The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x2+320. According to the model, for what size order is the cost per unit a minimum?

 The minimum cost       C(x) = 320 dollars

Step-by-step explanation:

Step(i):-

Given that the function C(x) = 5 x² + 320 ...(i)

Differentiating equation (i) with respective to 'x', we get

                C¹(x) = 5 (2x) + 0

                 C¹(x) = 10 x..(ii)

Equating zero    

                 C¹(x) = 0

            ⇒  10 x=0

            ⇒    x =0

Step(ii):-

Again differentiating equation (ii) with respective to 'x',we get

               C¹¹(x) = 10 (1) = 10 > 0

The total cost C(x) is minmimum at x=0

 The minimum cost      

                        C(x) = 5 x² + 320

                     put x= 0

                      C(x) = 0 + 320

                        C(x) = 320        

It's 8

Step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

after 1 year: 221 deer

step-by-step explanation:

30% of 170 is 51. 170+51=221