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sergejj [24]
3 years ago
8

Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per bicycle is given by​ C(x)equa

ls=0.50.5xsquared2minus−0.20.2xplus+6.7566.756​, where​ C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per​ bicycle?
Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

20 Bicycles

Step-by-step explanation:

The function for the average cost,C(x) [in hundred of dollars] per bicycle whenever x hundred bicycles are built is given as:

C(x)=0.5x^2-0.2x+6.756

The minimum value of C occurs at the axis of symmetry.

Axis of Symmetry, x=-\frac{b}{2a}

Comparing with the standard form of a quadratic equation ax^2+bx+c=0

a=0.5, b=-0.2

x=-\frac{(-0.2)}{2*0.5}\\x=0.2

x=0.2 Hundreds =0.2 X 100 =20

When Aki's Bicycle Designs produces 20 Bicycles, the cost is minimized.

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ycow [4]

Part (a)

There are 7 red out of 7+3 = 10 total

<h3>Answer: 7/10</h3>

==========================================================

Part (b)

We have 3 green out of 10 total

<h3>Answer: 3/10</h3>

==========================================================

Part (c)

3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)

So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.

<h3>Answer: 9/100</h3>

==========================================================

Part (d)

Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.

(7/10)*(7/10) = 49/100

<h3>Answer: 49/100</h3>

==========================================================

Part (e)

7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.

(7/10)*(3/10) = 21/100

<h3>Answer: 21/100</h3>

==========================================================

Part (f)

We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).

<h3>Answer: 21/100</h3>
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Need more math help please
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3 years ago
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Answer:

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