Chameka Ray Part of understanding linear programming is knowing how to do the algebra to identify the points where you are using all of both items to either maximize profit or minimize loss. So, to give you additional practice with the algebra of linear programming, do the following: Step 1: If your last name ends in A-H, do problem #1. If your last name ends in I-P, do problem #2. If your last name ends in Q-Z, do problem #3. Problem 1 – Use your class notes and textbook to solve for X1and X2: 2x_1+4x_1=80 3x_1+1x_2=60 Problem 2 – Use your class notes and textbook to solve for X1and X2: 2x_1+4x_2=400 100x_1+50x_2=12 Problem 3 – Use your class notes and textbook to solve for X1and X2: 4x_1+6x_2=48 4x_1+2x_2=12 Step 2: Once you have determined the answers for x_1 and x_ 2in each problem,

Part of understanding linear programming is knowing how to do the algebra to identify the points where you are using all of both items to either maximize profit or minimize loss.
So, to give you additional practice with the algebra of linear programming, do the following:
Step 1: If your last name ends in A-H, do problem #1. If your last name ends in I-P, do problem #2. If your last name ends in Q-Z, do problem #3.
Problem 1 – Use your class notes and textbook to solve for X1and X2:
$2x_1+4x_1=80$
$3x_1+1x_2=60$
Problem 2 – Use your class notes and textbook to solve for X1and X2:
$2x_1+4x_2=400$
$100x_1+50x_2=12$
Problem 3 – Use your class notes and textbook to solve for X1and X2:
$4x_1+6x_2=48$
$4x_1+2x_2=12$
Step 2: Once you have determined the answers for $x_1$ and $x_2$in each problem, count how many letters you have in your first and last name. The number of letters in your first name will equal the profit per item for $x_1$ and the number of letters in your last name will be the profit per item for $x_2$.
Then multiply the answer you came up with for $x_1$ by the number of letters in your first name, and then multiply the answer you came up with for $x_2$ by the number of letters in your last name.
Example: Both my first and last name are each 4 characters long. If $x_1$ is 10 and $x_2$ is 15, I would multiply (10*4) = $40 and (15*4) = $60. So, your profit for $x_1$ would be $40 and your profit for $x_2$ would be $60, for a total profit of $100.
Step 3: Answer the following questions:
a. Based on your last name, which problem (1, 2, or 3) did you solve? (value: 10 points)
b. What answer did you get for $x_1$? (value: 20 points)
c. What answer did you get for $x_2$? (value: 20 points)
d. Based on the number of characters in your first name, what profit did you get for $x_1$? (value: 20 points)
e. Based on the number of characters in your last name, what profit did you get for $x_2$? (value: 20 points)
f. What is the sum of your profits for $x_1$ and $x_2$? (value: 10 points)