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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- For the following exercise, find the domain and range of the function below using interval notation. 10+ 9 8 7 6 5 4 3 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 34 5 6 7 8 9 10 -1 -2 Domain: Range: -4 -5 -6 -7- 67% 9 -8 -9 -10-arrow_forward1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through the point (-7, B). a. Determine the value of ẞ. b. Derive an expression to represent the gradient of the tangent line H that is passing through the point (-7. B). c. Hence, derive the straight-line equation of the tangent line H 2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4. a. Derive an expression for the function p(q). b. Determine the stationary point(s) of the function p(q) c. Classify the stationary point(s) from part b. above. d. Identify the local maximum of the function p(q). e. Identify the global minimum for the function p(q). 3. Given that m(q) = -3e-24-169 +9 (-39-7)(-In (30-755 a. State all the possible rules that should be used to differentiate the function m(q). Next to the rule that has been stated, write the expression(s) of the function m(q) for which that rule will be applied. b. Determine the derivative of m(q)arrow_forwardSafari 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_forward
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