Question

Chocolate Confections, Inc. has determined that when x chocolate cakes are made daily, the
average cost per chocolate cake is given by
C(x) = 0.001x^2 – 0.14x + 12.30
(a) What is the average cost per cake if 50 chocolate cakes are made daily?
(b) How many chocolate cakes should be made daily in order to minimize the average cost per
cake?

Answer 1

I have part A. I think its $7.80. but not part B.

Answer 2

The graph of C(x) is a parabola, U-shaped, which will have a minimum.

Find the vertex (min) of the parabola, and you'll have your solution.

Answer 3

kinda lost

Answer 4

Graph the function C(x). And you will see a minimum point (the vertex).

Answer 5

lost lost lost, thanks any

Answer 6

Do you know what a quadratic function is?

Answer 7

i have part A which I think is $7.80 is this correct?

Answer 8

Do you know what a quadratic function is?

Answer 9

Just input values in the quadratic function (the equation given in the problem) for B). Then write down the equation that gives you the least values.

Answer 10

Do you know how that your equation has a graph that is a parabola?

Answer 11

the parabola has an upward curve

Answer 12

Can you graph it?

Answer 13

i did

Answer 14

Does it have a high point or a low point?

Answer 15

thanks anyway guys
ill work on it

Answer 16

No. Wait. It has a low point. The low point is the vertex. The y coordinate of the vertex is the minimum cost.

Answer 17

Thing is, I have to allocate for "how many cakes should be made daily" and show work. I am uncertain as to how to find this.

Answer 18

do I have part A right?

Answer 19

Yes. The first part is correct. Find the vertex of your parabola. The x coordinate is x = -b/2a

Answer 20

Which is .14/.002 or 70

Answer 21

Now replace x with 70 and find the average cost.

Answer 22

Well, actually, you don't need to find the average cost because the problem only wants to know the number of cakes that result in the lowest cost. So the answer is 70

Answer 23

Thank you

Answer 24

yw