A person has a taco stand. He has found that his daily costs are approximated by Upper C left parenthesis x right parenthesis equals x squared minus 50 x plus 865, where Upper C left parenthesis x right parenthesis is the cost, in dollars, to sell x units of tacos. Find the number of units of tacos he should sell to minimize his costs. What is the minimum cost?

Therefore he should sell 25 units of tacos to minimize his cost .

The minimum cost is $240.

Step-by-step explanation:

Given function,

where C is the cost in dollar to sell x units of tacos.

We know that,

If a function y(x)= ax²+bx+c,

then the function is minimum at

Here a= 1 , b= -50 and c= 865.

Therefore

Therefore he should sell  25 units of tacos to minimize his cost .

putting the value of x in the given function

C(25)=25²-(50×25)+865

        =240

The minimum cost is $240.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

dont think so

step-by-step explanation: