Chapter 4, Problem 29RE

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7th Edition

Stefan Waner + 1 other

ISBN: 9781337274203

Textbook Problem

**Purchasing** *You are the buyer for OHaganBooks.com and are considering increasing stocks of romance and horror novels at the new OHaganBooks.com warehouse in Texas. You have offers from two publishers:* Duffin House *and* Higgins Press. *Duffin offers a package of 5 horror novels and 5 romance novels for $50, and Higgins offers a package of 5 horror and 11 romance novels for $150. Exercises 29–32 give different scenarios for your purchasing options in response to these offers.*

How many packages should you purchase from each publisher to get exactly 4,500 horror novels and 6,600 romance novels?

To determine

**To calculate:** The number of packages that should be purchased from Duffin House and Higgins Press publishers to get exactly 4,500 horror novels and 6,600 romance novels.

Explanation

**Given Information:**

A buyer for OHagenBook.com consider to increase stocks of romance and horror novels at the new OHagenBook.com warehouse in Texas. He receives an offer from two publishers: Duffin house and Higgins Press. Duffin offers a package of 5 horror novels and 5 romance novels for

He wants to get exactly 4,500 horror novels and 6,600 romance novels.

**Formula Used:**

Elimination method:

In this method, first, combine the equations in a way such that one of the variables gets eliminated. Then substitute the value obtained of one variable in either of the equation to get the value of the other variable.

**Calculation:**

Let *x* be the number of packages in Duffin house and *y* be the number of packages in Higgins press.

Next, organize the given information in a table,

Duffin |
Higgins |
Required Totals | |

Horror | 5 | 5 | 4500 |

Romance | 5 | 11 | 6600 |

Now, the required totals of horror and romance categories in the table formed will result in two linear equations:

Apply the elimination method to find the solution of the given system of the equations:

Multiply the first equation by

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