Settings X X Mathway X C My folde x A PreCB hc X Bb NJCU Ble X Courses X Course X C 10 Step X Mail - N X C Not Sure X + X C webassign.net/web/Student/Assignment-Responses/submit?dep=27738407&tags=autosave#question4024741_11 Update : 12. [31/43 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER -RAM Inc. manufa s solid-state drives (SSDs) of two Exercise (3) Write the simplex matrix to maximize the daily profit. Step 1 Les * equal the number of 500 GB drives and y equal the number of 1.5 TB drives. Since the profits are $40 f= 40 40 x + 60y. Since the company can make no more than 80 drives per day, the first constrain x+y z +y s 80 abse hours per f. S'Te driveout per day are limited to 150, and it takes 1 labor-hour per 500 GB drive and 3 x + By The next step is to convert the ine ons using slack variables. The first inequality becomes the equation x + y + 5, = 80. The second inequality becomes the equation x + 3y + 52 = 150. -40 x - 50 60 7 + f = 0 - o Step 3 Form the simplex matrix from th the order in which they were presented. Remember to put the coefficients from the objective function in the Exercise (b) Find the maximum profit and the number of each type of drive that will give the maximum profit. Step 1 From part (a), we have that the initial simplex matrix is the following. -40 -60 0 0 1 0 row. Thus, the pivot cole the pivot. The pivot column is the column with the most negative number in the last pivot column. The row that gives us the smallest nomnegative answer when we do th 80/1 = 80 and 150/3 = [50 50 . the pivot row is row 2 2 Thus, the pivot entry is 3 ~ DE Step 2 Since the 3 in row 2 , c to turn this entry into a 1. We can do this by multiplying row 2 by 1/3 1/3 . - 40 - 50 0 0 1 0 38 - B V 1/3 1 0 1/3 0 50 50 40 - 60 0 01 Step 3 Next, we need to use the pivot row to make all other entrie pivot column zero. We can get a zero in row 1 of the pivot column by adding -1 times row 2 to row 1 1 and putting the result in row 1. we can get a zero in row 3 of the pivot column by adding so 60 times row 2 to row 3 and putting the result in row 3 3 Perform the operations - R, + R, - R, and 60R, + Ry - Ry. 108 80 8 1 87. JX 60 20 1 Submit Skip (you cannot come back eed Help? Read It 13. [3/3 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Type here to search O A N 2 4 8 w 68.F Cloudy 3:15 PM 10/31/2021