John wishes to choose a combination oftwo types of cereals for breakfast - CerealA and Cereal B. A small box (one serving)of Cereal A costs $0.45 and contains 10units of vitamins, 5 units of minerals, and15 calories. A small box (one serving) ofCereal B costs $0.50 and contains 5 unitsof vitamins, 10 units of minerals, and 15calories. John wants to buy enough boxesto have at least 525 vitamins, 650 minerals,and 1275 calories. How many boxes ofeach food should he buy to minimize cost,and what is the minimum cost?

Answered: Image /qna-images/answer/40e04240-000a-42f7-86b1-1651f9cf36df.jpg

Answered: John wishes to choose a combination of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A patient takes vitamin pills. Each day he must have at least 540 IU of vitamin A, 24 mg of vitamin B,, and 70 mg of vitamin C. He can choose between pill 1, which contains 240 IU of vitamin A, 4 mg of vitamin B,, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 4 mg of vitamin B,, and 20 mg of vitamin C. Pill 1 costs 10¢, and pill 2 costs 30¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy of pill 1 and of pill 2. The minimum cost is $ (Simplify your answers. Type integers or decimals.)
A patient takes vitamin pills. Each day he must have at least 900 IU of vitamin A, 14 mg of vitamin B₁, and 80 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 2 mg of vitamin B₁, and 10 mg of vitamin C, and pill 2, which contains 90 IU of vitamin A, 2 mg of vitamin B₁, and 15 mg of vitamin C. Pill 1 costs 25¢, and pill 2 costs 75¢. Complete parts a and b below. a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy 8 of pill 1 and 0 of pill 2. The minimum cost is $ 2. (Simplify your answers. Type integers or decimals.) b. For the solution in part a, the patient is receiving more than he needs of at least one vitamin. Identify that vitamin, and tell how much surplus he is receiving. mg of vitamin C more than he needs. and He is receiving IU of vitamin A, mg of vitamin B₁, a (Simplify your answers.)
This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food B contains 1 unit/kg of vitamin A and 2 units/kg of vitamin C. It costs ₱50 per kg to purchase Food A and ₱70 per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture
A company makes three components for sale. The components are processed on two machines: a shaper and a grinder. The time required. (in minutes) on each machine are as follows: Component Shaper Time Grinder Time A 6 4 B 4 5 C 4 2 The shaper is available for 7200 min. and grinder for 6600 min. No more than 200 units of component C can be sold, but up to 1000 units of each of the other components can be sold. In fact the company has orders for 600 units of component A that must be satisfied. The profit contributions for components A, B and C are $8, $6 and $9 respectively. Formulate the problem for deciding the production quantities. Solve the problem using Excel Solver. Run the sensitivity analysis report in Excel Solver. What are the objective coefficient ranges (Range of Optimality) for each coefficient. Interpret these. What are the dual prices for each constraint? Interpret these. What are the right-hand side ranges (Range of Feasibility)? Interpret them. If more time is…
During a typical school day, Sally recorded eating the following:For breakfast:½ cup of cooked porridge (made with 200mls of full fat cows milk)2 tablespoons of maple syrup on his porridge250mls of apple drinkSally’s lunch tray consisted of:150g high fat yoghurt Can of Sprite (330mls)Two servings of hotdogs1 apple (which she gives away)½ cup mixed vegetablesBarbecue sauceOn the way home from school Sally drank the following:Gatorade sports drink (500mls)For dinner Sally ate the following:One fillet of fish – battered and deep friedDeep fried fries (equivalent to one medium sized potato)One jam donutChocolate flavoured milk (full fat milk – 250mls)Snack before bed:Ham sandwich (2 slices of white bread and 1 slices of cheese) Q1: How many servings of fruit and vegetables did Sally eat? How many servings of milk and milk products did Sally eat?

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS