Set up the initial simplex tableau that could be used to solve the following pro

Question

Set up the initial simplex tableau that could be used to solve the following problem by the simplex method The Fancy Fashions, an independent, local boutique, has $8000 available each month for advertising. Newspaper ads cost $500 each, and no more than 40 can run per month. Internet banner ads cost $25 each, and no more than 70 can run per month. TV ads cost $2000 each, with a maximum of 15 available each month. Approximately 4000 women will see each newspaper ad, 3000 will see each Internet banner, and 11,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize its ad exposure? Let x1 = the number of newspaper ads. Let X2-the number of Internet banner ads. Let x3-the number of TV ads. Complete the initial simplex tableau below X1 X2X3 S1 S2 S3 S4 z 500 100011 1 0 00

Explanation / Answer

Let x1 = number of newspaper ads

Let x2 = number of internet banner ads

Let x3 = number of TV adds

Maximize, z = 4000x1 + 3000x2 + 11000x3

Constraints:

Cost Function: 500x1 + 25x2 + 2000x3 <= 800

Other constraints:

x1 <= 40

x2 <= 70

x3 <= 15

Hence the simplex tableau will be

x1 x2 x3 s1 s2 s3 s4 z 500 25 2000 1 0 0 0 0 8000 1 0 0 0 1 0 0 0 40 0 1 0 0 0 1 0 0 70 0 0 1 0 0 0 1 0 15 -4000 -3000 -11000 0 0 0 0 1 0

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.