To Calculate: How many of each type should be prepared in order to maximize profit if a lunch stand makes $0.75 profit on each chef’s salad and $1.20 profit on each Caesar salad. On weekday it sells between 40 and 60 chef’s salads and between 35 and 50 Caesar salads. The total number sold has never exceeded 100 salads.
The maximum 105 occurs if the lunch stand prepares 60 chef’s salads and 50 Caesar salads.
Given information:
A lunch stand makes $0.75 profit on each chef’s salad and $1.20 profit on each Caesar salad. On weekday it sells between 40 and 60 chef’s salads and between 35 and 50 Caesar salads. The total number sold has never exceeded 100 salads.
Calculation:
Consider the given information.
Let x represents the chef’s salads and y represents Caesar salads.
A lunch stand makes $0.75 profit on each chef’s salad and $1.20 profit on each Caesar salad.
On weekday it sells between 40 and 60 chef’s salads and between 35 and 50 Caesar salads.
Thus,
So, the required constrains for the situation is:
Draw the graph as shown below:
The vertices are
The
Determine the value of P at each vertex.
Vertex | |
The maximum 105 occurs if the lunch stand prepares 60 chef’s salads and 50 Caesar salads.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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- 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