toxicsugar22
  • toxicsugar22
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
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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toxicsugar22
  • toxicsugar22
hi dumbcow
dumbcow
  • dumbcow
hi
toxicsugar22
  • toxicsugar22
do any of u guys underand this question

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More answers

dumbcow
  • dumbcow
working on it give me a minute
dumbcow
  • dumbcow
is x(x+15) all on denominator or just the x ?
anonymous
  • anonymous
the simplified version of ur question is 30x^3 + 20x^2 = 300 correct me if am wrong
anonymous
  • anonymous
is the cost of reording: ???
anonymous
  • anonymous
\[{ 300 \over x} (15x+10)\]
toxicsugar22
  • toxicsugar22
yes math mind got it rightd
anonymous
  • anonymous
isn't it equal to 6? [300/x(15x + 10) = 6\]
anonymous
  • anonymous
6x that is
dumbcow
  • dumbcow
\[C = \frac{6(x ^{2}+50x+750)}{x}\]
anonymous
  • 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
  • anonymous
oh
dumbcow
  • dumbcow
wow i misread the question, i am wrong sorry time for me to leave...haha
anonymous
  • anonymous
haha. it happens .
toxicsugar22
  • toxicsugar22
yes math mind got it right
toxicsugar22
  • 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
  • anonymous
all yu do i plug 10 for x: \[C(10)=6(10)+{3000 \over 10}+45000 = ?\]
dumbcow
  • dumbcow
\[C=\frac{6(x^2+750x+500)}{x} \]
toxicsugar22
  • toxicsugar22
ok i got it
toxicsugar22
  • toxicsugar22
thanks
toxicsugar22
  • toxicsugar22
How many computers should the manager order in each shipment so as to minimize the inventury cost
dumbcow
  • dumbcow
optimal number of computers to minimize cost is 10sqrt(5)
dumbcow
  • dumbcow
took derivative of C and set equal to zero and solve for x
anonymous
  • anonymous
what formula are yu using cow?
toxicsugar22
  • toxicsugar22
math mind what do u think
dumbcow
  • dumbcow
use the quotient rule since it's a fraction
toxicsugar22
  • toxicsugar22
How many computers should the manager order in each shipment so as to minimize the inventury cost
toxicsugar22
  • toxicsugar22
well does anyone know
anonymous
  • anonymous
sorry.. tv distracted me haha.. i got the same thing as cow 10sqrt{5}
anonymous
  • anonymous
which is 22.36 computers
toxicsugar22
  • toxicsugar22
ok thanks and how many orders will she make during the year?
toxicsugar22
  • toxicsugar22
does anyone know this
anonymous
  • 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
  • toxicsugar22
ok thanks
toxicsugar22
  • 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
  • toxicsugar22
can u try
toxicsugar22
  • toxicsugar22
like if u have a graphing calculator
anonymous
  • anonymous
oh sorry, that i can't do :/
toxicsugar22
  • toxicsugar22
ok
toxicsugar22
  • toxicsugar22
its okay
toxicsugar22
  • toxicsugar22
do u know a website tgraph it for me
toxicsugar22
  • toxicsugar22
do u know any website that will graph it for me
toxicsugar22
  • toxicsugar22
ok thanks

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