Question: Find the optimal value for the linear programming problem. Maximize the objective function 7x + 4y subject to the constraints 3x + 2y < 36

Find the optimal value for the linear programming problem.

Maximize the objective function 7x + 4y subject to the constraints

3x + 2y < 36 x + 4y < 32 x 0,

3x + 2y < 36 x + 4y < 32 x 0, y 20

Step by Step Solution

★★★★★

3.36 Rating (177 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

This is a standard linear programming problem We can use the simplex method or the graphical method ... View full answer

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 Finite Mathematics And Its Applications Questions!

Q:

Maximize the objective function 7x + 4y subject to the constraints + 2 0

Q:

Find the optimal value for the linear programming problem. Maximize the objective function 2x + 5y subject to the constraints x + 2y 20 3x + 2y 2 24 x6 x 0, y 0

Q:

Find the optimal value for the linear programming problem. Minimize the objective function 3x + 4y subject to the constraints 2x + y 2 10 x + 2y 14 x 0, y 20

Q:

Consider the following linear programming problem: Maximize 5X + 7Y Subject to: 2X + Y 600 3X + 2Y 720 all variable 0 The feasible corner points are (0,40), (20,0), (10,20), (20,10). What is the...

Q:

2a) Given the following linear programming problem: Maximize 3X + 4Y Subject to 3X + 3Y 30 X + 2Y 16 X, Y 0 (i) Sketch the graph to assess the feasible region. (6 marks) (ii) Identify the corner...

Q:

a) Find the corners of the solution set to the following linear programming problem: P = 6x + 3y Subject to 2x + 4y 16 3x + 2y 12 X 0 , y 0 b) Identify the optimal solution c) Find the range of...

Q:

Find the complete optimal solution to this linear programming problem. Min 3X + 4Y s.t. 12X + 4Y > 48 4X + 8Y > 32 X, Y > 0 a. Graph to show each constraint and the feasible region. Provide graph on...

Q:

QUESTION 1 The following is a linear Programming problem: Maximize AZ-65X +58 y subject to the constraints: x+y = 32 3x + 2y 0, y20 Solve the problem graphically and calculate the Z value of at the...

Q:

14) Consider the following linear programming problem: Maximize 4X + 10Y Subject to: 3X + 4Y = 480 4X + 2Y = 360 all variables 0 The feasible corner points are (48,84), (0,120), (0,0), (90,0). What...

Q:

4 it is evident that the maximum number of units of the final product cannot exceed the smaller value of f7 6x; + 5x + 7x3 4x7 + 8x2 + 3x3 and 5 4 Thus the objective is to maximize Z = Minimum of...

Q:

a. If the one-year discount factor is .88, what is the one-year interest rate? b. If the two-year interest rate is 10.5 percent, what is the two-year discount factor? c. Given these one- and two-year...

Q:

Crafts Galore, a distributor of handmade gifts, operates out of owner Jenny Finns house. At the end of the current period, Jenny reports she has 1,500 units (products) in her basement, 30 of which...

Q:

Which of the following currencies is like to be the funding currency in a carry trade: Australian dollars when the interest rate in Australia is high Mexican Peso during a presidential election US...

Q:

Burger Master bought the food concession for a baseball stadium for five years at a price of $1.2 million. If the operating profit is $400,000 per year, what IRR will Burger Master realize on its...

Q:

Suppose that a constraint is added to a cost minimization problem. Is it possible for the new optimal cost to be greater than the original optimal cost? Is it possible for the new optimal cost to be...

Q:

Suppose that a constraint is removed from a profit maximization problem. Is it possible for the new optimal profit to be greater than the original optimal profit? Is it possible for the new optimal...

Q:

1. Explain why a linear programming problem will always have a solution if the feasible set is bounded. 2. Suppose that the maximum value of an objective function occurs at two vertices. Explain why...

Q:

4.1 The Timeline Use the figure for the question (s) below. Date 2 $5000 $5000 $0 Cash flow 5) Which of the following statements regarding the timeline is FALSE? A) Date 1 is one year from now. B)...

Q:

pls show formulas Comment on the overall health of JW Airlines. Would you want to invest in this company, explain your answer? (9) Select destination and press ENTER or choose Paste Select...

Q:

You run a nail salon. Fixed monthly cost is $5,365.00 for rent and utilities, $5,990.00 is spent in salaries and $1,545.00 in insurance. Also every customer requires approximately $3.00 in supplies....