Question: Consider the following linear optimization problem: minimize x,y,z subject to x+y+z 2x - 3y + 1.5z > 2 x + 2y -z = 3

Consider the following linear optimization problem: minimize x,y,z subject to x+y+z 2x - 3y + 1.5z > 2 x + 2y -z = 3 1 x 4, 1 z 3. y 1.5, a) Use linprog to solve this problem. Make sure to identify x, y, z*, and obj* = x +y* +y*. b) Which constraints are binding and which constraints are not binding at the optimal solution?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

The accounting records of Champion Company revealed the following costs, among others: Factory insurance $32,000 Raw material used $256,000 Salesmen commission 15,000 Indirect labour 45,000...

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

Consider the following linear program P with two resources and three activities. The resources are in the amounts of 8 and 4 and the activities are represented by the three variables. Maximize Z =...

Consider the following linear programming problem: max x+ y + z subject to 2x + 3y + z > 100 x = 0 select the following that best describes it's solution(s). Unbounded Infeasible Two optimal...

Question 1 (30 points) Consider the following linear optimization problem: Minimize Z= 3x + 4y S.T. (1) 3x + 2y > 1200 (2) x + 2y = 800 (3) x > 2y (4) x, y > 0 (a) Construct a rough sketch to...

Consider the following linear optimization problem: Minimize Z=3x + 4y S.T. (1) 3x +2y > 1200 (2) x + 2y 2y (4) x, y > 0 (a) Construct a rough sketch to represent this problem graphically. On this...

Question 1 (30 points) Consider the following linear optimization problem: Minimize Z = 3x + 4y S.T. (1) 3x + 2y > 1200 (2) x+2y 800 (3) x 2y (4) x, y20 (a) Construct a rough sketch to represent this...

Solve the linear programming problems by drawing the feasible solution region and using the corner point table. 1.1 Maximize: P = 20x + 10y subject to: 3x + y 21 x + y 9 x + 3y 21 x, y 0 1 .2...

S. (-/11.11 Points] DETAILS TANFIN12 4.1.002. Consider the following linear programming problem. Maximize P - 3x + 6y subject to the constraints + 3y s 12 -2x - 3y -18 X 20,0 (a) Write the linear...

Consider the following Linear Programming Problem: Minimize P = 56x + 36x subject to 2x + x 40 x + x 16 x 0, x 0 a) Write the associated dual problem. b) Hence, find the optimal solution of the...

A particle of charge e moves in three dimensions in the presence of a uniform magnetic field and a uniform electric field. A)Write down the equations of motion of the particle, B)Find a complete,...

The $8-billion, 800-mile long Alaskan Pipeline has a capacity of 240,000 m3 of oil per day. It has a standard radius of 60 cm. Find the pressure P' at a point where the pipe has half the standard...

Which security should sell at a greater price? 6 points a . A 1 0 - year Treasury bond with a 5 % coupon rate or a 1 0 - year Treasury bond with a 6 % coupon. 8 0 2 2 9 * 0 8 A 1 0 - year Treasury...

Information for an accrual basis corporation Net income per books (after-tax) $174,100 Federal income tax expense per books $86,600 Tax-exempt interest income $4,500 MACRS depreciation** $7,200...

A cash budget is the projection of a companys cash receipts and disbursements over some future period. It is typically prepared on an annual basis and subdivided into months. However, a more detailed...

You want to launch a business internationally, and you need to choose 3 countries1 in the Middle East, 1 in Asia, and 1 in Latin America. What are some of the components of these cultures that you...

Why is it easier for someone to perpetrate fraud using a journal entry than with a ledger?

Suppose you expect to borrow $50 million on March 18, 2016 at LIBOR + 120bp. You will have to pay back the loan in three months. Today is December 1st. Given the futures prices below, how would you...

Equipment Rental Corporation sells a truck for $ 2 1 , 0 0 0 to Jaime , who owns 8 5 8 5 % of its stock. The truck has a $ 2 8 , 0 0 0 adjusted basis on the sale date. Jaime sells the truck to an...

The Porsche Club of America sponsors driver education events that provide high-performance driving instruction on actual race tracks. Because safety is a primary consideration at such events, many...

The weekly box office revenues (in $ millions) for the summer blockbuster movie are given here. Use these data in the Bass forecasting model given by equations (8.21) through (8.23) to estimate the...

Micromedia offers computer training seminars on a variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting....

Assume that a distributed system is susceptible to server failure. What mechanisms would be required to guarantee the "exactly once" semantics for execution of RPCs?

A commercial bakery' has recorded sales (in dozens) for three products during the last 15 workdays: a. Plot the three time series variables to determine their pattern. b. Forecast workday 16 sales...

a. Calculate daily seasonal relatives for die number of customers served at a restaurant, given the following data. b. Deseasonalize tire data, fit a n appropriate model to the deseasonalized data,...