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

`(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

`=(480-395)/(20-15)`

`=17`...........Answer

part-c:

we have to find average on [b,c]

we can use formula

`(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

`=(575-480)/(25-20)`

`=19`..............Answer