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:

a = 11 : 4

b = 38

c = 1 for every 6

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )