Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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 :

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

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.