Swapna J
29-11-08, 05:30 PM
I recently came accross this question in one of the books and wanted to find the solution The part that confuse me is 25% minimum requirment . how should i formulate this constraint . at the end of the question i have written how i think, can you all give me ur opinon as well
the question;
O'Hagan Bookworm Booksellers buys books from two publishers. Duffin House offers a package of 5 mysteries and 5 romance novels for $50, and Gorman Press offers a package of 5 mysteries and 10 romance novels for $150. O'Hagan wants to buy at least 2,500 mysteries and 3,500 romance novels, and he has promised Gorman (who has influence on the Senate Textbook Committee) that at least 25% of the total number of packages he purchases [/U]will come from Gorman Press. How many packages should O'Hagan order from each publisher in order to minimize his cost and satisfy Gorman? What will the novels cost him?
the answer i think
For this question will the linear programing equations be:
c=50x + 150y
5x+5y>= 2500
5x+10y>=3500
y>=125
*here x is Duffin house and y is Gorman press
the question;
O'Hagan Bookworm Booksellers buys books from two publishers. Duffin House offers a package of 5 mysteries and 5 romance novels for $50, and Gorman Press offers a package of 5 mysteries and 10 romance novels for $150. O'Hagan wants to buy at least 2,500 mysteries and 3,500 romance novels, and he has promised Gorman (who has influence on the Senate Textbook Committee) that at least 25% of the total number of packages he purchases [/U]will come from Gorman Press. How many packages should O'Hagan order from each publisher in order to minimize his cost and satisfy Gorman? What will the novels cost him?
the answer i think
For this question will the linear programing equations be:
c=50x + 150y
5x+5y>= 2500
5x+10y>=3500
y>=125
*here x is Duffin house and y is Gorman press