To Calculate: How many of each size pizza must be sold in order to maximize the profit if a pizza shop makes $1.50 on each small pizza and $2.15 on each large pizza. On a typical Friday it sells between 70 and 90 small pizzas and between 100 and 140 large pizzas. The shop can make no more than 210 pizzas in a day.
The shop should sell 70 small pizzas and 140 large pizzas to maximize the profit.
Given information:
A pizza shop makes $1.50 on each small pizza and $2.15 on each large pizza. On a typical Friday it sells between 70 and 90 small pizzas and between 100 and 140 large pizzas. The shop can make no more than 210 pizzas in a day.
Calculate:
Consider the given information.
Let x represents the number of small pizzas and y represents the number of large pizzas.
It is given that on Friday shop sells between 70 to 90 small pizzas.
Also, on the same day shop sells between 100 and 140 large pizzas.
The shop can make no more than 210 pizzas in a day.
And the profit is $1.50 on each small pizza and $2.15 on each large pizza.
The required system of equation is:
Now draw the graph as shown below:
Shade the feasible region as shown below:
The vertices are
The
Determine the value of P at each vertex.
Vertex | |
The maximum will be 406 at
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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