
Concept explainers
To calculate: the number of gallons of each type of milk the dairy produce to maximize profits.
179 gallon of skim milk and 21 gallon of whole milk.
Given information:
Diary produces at most 200 gallons of skim and whole milk. Regular customers require at least 15 gallons of skim and 21 gallons of whole milk each day. The profit on a gallon of skim milk is $0.82 and the profit on a gallon of whole milk is $0.75
Formula used:
Optimization with linear programming:-
Step 1. Define the variables.
Step 2. Write a system of inequalities.
Step 3. Graph the system of inequalities.
Step 4. Find the coordinates of the vertices of the feasible region.
Step 5. Write a linear function to be maximized or minimized.
Step 6. Substitute the coordinates of the vertices into the function.
Step 7. Select the greatest or least result. Answer the problem.
Calculation:
Consider,
Let the x be the amount of skim produced.
Let the y be the amount of whole milk produced.
According to the question,
Requirement of customers
The profit is to be maximized. This implies :-
The following shades represent the graph as respective:
This implies the maximum profit is at point
Therefore, 179 gallon of skim milk and 21 gallon of whole milk should be produced to maximize profits.
Chapter 4 Solutions
Algebra 2
Additional Math Textbook Solutions
Algebra and Trigonometry (6th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
College Algebra with Modeling & Visualization (5th Edition)
University Calculus: Early Transcendentals (4th Edition)
Elementary Statistics (13th Edition)
- Safari File Edit View History Bookmarks Window Help Ο Ω OV O mA 0 mW ర Fri Apr 4 1 222 tv A F9 F10 DII 4 F6 F7 F8 7 29 8 00 W E R T Y U S D பட 9 O G H J K E F11 + 11 F12 O P } [arrow_forwardSo confused. Step by step instructions pleasearrow_forwardIn simplest terms, Sketch the graph of the parabola. Then, determine its equation. opens downward, vertex is (- 4, 7), passes through point (0, - 39)arrow_forward
- In simplest way, For each quadratic relation, find the zeros and the maximum or minimum. a) y = x 2 + 16 x + 39 b) y = 5 x2 - 50 x - 120arrow_forwardIn simplest terms and step by step Write each quadratic relation in standard form, then fi nd the zeros. y = - 4( x + 6)2 + 36arrow_forwardIn simplest terms and step by step For each quadratic relation, find the zeros and the maximum or minimum. 1) y = - 2 x2 - 28 x + 64 2) y = 6 x2 + 36 x - 42arrow_forward
- Write each relation in standard form a)y = 5(x + 10)2 + 7 b)y = 9(x - 8)2 - 4arrow_forwardIn simplest form and step by step Write the quadratic relation in standard form, then fi nd the zeros. y = 3(x - 1)2 - 147arrow_forwardStep by step instructions The path of a soccer ball can be modelled by the relation h = - 0.1 d 2 + 0.5 d + 0.6, where h is the ball’s height and d is the horizontal distance from the kicker. a) Find the zeros of the relation.arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





