Nutrition A cat food manufacturer uses fish and beef by-products. The fish contains 12 g of protein and 3 g of fat perounce. The beef contains 6 g of protein and 9 g of fat perounce. Each can of cat food must contain at least 60 g of pro-tein and 45 g of fat. Find a system of inequalities thatdescribes the possible number of ounces of fish and beef by-products that can be used in each can to satisfy these mini-mum requirements. Graph the solution set.

Given : A cat food manufacturer uses fish and beef byproducts. To find the system…

Answered: Nutrition A cat food manufacturer uses…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Systems Of Equations And Inequalities

Section5.5: Systems Of Inequalities

Problem 74E

See similar textbooks

Similar questions

Biology Each day, an average adult moose can process about 32 kilograms of terrestrial vegetation (twigs and leaves) and aquatic vegetation. From this food, it needs to obtain about 1.9 grams of sodium and 11,000 calories of energy. Aquatic vegetation has about 0.15 gram of sodium per kilogram and about 193 calories of energy per kilogram, whereas terrestrial vegetation has minimal sodium and about four times as much energy as aquatic vegetation. Write and graph a system of inequalities that describes the amounts t and a of terrestrial and aquatic vegetation, respectively, for the daily diet of an average adult moose.
Ticket Sales For a concert event, there are $30 reserved seat tickets and $20 general admission tickets. There are 2000 reserved seats available, and fire regulations limit the number of paid ticket holders to 3000. The promoter must take in at least $75,000 in ticket sales. Write and graph a system of inequalities that describes the different numbers of tickets that can be sold.
A trailer can carry a maximum weight of 160 pounds and a maximum volume of 15 cubic feet. A microwave oven weighs 30 pounds and has 2 cubic feet of volume, while a printer weighs 20 pounds and has 3 cubic feet of space. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could 4 microwaves and 2 printers be carried on this trailer? (d) Could 7 microwaves and 3 printers be carried on this trailer?
Tickets for an American Baseball League game for 3 adults and 3 children cost less than $75, while tickets for 2 adults and 4 children cost less than $62. (a) Write a system of inequalities to model this problem. (b) Graph the system. (c) Could the tickets cost $20 for adults and $8 for children? (d) Could the tickets cost $15 for adults and $5 for children?
Shipping A warehouse supervisor has instructions to ship at least 50 bags of gravel that weigh 55 pounds each and at least 40 bags of stone that weigh 70 pounds each. The maximum weight capacity of the truck being used is 7500 pounds. (a) Write and graph a system that describes the numbers of bags of stone and gravel that can be shipped. (b) Find two solutions of the system and interpret their meanings in the context of the problem.
Coffee Blends A coffee merchant sells two different coffee blends. The Standard blend uses 4 oz of Arabica and 12 oz of robusta beans per package: the Deluxe blend uses 10 oz of arabica and 6 oz of robusta beans per package. The merchant has 80 lb of arabica and 90 Ib of robusta beans available. Find a system of inequalities that describes the possible number of Standard and Deluxe packages the merchant cam make. Graph the solution set.
Mary needs to purchase supplies of answer sheets and pencils for a standardized test to be given to the juniors at her high school. The number of the answer sheets needed is at least 5 more than the number of pencils. The pencils cost $2 and the answer sheets cost $1. Mary’s budget for these supplies allows for a maximum cost of $400. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could Mary purchase 100 pencils and 100 answer sheets? (d) Could Mary purchase 150 pencils and 150 answer sheets?
Mary needs to purchase supplies of answer sheets and pencils for a standardized test to be given to the juniors at her high school. The number of the answer sheets needed is at least 5 more than twice the number of pencils. The pencils cost $2 and the answer sheets cost $1. Mary’s budget for these supplies allows for a maximum cost of $400. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could Mary purchase 100 pencils and 100 answer sheets? (d) Could Mary purchase 150 pencils and 150 answer sheets?
Physical Fitness Facility A physical fitness facility is constructing an indoor running track with space for exercise equipment inside the track (see figure). The track must be at least 125 meters long, and the exercise space must have an area of at least 500 square meters. (a) Write and graph a system of inequalities that describes the requirements of the facility. (b) Find two solutions of the system and interpret their meanings in the context of the problem.
Tension needs to eat at least an extra 1,000 calories a day to prepare for running a marathon. He has only $25 to spend on the extra food he needs and will spend it on $0.75 donuts which have 360 calories each and $2 energy drinks which have 110 calories. (a) Write a system of inequalities that models this situation. (b) Graph the system. (c) Can he buy 8 donuts and 4 energy drinks and satisfy his caloric needs? (d) Can he buy 1 donut and 3 energy drinks and satisfy his caloric needs?
Tension needs to eat at least an extra 1,000 calories a day to prepare for running a marathon. He has only $25 to spend on the extra food he needs and will spend it on $0.75 donuts which have 360 calories each and $2 energy drinks which have 110 calories. (a) Write a system of inequalities that models this situation. (b) Graph the system. (c) Can he buy 8 donuts and 4 energy drinks? (d) Can he buy 1 donut and 3 energy drinks?
APPLICATIONS Coffee BlendsA coffee merchant sells two different coffee blends. The Standard blend uses 4oz of arabica and 12oz of robusta beans per package; the Deluxe blend uses 10oz of arabica and 6oz of robusta beans per package. The merchant has 80lb of arabica and 90lb of robusta beans available. Find a system of inequalities that describes the possible number of Standard and Deluxe packages the merchant can make. Graph the solution set.

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

College Algebra

Algebra

ISBN:

9781305115545

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra and Trigonometry (MindTap Course List)

Algebra

ISBN:

9781305071742

Author:

James Stewart, Lothar Redlin, Saleem Watson

Publisher:

Cengage Learning

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Intermediate Algebra

Algebra

ISBN:

9780998625720

Author:

Lynn Marecek

Publisher:

OpenStax College

Elementary Algebra

Algebra

ISBN:

9780998625713

Author:

Lynn Marecek, MaryAnne Anthony-Smith

Publisher:

OpenStax - Rice University

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS