Ask Question, Ask an Expert

+61-413 786 465

info@mywordsolution.com

Ask Engineering Mathematics Expert

Problem 1

A graphical representation of a linear program is shown in the attachment. The shaded area represents the feasible region, and the dashed line in the middle is the slope of the objective function.

a) If this is maximization, which extreme point is the optimal solution? Explain your answer.

b) If this is a minimization, which extreme point is the optimal solution? Explain your answer.

c) What would be the new slope of the objective function if multiple optimal solutions occurred along line segment AB? Explain your answer.

d) Assuming this is a maximization problem, by how much can the coefficient of X in the objective function be increased before the optimal solution changes? Explain your answer.

e) Assuming this is a maximization problem, by how much can the coefficient of X in the objective function be reduced before the optimal solution changes? Explain your answer.

Problem 2

Bullseye Shirt Company makes three types of shirts: Athletic, Varsity, and Surfer. The shirts are made from different combinations of cotton and rayon. The cost per yard of cotton is $5 and the cost for rayon is $7. Bullseye can receive up to 4,000 yards of cotton and 3,000 yards of rayon per week.

The table attached shows the relevant manufacturing information.

a) Formulate a linear program to maximize the company's profit and put it in standard format. Clearly define your decisions variables, objective function and constraints.

b) Implement your formulation in Excel and use Solver to find the optimal solution. Provide answers for the optimal amounts of different shirt types.

c) Based on the sensitivity analysis report, by how much can you reduce the price of the Athletic shirts before the optimal solution changes? Justify your answer.

d) In the optimal solution, how much more cotton and rayon would be left, if any?

e) If there is a 50% shortage in cotton and rayon, what impact does this have on your solution? Provide an explanation based on your current solution and not by resolving the problem.

f) If you can secure some free marketing only for one shirt type of your choice to increase its maximum weekly demand, which one would you choose and why?

Engineering Mathematics, Engineering

  • Category:- Engineering Mathematics
  • Reference No.:- M91629618
  • Price:- $30

Priced at Now at $30, Verified Solution

Have any Question?


Related Questions in Engineering Mathematics

Question a suppose that you are given an instance of the

Question : (a) Suppose that you are given an instance of the MST problem on a graph G, with edge weights that are all positive and distinct. Let T be the minimum spanning tree for G returned by Kruskal's algorithm. Now s ...

Numerical analysis assignment -q1 define the following

Numerical Analysis Assignment - Q1. Define the following terms: (i) Truncation error (ii) Round-off error Q2. Show that if f(x) = logx, then the condition number, c(x) = |1/logx|. Hence show that log x is ill-conditioned ...

I have these questions for a homework assignment and have

I have these questions for a homework assignment and have to show work. This works with MIPS coding language and is the class Introduction to Computer Architecture. 1. Find the 2's complement representation (in 32-bit he ...

Assignment -1 let t and or 0 1 be a boolean algebradefine

Assignment - 1. Let (T, ∧, ∨,', 0, 1) be a Boolean Algebra. Define ∗ : T × T → T and o : T × T → T as follows: x ∗ y := (x ∨ y)' x o y := (x ∧ y)' (a) Show, using the laws of Boolean Algebra, how to define x ∗ y using on ...

Math assignment -q1 let fx -x3-cosx and p0 1 use newtons

Math Assignment - Q1. Let f(x) = -x 3 -cos(x), and p 0 = 1. Use Newton's method to find p 2 . Could p0=0 be used? Q2. Perform two iterations by Newton's method and the secant method to each of the following: a. e x + 2 - ...

Question 1 - many spas many componentsconsider 4 types of

Question 1 - Many spas, many components Consider 4 types of spa tub: Aqua-Spa (or FirstSpa, or P1), Hydro-Lux (or SecondSpa, or P2), ThirdSpa (or P3) and FourthSpa (or P4), with the production of products P1, ..., P4 in ...

All these questions should be answered in matlab 1 generate

All these questions should be answered in MATLAB !!! 1. Generate a set of 3 random patterns of dimension 12 where each value is +1 or -1.(3 random 12*12 matrix) 2. Create a 12-unit Hopfield network (a 12x12 matrix) from ...

1 this problem concerns of the proof of the np-completeness

(1) This problem concerns of the proof of the NP-completeness of 300L a) Convert the formula F into a 300L graph b) Find a solution for the 300L instance of F and verify that it is a solution for F F = (Z 1 V Z 2 ) ^ (z ...

Problem 1given a sequence xn for 0lenle3 where x0 1 x1 1

Problem # 1: Given a sequence x(n) for 0≤n≤3, where x(0) = 1, x(1) = 1, x(2) = -1, and x(3) = 0, compute its DFT X(k). (Use DFT formula, don't use MATLAB function) Use inverse DFT and apply it on the Fourier components X ...

Question suppose g is an undirected connected weighted

Question : Suppose G is an undirected, connected, weighted graph such that the edges in G have distinct edge weights. Show that the minimum spanning tree for G is unique.

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

Compute the present value of an 1150 payment made in ten

Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As