Question: Consider the following LP model. Max Z=3A + 4B St -A + 2B 8 (1) (2) A + 2B 12 2A + B 16

Consider the following LP model. Max Z = 3A + 4B St -A + 2B 8 A + 2B 12 2A + B 16 A, B0 (1) (2) (3) (a)

Consider the following LP model. Max Z=3A + 4B St -A + 2B 8 (1) (2) A + 2B 12 2A + B 16 A, B0 (3) (a) Solve the problem using the graphical method presented in class. Put A on X-axis. Clearly mark the feasible region and direction of increase/decrease of Z and state what the optimal solution is (value of A, B, Z). (b) Compute the dual price for constraint 1 and 2. Show your work, no marks will be given for simply writing down a number.

Step by Step Solution

★★★★★

3.40 Rating (162 Votes )

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 General Management Questions!

Ford Company's cost of capital is 13%. It has invested x (million dollars) in current assets. The following function represents the shortage cost of its current assets: S = 9 e- x/3 Find the...

Consider the following LP problem: MAX: 4X1 + 2X2 Subject to: 2X1 + 4X2 20 3X1 + 5X2 15 X1, X2 0 a. Use slack variables to rewrite this problem so that all its constraints are equal to...

Consider the following LP problem: MAX: 2X1 + 4X2 Subject to: -X1 + 2X2 8 X1 + 2X2 12 X1 + X2 2 X1, X2 0 a. Use slack variables to rewrite this problem so that all its constraints are equal to...

make a scenario for each of the following Gesture communication Facial expression communication Oral communication Written communication discuss briefly each scenario

Q3. All parts in this question are to be solved graphically and not with LINGO. For parts b, c and d, you must show your work, no marks will be given for simply providing the answer. Consider the...

Given the linear program Max 3 A + 4 B s.t. -1 A + 2 B 8 1 A + 2 B 12 2A + 1 B 16 A , B 0 Write the problem in standard form. Solve the problem using the graphical solution procedure. What are the...

Consider the following linear program. Max 3A + 4B s.t. 1A + 2B 7 1A + 2B 10 2A + 1B 12 A, B 0 (b) Solve the problem using the graphical solution procedure. (A,B) = ( ) (c) What are the values of the...

Consider the linear program: Max 3 A + 4 B s.t. - A + 2 B 8 (1) A + 2 B 12 (2) 2 A + B 16 (3) A , B 0 Write the problem in standard form. For those boxes in which you must enter subtractive or...

Consider the following linear program. Max 3A + 4B s.t. -14 + 28 52 1A + 2B S 13 2A + 18 516 A,B 20 (a) Write the problem in standard form. Max 3A + 48 + 1)s +(( 1)s:( s.t. -1A + 2B + 1A + 2B + = 13...

LP Maximization Sensitivity ( 1 5 points ) . Recall the following linear program from Question 1 on Homework # 3 : max 3 A + 4 B s . t . A + 2 B 8 Constraint 1 A + 2 B 1 2 Constraint 2 2 A + B 1 6...

U.S. Steal has the following income statement data: Units Sold Total Variable Costs Fixed Costs Total Costs Total Revenue Operating Income (Loss) 135,000 $ 270,000 $ 140,000 $ 410,000 $ 945,000 $...

Q2. Apply PA = LU to determine the following matrix A is nonsingular and find A-1: [1 2 -1] A = 2 |2 -1 4

Question signment Part 1 of 2 Completed: 1 2 of 1 5 | My score: 3 9 / 5 0 pts ( 7 8 % ) ( Related to Checkpoint 5 . 4 ) ( Comparing present and future values ) You are offered $ 1 1 0 , 0 0 0 today...

A 5kV/ 250V, 50HZ single phase core type transformer with maximum X 7lux in the core is 0.05wb. The number of turns in the primary winding is

The single-phase half-bridge inverter has a resistive load of R=2.4 and thc dc input voltage is Vs =48V. Determine (a) the rms output voltage at the fundamental frequency V 01 .(b) the output power...

What were some early warning signs that signaled things were not going well with the City-Time project?

A single phase 250 V/500 V transformer gave the following results: Open Circuit Test: 250 V, 1 A, 80 W on LV side. Short Circuit Test: 20 V, 12 A, 100 Won HV side. Calculate the circuit constants and...

A single-phase transformer has 480 turns on the primary and 90 turns on the secondary. The mean length of the flux path in the iron core is 1.8 m and the joints in the magnetic circuit are equivalent...

Lines and Functions Finding slope given the graph of a line on a grid

For each of the following situations, indicate whether the taxpayer(s) is (are) required to file a tax return for 2012. Explain your answer. a. Helen is a single taxpayer with interest income in 2012...

In June of 2012, Maureen's house is vandalized during a long-term power failure after a hurricane hit the city. The president of the United States declares Maureen's city a disaster area as a result...

For each of the following cases, indicate the filing status for the taxpayer(s) for 2012 using the following legend: A - Single B - Married, filing a joint return C - Married, filing separate returns...

According to Sternberg, a couple whose love is based on intimacy and passion but who are not yet committed to a long-term relationship are in the form of love called _____________ love. a....

Which of the following would the field of social neuroscience be most likely to study? a. what parts of the brain influence social behavior b. how influential heredity is on social behavior c. what...

Evaluate the influence of Freudian theory on modern personality theories.