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A woman has a taco stand. she found that her daily costs are approximated by upper c left parenthesis x right parenthesis equals x squared minus 40 x plus 660c(x)=x2?40x+660 where? c(x) is the cost in dollars to sell x units of tacos. ?a) find the number of tacos she should sell to minimize her costs. ?b) what is the minimum? cost?

Respuesta :

meerkat18
we are given with a function which represents the costs entailed for her taco stand. The expression given is c(x)=x2-40x+66. to get the minimum cost, we derive the equation and equate to zero. Hence,
c'(x)=0=2x-40
40 = 2x
x=20 tacos
c(x)=20^2-40*20+660
c(x)=$260

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