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

Question

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 · Answer

hi dumbcow

dumbcow · Answer

hi

toxicsugar22 · Answer

do any of u guys underand this question

dumbcow · Answer

working on it 
give me a minute

dumbcow · Answer

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

anonymous · Answer

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

anonymous · Answer

is the cost of reording:

???

anonymous · Answer

$${ 300 \over x} (15x+10)$$

toxicsugar22 · Answer

yes math mind got it rightd

anonymous · Answer

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

anonymous · Answer

6x that is

dumbcow · Answer

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

anonymous · Answer

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 · Answer

oh

dumbcow · Answer

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

anonymous · Answer

haha. it happens .

toxicsugar22 · Answer

yes math mind got it right

toxicsugar22 · Answer

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 · Answer

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

dumbcow · Answer

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

toxicsugar22 · Answer

ok i got it

toxicsugar22 · Answer

thanks

toxicsugar22 · Answer

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

dumbcow · Answer

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

dumbcow · Answer

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

anonymous · Answer

what formula are yu using cow?

toxicsugar22 · Answer

math mind what do u think

dumbcow · Answer

use the quotient rule since it's a fraction

toxicsugar22 · Answer

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

toxicsugar22 · Answer

well does anyone know

anonymous · Answer

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

anonymous · Answer

which is 22.36 computers

toxicsugar22 · Answer

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

toxicsugar22 · Answer

does anyone know this

anonymous · Answer

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 · Answer

ok thanks

toxicsugar22 · Answer

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 · Answer

can u try

toxicsugar22 · Answer

like if u have a graphing calculator

anonymous · Answer

oh sorry, that i can't do :/

toxicsugar22 · Answer

ok

toxicsugar22 · Answer

its okay

toxicsugar22 · Answer

do u know a website tgraph it for me

toxicsugar22 · Answer

do u know any website that will graph it for me

toxicsugar22 · Answer

ok thanks