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HELP 50 POINTS!!!!
A baker has modeled the monthly operating costs for making wedding cakes by the function y=0.5x^2 - 12x + 150, where the monthly operating costs in dollars and x is the number of cakes prepared.

a. What is the minimum cost?

b. How many cakes should be prepared each month to yield the minimum cost?

Respuesta :

DavidBWA21
The minimum cost y = $78. 

 
x = 12 cakes to yield minimum cost.
sandie1984
1) y = 0.5x^2 - 12x + 150 axis of symmetry x = -b/(2a) x = 12/1 = 12 y = 0.5(x^2 - 24x + 144) - 72 + 150 y = 0.5(x - 12)^2 + 78 vertex = (12, 78) 2) The vertex is the minimum point, and the minimum cost y = $78. 3) x = 12 cakes to yield minimum cost.

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