Logo
Home Study Material Contact Search
AI Chat FREE
  1. engineering
  2. mechanical engineering
  3. consider the toyco model given below: toyco primal

Consider the TOYCO model given below: TOYCO Primal: max z=3x1+2x2+5x3 s.t. x1 + 2x2 + x3 ? 430 (Operation...

50.1K

Verified Solution

Question

Mechanical Engineering

Consider the TOYCO model given below:

TOYCO Primal:

max z=3x1+2x2+5x3

s.t.

x1 + 2x2 + x3 ? 430 (Operation 1)

3x1 + 2x3 ? 460 (Operation 2)

x1 + 4x2 ? 420 (Opeartion 3 )

x1, x2, x3 ?0

Optimal tableau is given below:

basicx1x2x3x4x5x6solution
z4001201350
x2-1/4101/2-1/40100
x33/20101/20230
x6200-21120

a) Suppose that TOYCO wants to change the capacities of thethree operations as bT = [460, 500, 400](the new right-hand-sidevector). Use the post optimality analysis to determine the optimumsolution.

b) Suppose that TOYCO adds a fourth operation with the operationtimes of 4, 1, and 2 minutes for product 1, 2, and 3 respectively.Assume that the capacity of the fourth operation is 548 minutes.Determine the new optimal solution for this case.

c) Suppose the objective function is changed to z = 3x1 + 6x2 +x3. If the solution changes, use the post-optimal analysis to findthe new solution.

d) Suppose TOYCO wants to produce toy planes. It requires 3,2,4minutes respectively on operations 1,2, and 3. Determine theoptimal solution when the revenue per unit for toy planes is$10.

Answer & Explanation Solved by verified expert
4.3 Ratings (637 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

2. A 48-year-old known hypertensive man is brought to the hospital with 3day history of fever...

Medical Sciences
Q

Attitude is a very fundamental concept in social psychology. Give a social psychological definition of this...

Psychology
Q

selected find the probability that the person is a man or a heavy smoker Round...

Statistics
Q

Medical research has shown that repeated wrist extension beyond 20 degrees increases the risk of...

Statistics
Q

Erica was using the COMPLETING THE SQUARE method to solve the quadratic equation below 2x...

Algebra
Q

11 Find a curve of form y a bx2 that best fits the data points...

Algebra
Q

Identify what order should be used in corporations for optimal performance and provide support that...

Accounting
Q

Required information [The following information applies to the questions displayed below.] Hickory...

Accounting
Q

1) Each of the following situations involves a possible violation of the rule on independence....

Accounting
Q

decsion? Consider the folowing stanaria: Should Eli Lease er Purchase? purthase the whicle. coit,...

Accounting
Q

Trying to get a statement of cash flow from a certain years transactions?

Accounting
Q

Consider an American call option on a stock. The stock price is $70, the time...

Finance