Jennifer has a small business mixing and selling essential oils. One product is a mixture of two oils, lavender and peppermint. She asked her assistant, Carmen, to check on two suppliers to determine the costs for her next batch. Carmen contacted the suppliers and got quotes from each for the order. She misplaced the number of ounces of each oil she needed to purchase. The information she has is: Supplier A: lavender: $5.80$5.80/ounce peppermint: $4.20$4.20/ounce Total cost: $128.40$128.40 Supplier B: lavender: $4.50$4.50/ounce peppermint: $5.00$5.00/ounce Total cost: $124$124 She decides to solve a system of equations to determine the number of ounces of lavender, LL and of peppermint, PP, she should order. What system of equations can Jennifer use to find LL and PP?

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
ChapterC: Cases
Section: Chapter Questions
Problem 5.4SA
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Jennifer has a small business mixing and selling essential oils. One product is a mixture of two oils, lavender and peppermint. She asked her assistant, Carmen, to check on two suppliers to determine the costs for her next batch. Carmen contacted the suppliers and got quotes from each for the order. She misplaced the number of ounces of each oil she needed to purchase.

The information she has is:

Supplier A:

  • lavender: $5.80$5.80/ounce
  • peppermint: $4.20$4.20/ounce
  • Total cost: $128.40$128.40

Supplier B:

  • lavender: $4.50$4.50/ounce
  • peppermint: $5.00$5.00/ounce
  • Total cost: $124$124

She decides to solve a system of equations to determine the number of ounces of lavender, LL and of peppermint, PP, she should order. What system of equations can Jennifer use to find LL and PP?

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