Ms. Hariss has a taco stand. she has found that her dailycosts are approximated

Question

Ms. Hariss has a taco stand. she has found that her dailycosts are approximated by                                                    c(x)=x2-40x+610, where c(x) is the cost, in dollars, to sell x units of tacos.find the number of units of tacos she sould sell to minumize hercosts. what is the minimum cost? Ms. Hariss has a taco stand. she has found that her dailycosts are approximated by                                                    c(x)=x2-40x+610, where c(x) is the cost, in dollars, to sell x units of tacos.find the number of units of tacos she sould sell to minumize hercosts. what is the minimum cost?

Explanation / Answer

Forgetting the situation for just a second, we can take a look atthe equation. c(x)=x2-40x+610 It is a parabola that opens upward and has a minimum value. That minimum value will be the minimum cost of the taco stand. The equation x=-b/2a gives you the axis of symmetry of theparabola. Basically, it goes right down the middle of the parabola,right through its minimum In the equation c(x)=x2-40x+610, a=1 and b=-40 x=-b/2a x=-(-40/2(1)) = 20 So 20 tacos should be sold to achieve the minimum cost. To find the cost, return to the original equation. c(x)=x2-40x+610 c(20)=(20)2-40(20)+610 = 210 So the minimum cost is $210.

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