Question

Topic: Partial Derivatives

A computer company has a monthly advertising budget of $ 60,000.Its marketing department estimates that if x dollars are spent each month on advertising in newspapers and y dollars per month on television advertising, then the monthly sales is given by dollars. If the profit is 15% of sales, less the advertising cost, determine how to allocate the advertising budget in order to maximize the monthly profit

Answer 1

P = S(.15) - Ac ... got that much of it :)

Answer 2

x + y = 60,000

Answer 3

P = S(.15) - 60,000 .... does this look right to you?

Answer 4

yes i had up to there, I guess I am on the right track

Answer 5

thank you very much

Answer 6

is all of the 60,000 to be spent? or some portion of it on x and y?

Answer 7

it doesnt say how much sales are generated by newspaper, and how much by tv.... thats whats getting me...

Answer 8

no it does not so, i am assuming, that , X-Y and Y=X

Answer 9

maybe have to do:

y = 60,000 -x

and

x = 60000 -y in place of that 60,000; but that still dont seem right to me....

Answer 10

your smarter at this than I am :)

Answer 11

you sure there aint no pertinent information being left out?

Answer 12

without knowing the sales generated by newspaper and tv, I got nothing....

Answer 13

S = 90x ^1/4 y^3/4 are the constraints of x +y =60,000

F( x,y, *) = f( x,y) - * ( g(x,y)- c)

Answer 14

where * is lamda

Answer 15

whats your gut tell you about what to do with:

S= 90 x^1/4 y^3/4 ??

Can we derive this with respect to "S" ? And dont trust my judgement on this, cause its a little above me at the moment :)

Answer 16

Do we make one variable constant?

Answer 17

where * is lamda