Question

The manager of a construction project has formulated this LP model: maximize Z= 25x1 +30x1 subject...

The manager of a construction project has formulated this LP model:

maximize Z= 25x1 +30x1

subject to

time 20x1 +15x2 < 1,200 hours

materials 8x1 +12x2 <600 tons

x1, x2> 0

a. Graph the model

b. determine the optimal values of the decision variables using the objective function approach. what is the maximum profit?

8. for the previous problem, use the extreme point approach to determine the optimal solution

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
solve the following model graphically: maximize 2x1 +7x2 subject to: 9x1 +7x2 ≤ 63 5x1 +8x2...
solve the following model graphically: maximize 2x1 +7x2 subject to: 9x1 +7x2 ≤ 63 5x1 +8x2 ≤ 40 9x1 −15x2 ≥ 0 x1 ≥ 3 x2 ≤ 4 x1, x2 ≥ 0 Take care to identify and label the feasible region, feasible points, optimal isovalue line and use algebra to determine the optimal solution.
The following is the mathematical model of a linear programming problem for profit: Maximize subject to...
The following is the mathematical model of a linear programming problem for profit: Maximize subject to Z = 2X1 + 3X2 4X1+9X2 ≤ 72 10X1 + 11X2 ≤ 110 17X1 + 9X2 ≤ 153 X1 , X2 ≥ 0 The constraint lines have been graphed below along with one example profit line (dashed). The decision variable X1 is used as the X axis of the graph. Use this information for questions 19 through 23. A). Which of the following gives...
Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given...
Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximize contribution = 5X1 + 4X2 + 3X3 Subject to: 1X1 + 7X2 + 4X3 <= 90 (hours on machine 1) 2X1 + 1X2 + 7X3 <= 96 (hours on machine 2) 8X1 + 4X2 + 1X3 <= 90 (hours on machine 3) X1, X2, X3 >=0 (a) Determine the optimal solution using LP software. the optimal achieved is...
Ahmadi, Inc. manufactures laptop and desktop computers. In the upcoming production period, Ahmadi needs to decide...
Ahmadi, Inc. manufactures laptop and desktop computers. In the upcoming production period, Ahmadi needs to decide how many of each type of computers should be produced to maximize profit. Each computer goes through two production processes. Process I, involves assembling the circuit boards and process II is the installation of the circuit boards into the casing. Each laptop requires 24 minutes of process I time and 16 minutes of process II time. Each desktop requires 8 minutes of process I...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT