Topic
Matrix Algebra
Sandwich sales. The Fresh Sandwich specializes in chicken, fish, and ham sandwiches. In
April, May, and June 2020, they sold the following quantities.
Sales Volume in Hundreds
Chicken
Fish
Ham
Monthly revenuc, in hundreds, from the sales of these sandwiches
Question #1 (50 points)
Find the price of each type of sandwich.
Learning Outcomes
●
Develop and solve linear and non-linear systems of equations that model
real-world applications and use matrices to solve systems of equations.
Chicken
Fish
Ham
Monthly revenue in hundreds
Question #1 (50 points)
The solution should include:
April
8
Question #2 (50 points)
The solution should include:
11
6
Documented Solution Work Area (100 points)
May
Question #2 (50 points)
The management has decided to hire a new marketing director. Based on the table given and the
prices staying the same, the volume of sales and the revenue show a decreasing trend.
7
The interview process requires the candidate to design a plan that will increase the revenue for the
following year during the first 3 months. Each monthly revenue should increase by $1,000. The price
for each type of sandwich should not be increased by more than one dollar. One candidate offers
the option to increase the sales amounts in hundreds to the values below. Is this an acceptable
option? Will the candidate get the job?
Sales in hundreds
9
8
00
10
6
7
January
June
$164 $141 $86
4
6
3
February
8
9
9
March
6
Documented Solution Requirements (See sections /.2 to practice with solving 3x3 systems of
equations).
8
5
The variables used for each sandwich price. (5 points)
The system of equations created with the values given in the table. (10 points)
The name of the method chosen to solve the system and the step-by-step solution. (30 points)
The final answers stated with the appropriate units. (5 points)
The new values for the monthly revenues. (5 points)
The system of equations created with the values given in the table. (5 points)
The name of the method chosen to solve the system and the step-by-step solution. (20 points)
The final answers stated with the appropriate units. (5 points)
The answers to the following questions:
Is this an acceptable option? Why or why not? Support the answer with an explanation based on the
system solutions. (10 points)
Will the candidate get the job? A Yes or No will be acceptable if it is based on whether the option is
acceptable or not. (5 points)
