Finite Mathematics and Calculus with Applications (10th Edition)
10th Edition
ISBN: 9780321979407
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3.3, Problem 24E
Health Care Jennifer Morales was given the following advice. She should supplement her daily diet with at least 6000 USP units of vitamin A, at least 195 mg of vitamin C, and at least 600 USP units of vitamin D. Jennifer finds that Mason’s Pharmacy carries Brand X vitamin pills at 5¢ each and Brand Y vitamins at 4¢ each. Each Brand X pill contains 3000 USP units of A, 45 mg of C, and 75 USP units of D, while Brand Y pills contain 1000 USP units of A, 50 mg of C, and 200 USP units of D.
- (a) What combination of vitamin pills should she buy to obtain the least possible cost? What is the least possible cost per day?
- (b) For the solution in part (a), Jennifer is receiving more than she needs of at least one vitamin. Identify that vitamin, and tell how much surplus she is receiving. Is there any way she can avoid receiving that surplus while still meeting the other constraints and minimizing the cost ? Explain.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Many package delivery services charge a base price for packages up to some weight and a surcharge for each additional pound (or fraction thereof).
Jesaki Express, a national package delivery service, charges a base price for overnight delivery of packages weighing 2 pounds or less and a surcharge for each additional pound (or fraction thereof). You are billed $28.11 for shipping a 5.9 pound package and $61.65 for shipping a 24.3 pound package. What is the base price that Jesaki Express charges for packages weighing 2 or less?
$ . Round to the nearest cent.
Thanks!!!
Many package delivery services charge a base price for packages up to some weight and a surcharge for each additional pound (or fraction thereof).
Jesaki Express, a national package delivery service, charges a base price for overnight delivery of packages weighing 2 pounds or less and a surcharge for each additional pound (or fraction thereof). You are billed $28.11 for shipping a 5.9 pound package and $61.65 for shipping a 24.3 pound package. What is the base price that Jesaki Express charges for packages weighing 2 or less?
$ . Round to the nearest cent.
Children between the ages of 1 and 3 years old are recommended to take 700 mg of calcium per day. This amount would represent 100% of the daily intake of calcium per day for a child (i.e. if the child was to ingest 700 mg of calcium per day). On one typical day, your client who is a 2-year-old toddler drinks two cups of milk (240 mL) and eats 2 cups of yogurt. Each cup of milk contains 30% of the daily calcium intake required by that toddler. Each yogurt cup is 60 mL and contains 15% of the daily calcium intake needed for that toddler.
How much calcium in mg did this child consume for that whole day based on his consumption of both the milk and yogurt (all 4 cups combined)?
Chapter 3 Solutions
Finite Mathematics and Calculus with Applications (10th Edition)
Ch. 3.1 - Graph 3x + 2y 18.Ch. 3.1 - Graph the feasible region for the system...Ch. 3.1 - Prob. 1WECh. 3.1 - y=12x+1Ch. 3.1 - Prob. 3WECh. 3.1 - Prob. 4WECh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4E
Ch. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Graph the feasible region for each system of...Ch. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - The regions A through G in the figure can be...Ch. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - For Exercises 4247, perform the following steps....Ch. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - For Exercises 4247, perform the following steps....Ch. 3.1 - Prob. 47ECh. 3.2 - Prob. 1YTCh. 3.2 - Prob. 1WECh. 3.2 - Prob. 2WECh. 3.2 - Prob. 3WECh. 3.2 - Prob. 4WECh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.3 - Prob. 1YTCh. 3.3 - Prob. 2YTCh. 3.3 - Prob. 3YTCh. 3.3 - Prob. 1WECh. 3.3 - Prob. 2WECh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Finance A pension fund manager decides to invest a...Ch. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Blending The Mostpure Milk Company gets milk from...Ch. 3.3 - Profit The Muro Manufacturing Company makes two...Ch. 3.3 - Revenue A machine shop manufactures two types of...Ch. 3.3 - Revenue The manufacturing process requires that...Ch. 3.3 - Transportation A flash drive manufacturer has 370...Ch. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Life Sciences 21. Health Care David Willis takes...Ch. 3.3 - Predator Food Requirements A certain predator...Ch. 3.3 - Nutrition A dietician is planning a snack package...Ch. 3.3 - Health Care Jennifer Morales was given the...Ch. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3 - Determine whether each of the following statements...Ch. 3 - Determine whether each of the following statements...Ch. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 4RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 6RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 8RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 10RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 12RECh. 3 - Determine whether each of the following statements...Ch. 3 - Prob. 14RECh. 3 - Graph each linear inequality. 15. y 2x + 3Ch. 3 - Prob. 16RECh. 3 - Graph each linear inequality. 17. 2x + 6y 8Ch. 3 - Prob. 18RECh. 3 - Graph each linear inequality. 19. y xCh. 3 - Prob. 20RECh. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 22RECh. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 24RECh. 3 - Graph the solution of each system of inequalities....Ch. 3 - Prob. 26RECh. 3 - Use the given regions to find the maximum and...Ch. 3 - Prob. 28RECh. 3 - Use the graphical method to solve each linear...Ch. 3 - Prob. 30RECh. 3 - Use the graphical method to solve each linear...Ch. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - It is not necessary to check all corner points in...Ch. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Profit Refer to Exercise 37. (a) How many batches...Ch. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Construction A contractor builds boathouses in two...Ch. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - General Interest 46. Studying Ty Olden is trying...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- For every 1 kilogram (kg) of a child’s weight pediatricians prescribe 15 milligrams (mg) of a fever reducer. If Isabella weighs 12 kg, how many milligrams of the fever reducer will the pediatrician prescribe?arrow_forwardPediatricians prescribe 5 milliliters (ml) of acetaminophen for every 25 pounds of a child’s weight. How many milliliters of acetaminophen will the doctor prescribe for Emilia, who weighs 60 pounds?arrow_forwardChildren between the ages of 1 and 3 years old are recommended to take 700 mg of calcium per day. This amount would represent 100% of the daily intake of calcium per day for a child (i.e. if the child was to ingest 700 mg of calcium per day). In one typical day, your client who is a 2 year old toddler drinks two cups of milk (240 mL) and eats 2 cups of yogurt. Each cup of milk contains 30% of the daily calcium intake required by that toddler. Each yogurt cup is 60 mL and contains 15% of the daily calcium intake needed for that toddler. How much (in percentage) of his daily calcium intake did this child get for this day (from all milk and yogurt consumption)? How much (in percentage) of his daily calcium intake did this child get for this day from the yogurt only (using both cups)? How much (in percentage) of his daily calcium intake did this child get for this day from the milk only (using both cups)?arrow_forward
- Children between the ages of 1 and 3 years old are recommended to take 700 mg of calcium per day. This amount would represent 100% of the daily intake of calcium per day for a child (i.e. if the child was to ingest 700 mg of calcium per day). In one typical day, your client who is a 2 year old toddler drinks two cups of milk (240 mL) and eats 2 cups of yogurt. Each cup of milk contains 30% of the daily calcium intake required by that toddler. Each yogurt cup is 60 mL and contains 15% of the daily calcium intake needed for that toddler. How much (in percentage) of his daily calcium intake did this child get for this day from the milk only (using both cups)? How much calcium in mg did this child consume for that whole day based on his consumption of both the milk and yogurt (all 4 cups combined)?arrow_forwardMany package delivery services charge a base price for packages up to some weight and a surcharge for each additional pound (or fraction thereof). Yaster Shipping, a competing package delivery service, charges a base price for overnight delivery of packages weighing 2 pounds or less and a surcharge for each additional pound (or fraction thereof). You are billed $28.03 for shipping a 5 pound package and $68.72 for shipping a 23.9 pound package. How much does it cost to ship a 53.2 pound package? $ . Round to the nearest cent.arrow_forwardUnited Express, a national package delivery service, charges a base price for overnight delivery of packages weighing 1 pound or less and a surcharge for each additional pound (or fraction thereof). A customer is billed $20.75 for shipping a 4-pound package and $64.50 for a 29-pound package. Find the base price and the surcharge for each additional pound. The base price is $15.5. The surcharge for each additional pound is sarrow_forward
- Many package delivery services charge a base price for packages up to some weight and a surcharge for each additional pound (or fraction thereof). Yaster Shipping, a competing package delivery service, charges a base price for overnight delivery of packages weighing 1 pounds or less and a surcharge for each additional pound (or fraction thereof). You are billed $30.26 for shipping a 6.9 pound package and $65.06 for shipping a 18.1 pound package. What is the surcharge that Yaster Shipping charges for each additional pound (or fraction thereof) beyond 1 pounds? $ per pound above 1 pounds. Round to the nearest cent.arrow_forwardAmoxicillin is a common antibiotic prescribed for children. It is a liquid suspension composed of part amoxicillin and part water. In one formulation of amoxicillin suspension, there are 250 mg of amoxicillin in 5 cc of the liquid suspension. Dr. Scarlotti prescribes 400 mg per day for a 2-yr old child with an ear infection. How much of the amoxicillin liquid suspension would the child's parent need to administer in order to achieve the recommended daily dosage?arrow_forwardA lumber yard has fixed costs of $2,943.10 per day and variable costs of $0.92 per board-foot produced. Lumber sells for $2.82 per board-foot. How many board-fe must be produced and sold daily to break even? O A. 1,032 board-feet O B. 3,199 board-feet O C. 786 board-feet O D. 1549 board-feetarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY