Define the variables, determine the constraints and the objective function. Page <of 2+ZOOMUse the following scenario to complete the remaining exercises below.A firm manufactures four types of tents: small, medium, large, and deluxe. Each small tent takes 2 hoursto cut and 4 hours to sew; each medium tent takes 3 hours to cut and 5 hours to sew; each large tenttakes 4 hours to cut and 7 hours to sew; each deluxe tent takes 6 hours to cut and 9 hours to sew. Thereis a total of 310 hours available to cut and 500 hours available to sew the tents. No more than 100 tentsare to be made. How many of each type of tent should be made to maximize profit if the profit is $90 oneach small tent, $50 on each medium tent, $70 on each large tent, and $80 on each deluxe tent?8. Define the variables, determine the constraints and the objective function.9.Add slack variables to each constraint and write the corresponding equation. Also rewrite theobjective function in the appropriate form for use in the initial simplex tableau.10. Set up the initial simplex tableau.------------------

A mathematical statement, which states that two expressions are not equal is called an inequation…

Answered: Use the following scenario to complete…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to make, and the cordless model requires 4 hours. The company has only 800 work hours to use in manufacturing each day, and the packaging department can package only 300 trimmers per day. (a) Write the inequalities that describe the constraints on the number of each type of hedge trimmer produced. (Let x represent the number of cord-type models, and let y represent the number of cordles models.) manufacturing constraint packaging constraint production constraint, cord-type production constraint, cordless (b) Graph the region determined by these constraint inequalities. Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. 400 Fill 300 200 No Solution 100 400 300 200 100 Help WebAssign. Graphing Tool 12:18 PM 21 42% 5/17/2021
A closed box with a square base is to be manufactured. The material for the top of the box costs $2 per square foot and the material for the remainder of the box costs $1 per square foot. If the total cost per box is to be $48, find the dimnesions of the box with the largest volume. Please include the following steps with appropriate work. a. a labeled sketch b. variables defined and labeled on the sketch. c. a constraint equation for the cost d. an objective function (expressing the volume in terms of only one variable) e. the domain of the objective funtion f. a graph of the objective function g. a sentence to answer the question asked
State the rules used for unconstrained (regular) optimization and for constrained optimization.
Read the information below and construct the objective function, and the associated constraint inequalities. DO NOT SOLVE THE MINIMUM PROBLEM. A nutritionist advises an individual who is suffering from iron and vitamin-B deficiency to take at least 1700 milligrams (mg) of iron, at least 2300 mg of vitamin B1 (thiamine), and at least 2000 mg of vitamin B2 (riboflavin) over a period of time. Two vitamin pills, brand A and brand B, are suitable to meet these requirements. Each brand A pill costs $0.07 and contains 80 mg of iron, 60 mg of vitamin B1, and 20 mg of vitamin B2. Each brand B pill costs $0.10 and contains 35 mg of iron, 40 mg of vitamins B1, and 28 mg of vitamin B2. Construct the objective function for minimizing the cost, and construct the associated constraint inequalities by selecting the appropriate symbol or number from the dropdown lists below. Note: The symbol = in the dropdown list indicates "greater than or equal to". C [Select] [Select] 60A+ [Select ] [Select] A…
Set up the objective function and the constraints, but do not solve. Wilson Electronics produces a standard Blu-ray player and a deluxe Blu-ray player. The company has 2800 hours of labor and $19,000 in operating expenses available each week. It takes 7 hours to produce a standard Blu-ray player and 8 hours to produce a deluxe Blu-ray player. Each standard Blu-ray player costs $115, and each deluxe Blu-ray player costs $136. The company is required to produce at least 25 standard Blu-ray players. The company makes a profit of $39 for each standard Blu-ray player and $28 for each deluxe Blu-ray player. How many of each type of Blu-ray player should be produced to maximize profit? (Let x represent the number of standard Blu-ray players, y the number of deluxe Blu-ray players, and z the profit in dollars.) z = , subject to labor operating expense required standard Blu-ray players y ≥ 0
Calculate the minimum value of 8x + 6y subject to the following constraints: x + y ≥ 23 x + 2y ≥ 27 2x + y ≥ 27 x ≥ 0 y≥0
A store store is looking to stock the following: necklaces, bracelets, rings, and earrings. The objective function measuring profit and constraints are given below. Constraint 1 measures display space in units, constraint 2 measurestime to set up the display in minutes. Constraints 3 and 4 are marketing restrictions. Setup an LP program in Tab "#1" and run additional reports (leave reports in your file) in order to answer the following questions.MAX 100X1+120X2+150X3+125X4S.T.1) X1+2X2+2X3+2X4<1082) 3X1+5X2+X4<1203) X1+X3<254) X2+X3+X4>50a. How many necklaces should be stocked?b. Now many bracelets should be stocked?c. How many rings should be stocked?d. How many earrings should be stocked?e. How much space will be left unused?f. How much time will be used?g. By how much will the second marketing restriction be exceeded?h. What is the profit?i. To what value can the profit on necklaces drop before the solution would change?j. By how much can the profit on rings increase…
A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each warehouse holds a maximum of 100 refrigerators. Warehouse A holds 40 refrigerators already, while warehouse B has 15 on hand. It costs $10 to ship a refrigerator to warehouse A and $14 to ship one to warehouse B. How many refrigerators should be shipped to each warehouse to minimize cost? Find the objective function and the constraints for the above problem.
Hey I was Hoping if i could get some help with this question. Identify The variables X and Y: Find the objective Function: Graph The Constraints: Identify The vertices of the feasible region and their value
Mang Hector plans to buy x goats and Y pigs with a budget of 100,000. His farm can keep up to 50 goats and 20 pigs. Each goats costs 500 and each pigs costs 650. 1. Write down all the constraints about x and y. 2. Represent the feasible solutions graphically.
Sp
Explain how the various changes to LP affect the optimal solution. a) Changes to the objective function coefficient b) Changes to the RHS of a constraint

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS