Write the correct mathematical models for the objective functions and constraints ParagraphStylestatingNAME: DANA C. LIGONCOURSE AND SECTION: BSA-ZA22. A small-scale industry manufactures two kinds of thermos bottles; standard air potand electric air pot. Components of these two thermoses are processed by two differentmachines, A and B. During the scheduling period, the production head found out thatthere are 20 hours of machine A time available and 35 hours of machine B. to completeone unit of the standard model needs 1 hour on machine A and I hour on machine B,while it takes two hours on B to complete one unit of the electric model. The companycan sell all the units it can produce per production period at a profit of P30 per standardmodel and P70 per electric model. If the company's objective is to maximize profit, howmany units of each model should be produced and sold by the company?1.

Please refer to the image below

Answered: correct mathematical models for the…

Math

Algebra

correct mathematical models for the objective functions and constraints

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: Home Furnishings has contracted to make at least 220 sofas per week, which are to be shipped to two…

Q: Read the information below and construct the objective function, and the associated constraint…

Q: Admission is $12.00 for adults and $6.00 for students. However, this situation has two…

Q: Decision Variables: x1 = Variety, x2 = Bakery Supplies Objective Function: Maximize Z =…

A: The given linear programming problem, max Z=18000x1+315000x2 Subject to the constraints,…

Q: What is Redundant constraint?

A: Redundant constraint: A set of linear constraints is used to generate a feasible area but doesn’t…

Q: Set up the objective function and the constraints, but do not solve. Jack has a casserole and salad…

Q: A decision problem has the following three constraints: 37X + 26Y <= 962; 18X + 20Y= 360; and 1X -Y…

A: Feasible solution region is obtained by intersection of all the constraints. Common region to all…

Q: A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each…

A: Let be the number of refrigerators must ship to warehouse A and warehouse B.Since Warehouse A holds…

Q: Variable Cells Objective Allowable Coefficient Increase Reduced Allowable Decrease 12 0.628571429…

A: a) Objective function is: Max 12X1+8X2+10X3+6X4…

Q: Why is optimization important in programming?

Q: help please answer in text form with proper workings and explanation for each and every part and…

A: The Theory of Constraints (TOC) is a methodology for improving processes that focuses on identifying…

Q: Battech manufactures generators and alternators, both require wiring and testing during assembly.…

Q: Determine the number of slack variables and name them. Then use the slack variables to convert each…

Q: Product Blend Example • Petroleum Mix Inputs Maximum Barrels Available/Day 4,500 2,700 3,500…

Q: Give an example of Duality in Linear Programming that is connected to business environment. provide…

A: The Duality in Linear Programming states that every linear programming problem has another linear…

Q: Example: Formulation of Objective and Constraints Giapetto's Woodcarving, Ic., manufactures two…

A: Given Information: Two toys are made one is soldier and other is train. A soldier is sold for $27…

Q: A theater is presenting a program on drinking and driving for students and their parents or other…

A: A theater is presenting a program on drinking and driving for students and their parents or other…

Q: A B C D 1 Assembly line MPV City car 2 A 10 5 10 B 6 20 10 4 C 8 15 10 Profit 200 300 3.

A: We have to solve the above problem using the graphical method.

Q: (ii) The inequation for constraint 4 can be written as <25. All constraints are shown on the graph…

A: a) i) x+y>=30 ii) y<=25

Q: Formulate the LP problem, which includes the objective function and the constraints. Then solve. Use…

A: Given data Hours Table Chair optimality Carpentry time 4 3 240 Painting time 2 1 100…

Q: What is a possible constraint of a research plan?

A: Introduction: The word constraint can be defined as a restriction or limitation of some sort, in a…

Q: Assume that you are an employee in a Pizza Bakery and are given a list of ingredients that can be…

Q: What are the difficulties faced in determining an LP’s objective function and constraints?

A: Linear Programming is used to determine the maximum and minimum values of objective function…

Q: Use the given information to write canstraints and a profit function. You do not need to graph the…

Q: You have a fixed amount of window trim for a particular window. The window is a rectangle with a…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: San Pascual produces two products, Tory and Burch. Tory requires two hours grating and four hours…

A: A linear programming problem in two variable can be solved using graphical method. First assign…

Q: Shop A provides 2 hours of cake training, 4 hours of cupcake training and 2 hours of bread training.…

A: To solve this problem, we can use linear programming. First, let's construct a table showing the…

Q: Shop A provides 2 hours of cake training, 4 hours of cupcake training and 2 hours of bread training.…

A: To solve this problem, we can use linear programming. First, let's construct a table showing the…

Q: Read the information below and construct the objective function, and the associated constraint…

Q: Explain the effects of imposing a constraint in an optimization problem. Give at least one economic…

A: Effect of imposing a constraint in an optimization problem with one economic example.

Q: Writer resource constraints for this situation: A small stereo manufacturer makes a receiver and a…

A: Let x units of receiver and y units of CD player be produced.

Q: A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each…

A: Solution :-

Q: subject to the constraints 8x – 11y < 12, 3x + 10y < 61, 11x – y 2 -40 Find the maximum value of the…

A: The following steps are used to find the solution of the linear programming problem by graphical…

Q: A bookstore places orders books and then distributes them to its individual bookstores. It plans to…

A: Given information: The data represents frequency distribution of demand.

Question

Write the correct mathematical models for the objective functions and constraints

Paragraph
Styles
tating
NAME: DANA C. LIGON
COURSE AND SECTION: BSA-ZA
22. A small-scale industry manufactures two kinds of thermos bottles; standard air pot
and electric air pot. Components of these two thermoses are processed by two different
machines, A and B. During the scheduling period, the production head found out that
there are 20 hours of machine A time available and 35 hours of machine B. to complete
one unit of the standard model needs 1 hour on machine A and I hour on machine B,
while it takes two hours on B to complete one unit of the electric model. The company
can sell all the units it can produce per production period at a profit of P30 per standard
model and P70 per electric model. If the company's objective is to maximize profit, how
many units of each model should be produced and sold by the company?
1.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

WHAT OBJECTIVE/CONSTRAINTS DO YOU PUT INTO SOLVER?
Does the average person really need to deal with the complexities of dynamic programming?
What are Equality Constraints?
Part1)An airplane carries water and medical kits to survivors of a natural disaster. The plane can carry a maximum payload of 80,000 pounds. Each container of water weighs 20 pounds, and each medical kit weighs 10 pounds.The cargo space holds a maximum of 6000 cubic feet of cargo. Graph these constraints on the grid provided, and write some units on the axes. Assume each container has a volume of 1 cubic foot. Part2)If each container of water serves 10 people and each medical kit aids 6 people, find the number of water containers and medical kits that could help the most people
A manufacturer of skis produces two models: a regular ski and a slalom ski. A set of regular skis produces a $25 profit and a set of slalom skis produces a profit of $50. The manufacturer expects a customer demand of at least 200 pairs of regular skis and at least 80 pairs of slalom skis. The maximum number of pairs of skis that can be produced by this
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
I need explaination and spreadsheet with formulas and step to step interpretation please.....The attached are first two pages of required assisance and below is the rest of instructions please consider all of them:c. Suppose the CEO says, “Projects 3 and 4 must be undertaken but not both.”Describe the constraint.d. Suppose the CEO says, “Projects 4 cannot be undertaken unless projects 1 and 3also are both undertaken.” Describe the constraints. Hint: You may need to add more than one constraint for this part.3. [45pts] Multi-product Production Planning. Hart Manufacturing makes three products. Each product requires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by department, are as follows:Department Product 1 Product 2 Product 3A 1.50 3.00 2.00B 2.00 1.00 2.50C 0.25 0.25 0.25During the next production period, the labor-hours…
Find the solution set for the constraints in the figure below.* 3x + 2y 55 2x + 5y s6 3x -y s1 x 20, y 20 O E
Define the variables, determine the constraints and the objective function.