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Levart [38]
2 years ago
11

Consider the following five constraints x1 + 2x2 ≤ 3, x1 − x2 ≥ 0, 2x1 + x2 ≤ 3, x1 + 5x2 ≤ 6, x1 − 2x2 ≥ −1. (a) Sketch the fea

sible region and find the degenerate vertex x0. (b) How many possible working sets are there at x0? (c) Suppose that we wish to minimize x1 + x2 subject to these constraints, starting at x0 and using the simplex method. Find a working set A0 for which the Lagrange multiplier vector λ (the solution of AT 0 λ = c) contains at least one negative component λs, but the simplex search direction satisfying A0p = es is not a feasible descent direction. Draw a picture showing p emanating from x0. What are the blocking constraints? (d) Under the same conditions as in part (c), find a working set A¯ 0 for which the Lagrange multiplier vector contains at least one negative component, but the associated search direction ¯p is a feasible descent direction. Draw a picture showing ¯p emanating from x0. (e) Can you find a feasible descent direction at x0 if we wish instead to minimize −x1 − x2? Explain your answer.
Business
1 answer:
chubhunter [2.5K]2 years ago
6 0

Answer:

Answer for the question:

Consider the following five constraints x1 + 2x2 ≤ 3, x1 − x2 ≥ 0, 2x1 + x2 ≤ 3, x1 + 5x2 ≤ 6, x1 − 2x2 ≥ −1. (a) Sketch the feasible region and find the degenerate vertex x0. (b) How many possible working sets are there at x0? (c) Suppose that we wish to minimize x1 + x2 subject to these constraints, starting at x0 and using the simplex method. Find a working set A0 for which the Lagrange multiplier vector λ (the solution of AT 0 λ = c) contains at least one negative component λs, but the simplex search direction satisfying A0p = es is not a feasible descent direction. Draw a picture showing p emanating from x0. What are the blocking constraints? (d) Under the same conditions as in part (c), find a working set A¯ 0 for which the Lagrange multiplier vector contains at least one negative component, but the associated search direction ¯p is a feasible descent direction. Draw a picture showing ¯p emanating from x0. (e) Can you find a feasible descent direction at x0 if we wish instead to minimize −x1 − x2? Explain your answer.

is given in the attachment.

Explanation:

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Ostrovityanka [42]

The meaning of making "difficult choices" when creating a federal budget is: D. deciding what will be funded and what will be cut.

<h3>What is a federal budget?</h3>

A federal budget refers to a financial plan that is typically used by the government for the estimation of the revenue (taxation) and expenditures (spending) of a country over a specified period of time, which is often one year.

This ultimately implies that, making "difficult choices" when creating a federal budget simply means to decide what will be funded by the government and what will be cut from the budget.

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5 0
2 years ago
Which of the following is not a function of prices in a market system? Group of answer choices Prices send signals to buyers and
Sedaia [141]

Answer:

Prices ensure an equal distribution of goods and services among consumers.

Explanation:

The price mechanism helps in the efficient allocation of resources. There are a number of functions performed by the price mechanism. Prices send signals regarding resources. An increase and decrease in prices reflect surplus and deficit.  

Price balances the demand and supply of a product. Price is inversely related to demand and positively related to the supply of a product. It is determined by the interaction of demand and supply and helps in balancing supply and demand.  

For instance, an increase in demand would increase the price, this higher price will motivate the suppliers to increase quantity supplied thus balancing demand and supply.  

Price helps in coordinating economic activities and helps buyers and sellers in decision making. However, they do not help in equal distribution of goods and services among consumers.

6 0
3 years ago
Which of the following is true about a sole proprietorship?
Alex73 [517]
The right answer for the question that is being asked and shown above is that:  "d. A sole proprietorship has a life of its own apart from its owner." It is considered as the simplest business form where one can operate. It is not a legal entity in itself.
7 0
3 years ago
XYZ DebenturesIssue Date: 8-1-XXPayment Dates: J 1 &amp; J 1Maturity Date: 7-1-XXSome years after issuance, a customer buys 10 d
SashulF [63]

Answer:

B. 105 days of accrued interest

Explanation:

The purchase on Thursday, October 12th will settle on Monday, October 16th - 2 business days after trade date.  

Accrued interest on corporate bonds is based on a 30days per month/360 day year.

And interest starts accruing from the day of the last interest payment, up to, but not including, settlement.

See below for day calculation

July   30 days

August  30 days

September 30 days

October  15 days (up to but excluding settlement)

Total  105 days

4 0
3 years ago
Your typical markup for merchandise is 36%. Your cost on an item is $11.00. Calculate the selling price.
wolverine [178]

Answer:

$7.04

Explanation:

$11/10=$1.1 x 3= $3.30

$1.1/10=$0.11 x 6=$0.66

$3.30+$0.66=$3.96

$11-$3.96=$7.04

8 0
3 years ago
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