linear programming

posted by .

help please thx

paint fair company advertises its weekly sales in newspapers, television, and radio. Each hundred dollars spent in advertising in newspapers is estimated to reach an exposure of 14 buying customers, and each hundred dollars in tv reaches an exposure 17 buying customers and each hundred dollars in radio reaches an exposure of 12 buying custumers.The company has an agreement with all three media services that it will spend less than 25% of its total money in each medium.further that it is agreed that the combined newspaper and television budget will not be larger than three times the radio budget. The company has just decided to spend no more than 700,000dollares on advertising. How much should the comapny budget for each medium if it is interested in reaching as many buying custumers as possible?

i just need the lp model so i can solve the rest...can you please help me with this...thank you very much god bless you

  • linear programming -

    please help, just for today..i really need it.thank you

  • linear programming -

    If you put
    Xn=newspaper
    Xr=radio
    Xt=TV
    then the objective function is
    Z=0.14Xn+0.12Xr+0.17Xt
    B=700000 = budget
    The budget constraints are therefore
    Xn<0.25B
    Xr<0.25B
    Xt<0.25B
    The competition constraint is
    Xn+Xt<3Xr
    So proceed with the algorithm you have learned to solve for the optimal solution. If you need additional information, here is a good reference:
    http://en.wikipedia.org/wiki/Simplex_algorithm

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calc Help

    The daily sales, S, in thousands of dollars, is a function of the money, x, spent on advertising (in thousands of dollars) according to: S(x)= -x^3+9x^2+6/6. Find the x-coordinate of the point of diminishing returns. How much money …
  2. Math

    A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are related by s=50000−430000e^(−00009x) The current weekly advertising costs are 2000 dollars and these costs are increasing …
  3. Math( help please ! )

    The profit p(x) of a cosmetics company , in thousands of dollars . is given by p(x) =-5t^2=400x-2550, where x is the amount spent on advertising in thousands of dollars a) determine the maximum profit the company can make b) dtermine …
  4. Math( help please ! )

    The profit p(x) of a cosmetics company , in thousands of dollars,is given by p(x)=-5x^2+400x-2550, where x is the amount spent on advertising , in thousands of dollars a) determine the max profit the company can make b)Determine the …
  5. business

    For dollars spent on advertising - What dollars of sales produced?
  6. calculus

    the telephone company is planning to introduce two new types of executive communications systems that it hopes to sell to its largest commercial customers. It is estimated that if the first type of system is priced at x hundred dollars …
  7. Statistics

    A household appliance manufacturer wants to analyze the relationship between total sales and the company's three primary means of advertising (television, magazines, and radio). All values are in millions of dollars. They found the …
  8. Math

    An advertising agency conducted a survey and found that the number of units sold, N, is related to the amount a spent on advertising (in dollars) by the following formula: N = 1,600 + 300 ln a (a ≥ 1). How much needs to be spent …
  9. math

    a company's monthly sales, in thousands, is given by s(x,y)=9x^.8y^.5. where x is the amount spent on newspaper advertising per month in thousands of dollars and y is the amount spent on radio advertising per month in thousands of …
  10. managerial economics

    A company wants to estimate how effective different types of advertising are for promoting its products. Specifically, the company is interested in estimating the effectiveness of radio advertising and newspaper advertising. A sample …

More Similar Questions