Real World Quadratic Problems
Real World Quadratic Functions
Read the following instructions in order to complete this assignment:
1. Solve problem 56 on pages 666-667 of Elementary and Intermediate Algebra.
2. Write a two to three page paper that is formatted in APA style and according to the Math Writing
Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay, please make sure to include: o An explanation of the basic shape and location of the graph and what it tells us about the
Profit function. o Your solutions (it is a double question) to the above problem, making sure to include all mathematical work for both problems. o Discuss how and why this is important for managers to know, and explain what …show more content…
Real World Quadratic Functions
Solving real world quadratic problems is mandatory for business professionals and managers. Profit functions routinely show up in their work tasks and these professionals must know how to look at and interpret such things. Profit functions can come in many forms and this paper will seek to describe the quadratic type.
Question number 56 on page 667 states the problem, “A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function � = −25�! + 300�. What number of clerks will maximize the profit, and what is the maximum possible profit?”
So in this problem the store manager is to find the maximum profit P using the number of clerks x.Since it is a quadratic function then it has the shape of a parabola, and since the value of a is negative, then it is a parabola opening downwards. This implies there must be a maximum as a parabola opening downwards has a highest point. Furthermore, since the graph is located in the first quadrant, then it has a maximum somewhere in this
Read the following instructions in order to complete this assignment:
1. Solve problem 56 on pages 666-667 of Elementary and Intermediate Algebra.
2. Write a two to three page paper that is formatted in APA style and according to the Math Writing
Guide. Format your math work as shown in the example and be concise in your reasoning. In the body of your essay, please make sure to include: o An explanation of the basic shape and location of the graph and what it tells us about the
Profit function. o Your solutions (it is a double question) to the above problem, making sure to include all mathematical work for both problems. o Discuss how and why this is important for managers to know, and explain what …show more content…
Real World Quadratic Functions
Solving real world quadratic problems is mandatory for business professionals and managers. Profit functions routinely show up in their work tasks and these professionals must know how to look at and interpret such things. Profit functions can come in many forms and this paper will seek to describe the quadratic type.
Question number 56 on page 667 states the problem, “A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function � = −25�! + 300�. What number of clerks will maximize the profit, and what is the maximum possible profit?”
So in this problem the store manager is to find the maximum profit P using the number of clerks x.Since it is a quadratic function then it has the shape of a parabola, and since the value of a is negative, then it is a parabola opening downwards. This implies there must be a maximum as a parabola opening downwards has a highest point. Furthermore, since the graph is located in the first quadrant, then it has a maximum somewhere in this