Question

PLEASE HELP
Let C(q) represent the total cost of producing q items. Then C′(q) gives the marginal cost in dollars per item. Suppose a company determines that C(13)=2800 and C′(13)=73. Estimate the total cost of producing the following number of items. Your answers should be whole numbers.

a) 14 items

b) 12 items

Answer 1

@ganeshie8

Answer 2

@freckles

Answer 3

you may use linear approximation

Answer 4

ok

Answer 5

Remember, "derivative of a function at a point" gives the "slope of tangent line" at that point.

Answer 6

f(b + h) ≈ f( b ) + f’( b )∙( h )

Answer 7

@ganeshie8

Answer 8

Excellent!

so do we get :

C(14) = C(13 + 1) = C(13) + C'(13)*(1)

?

Answer 9

i think so @ganeshie8

Answer 10

C(13)=2800 and C′(13)=73.

plug them in

Answer 11

ok. is it 2,873?

Answer 12

Looks good!

Answer 13

so how would be do b?

Answer 14

@ganeshie8

Answer 15

@dan815

Answer 16

same steps for b.

Answer 17

can u help me? @Nnesha