A computer store sells approximately 300 of its most popular model per year. The manager would like to minimize her annual inventory cost by ordering the optimal numbers of computers, x, at regular intervals. If she orders x computers in each shipment, the cost of storage willl be 6x dollers, and the cost of reording will be 300/x (15x+10) dollers. The inventory cost is the sum of the storage cost and the reording cost.
use the distributive law to simplfy the expression for the rerding cost. Then express the inventory cost C as a function of x

- toxicsugar22

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- toxicsugar22

hi dumbcow

- dumbcow

hi

- toxicsugar22

do any of u guys underand this question

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## More answers

- dumbcow

working on it
give me a minute

- dumbcow

is x(x+15) all on denominator or just the x ?

- anonymous

the simplified version of ur question is 30x^3 + 20x^2 = 300
correct me if am wrong

- anonymous

is the cost of reording:
???

- anonymous

\[{ 300 \over x} (15x+10)\]

- toxicsugar22

yes math mind got it rightd

- anonymous

isn't it equal to 6? [300/x(15x + 10) = 6\]

- anonymous

6x that is

- dumbcow

\[C = \frac{6(x ^{2}+50x+750)}{x}\]

- anonymous

Then express the inventory cost C as a function of x:\[C(x) = 6x+{300 \over x}(15x+10) = 6x+{3000 \over x} + 45000\]
is that right?

- anonymous

oh

- dumbcow

wow i misread the question,
i am wrong sorry time for me to leave...haha

- anonymous

haha. it happens .

- toxicsugar22

yes math mind got it right

- toxicsugar22

so it says complete this of valuses for the inventory cost for various reorder size
so if x is 10 what isC how would i set that up can u show me

- anonymous

all yu do i plug 10 for x:
\[C(10)=6(10)+{3000 \over 10}+45000 = ?\]

- dumbcow

\[C=\frac{6(x^2+750x+500)}{x} \]

- toxicsugar22

ok i got it

- toxicsugar22

thanks

- toxicsugar22

How many computers should the manager order in each shipment so as to minimize the inventury cost

- dumbcow

optimal number of computers to minimize cost is 10sqrt(5)

- dumbcow

took derivative of C and set equal to zero and solve for x

- anonymous

what formula are yu using cow?

- toxicsugar22

math mind what do u think

- dumbcow

use the quotient rule since it's a fraction

- toxicsugar22

How many computers should the manager order in each shipment so as to minimize the inventury cost

- toxicsugar22

well does anyone know

- anonymous

sorry.. tv distracted me haha.. i got the same thing as cow
10sqrt{5}

- anonymous

which is 22.36 computers

- toxicsugar22

ok thanks and how many orders will she make during the year?

- toxicsugar22

does anyone know this

- anonymous

if the stores sell aprox. 300 a year and it orders 22.36 a shipment:
300/22.36 = 13.41
i think that's the answer

- toxicsugar22

ok thanks

- toxicsugar22

graph this equation and estimate the possible values for can u do that
I graphed it and tried various nubers but it is not ight

- toxicsugar22

can u try

- toxicsugar22

like if u have a graphing calculator

- anonymous

oh sorry, that i can't do :/

- toxicsugar22

ok

- toxicsugar22

its okay

- toxicsugar22

do u know a website tgraph it for me

- toxicsugar22

do u know any website that will graph it for me

- toxicsugar22

ok thanks

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