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?

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Business

Finn Mcintosh

20 August, 07:40

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?

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Leonardo Sherman · Answer 1

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