0

hence x = 10 /2 = 5 slices

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