**PetSmart.com Dog Food Varieties - June 2003**PetSmart.com offered the following varieties of dog food:1. **Nature's Recipe Venison Meal & Rice Canine** - Protein Content: 20% - Price: $21.99 per 20-lb bag2. **Nutro Max Natural Dog Food** - Protein Content: 27% - Price: $12.99 per 17.5-lb bag3. **PetSmart Premier Oven Baked Lamb** - Protein Content: 25% - Price: $22.99 per 30-lb bag**Problem Statement:**A dog breeder wants to create a 300-pound blend containing exactly 22% protein. Determine the number of bags of each type of dog food the breeder should purchase. (Note: Each bag is a different weight, and fraction bags may not be bought.)**Instructions:**- Include an introduction and conclusion in your report.- Adhere to the case study guidelines.- Save your report as a PDF and upload it by the deadline.

Given that Pet smart sold the varieties of dog food as follows: The objective is to find that a breeder, who wants to make 300 pounds of a mix containing exactly 22 percent protein, should buy how many bag for each dog.Let x be the number of bags of Nature’s Recipe Vension Meal and Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He wants to make 300 pounds of a mix. Then, Now, In 20x pounds of Nature’s Recipe Vension Meal and Rice Canine 20 percent protein is 0.2.20x = 4x pounds of protein. In 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27.17.5y = 4.725y pounds of protein. In 30z pounds of PetSmart Premier Oven Baked Lamb percent protein is 0.25.30z =7.5 pounds of protein. Then, Therefore, the system of equation: From the first equation: Substitute it into second equation: Simplify it: y must be divided by 20, then: y=0, x=9, z=10-6=4 y=20, x=16, z is not a whole number. y= 40, x=23, z=10-20-35<0 Thus, all other possible z will be less than. Therefore, 9 bags with first mix, 0 bag with second mix and 4 bags with third mix. Hence, Dog Breeder should buy 9 bags with first mix, 0 bag with second mix and 4 bags with third mix.

Math

Advanced Math

PetSmart.com sold the following varieties of dog food in June 2003. 20 percent protein, $21.99 per 20-lb Nature's Recipe Venison Meal & Rice Canine bag 27 percent protein, $12.99 per 17.5- Nutro Max Natural Dog Food Ib bag PetSmart Premier Oven Baked Lamb 25 percent protein, $22.99 per 30-lb bag A dog breeder wants to make 300 pounds of a mix containing exactly 22 percent protein. How many bags of each dog food variety should the breeder buy? (Hint: Note that each bag is a different weight and fractions of bags may not be purchased.) Include an introduction and conclusion in your report and follow the case study guidelines. Save your report as a PDF and upload it here by the deadline.

PetSmart.com sold the following varieties of dog food in June 2003. 20 percent protein, $21.99 per 20-lb Nature's Recipe Venison Meal & Rice Canine bag 27 percent protein, $12.99 per 17.5- Nutro Max Natural Dog Food Ib bag PetSmart Premier Oven Baked Lamb 25 percent protein, $22.99 per 30-lb bag A dog breeder wants to make 300 pounds of a mix containing exactly 22 percent protein. How many bags of each dog food variety should the breeder buy? (Hint: Note that each bag is a different weight and fractions of bags may not be purchased.) Include an introduction and conclusion in your report and follow the case study guidelines. Save your report as a PDF and upload it here by the deadline.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

**PetSmart.com Dog Food Varieties - June 2003**

PetSmart.com offered the following varieties of dog food:

1. **Nature's Recipe Venison Meal & Rice Canine**
- Protein Content: 20%
- Price: $21.99 per 20-lb bag

2. **Nutro Max Natural Dog Food**
- Protein Content: 27%
- Price: $12.99 per 17.5-lb bag

3. **PetSmart Premier Oven Baked Lamb**
- Protein Content: 25%
- Price: $22.99 per 30-lb bag

**Problem Statement:**
A dog breeder wants to create a 300-pound blend containing exactly 22% protein. Determine the number of bags of each type of dog food the breeder should purchase. (Note: Each bag is a different weight, and fraction bags may not be bought.)

**Instructions:**
- Include an introduction and conclusion in your report.
- Adhere to the case study guidelines.
- Save your report as a PDF and upload it by the deadline.

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