Question

Suppose that the cost of producing x tablets is defined by c(x)= 200 + 10x + 0.2x squared* where x represents the number if tablets produced. The graph below represents the function.

Answer 1

we are given

$C(x)=200+10x+0.2x^2$

part-A:

Since, x is number of tablets

C(x) is cost of producing x tablets

so, vertical box is C(x)

so, we write in vertical box is "cost of producing x tablets"

Horizontal box is x

so, we write in horizontal box is "number of tablets"

part-B:

we have to find average on [a,b]

we can use formula

$\frac{C(b)-C(a)}{b-a}$

we are given point as

a: (15 , 395)

a=15 and C(15)=395

b: (20, 480)

b=20 , C(20)=480

now, we can plug values

$=\frac{480-395}{20-15}$

$=17$...........Answer

part-c:

we have to find average on [b,c]

we can use formula

$\frac{C(c)-C(b)}{c-b}$

we are given point as

b: (20, 480)

b=20 , C(20)=480

c:(25,575)

c=25 , C(c)=575

now, we can plug values

$=\frac{575-480}{25-20}$

$=19$..............Answer