Suppose a company manufactures three products: Product A, Product B and Product C. The company wants...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Suppose a company manufactures three products: Product A, Product B and Product C. The company wants to maximize its profit while adhering to certain constraints. The profit per unit for Product A is $10, for Product B, it's $15, and for Product C it is $17. The company has limited resources for production and distribution, which are as follows: • The company has X hours of labor available per week. It takes 2 hours to make one A, 3 hours to make one B, and 3.5 hours to make one C. (Each student has a different X value!) • Available raw materials are only enough for 500 units of A, 600 units of B, and 450 units of Product C. • The warehouse can store a maximum of 750 units of products, so the total number of products cannot exceed this limit. • The weekly demand for Product A is 100 units. It is 150 units for Product B and 120 units for Product C. Production numbers for each product are integers, you cannot produce half a product. • Based on the given constraints, create an integer programming problem to find the number of products to be produced weekly to maximize the company's weekly profit. Open a blank R Script file and do the following using the IpSolve package: 1. Define the objective function. 2. Define the constraints matrix. 3. Define the vector for the directions of the constraints. 4. Define the vector for the right-hand-side values of the constraints. 5. Define the integer vector. 6. Run the Ip() function to find the maximum profit (.objval), and the necessary production values to achieve the maximum profit (.solution). Grading rubric: Questions 1 to 5 → 0.7 pts each. Question 61.5 pts. X Values: Student ID X value A00650003 1200 A00627377 1230 A00630480 1260 A00636125 1290 A00632344 1320 Student ID X value A00646068 1350 A00649516 1380 A00662740 1410 A00644770 1440 A00644331 1470 Student ID A00653105 1500 A00404040 1530 A00642816 1560 A00632486 1590 A00636685 1600 X value Suppose a company manufactures three products: Product A, Product B and Product C. The company wants to maximize its profit while adhering to certain constraints. The profit per unit for Product A is $10, for Product B, it's $15, and for Product C it is $17. The company has limited resources for production and distribution, which are as follows: • The company has X hours of labor available per week. It takes 2 hours to make one A, 3 hours to make one B, and 3.5 hours to make one C. (Each student has a different X value!) • Available raw materials are only enough for 500 units of A, 600 units of B, and 450 units of Product C. • The warehouse can store a maximum of 750 units of products, so the total number of products cannot exceed this limit. • The weekly demand for Product A is 100 units. It is 150 units for Product B and 120 units for Product C. Production numbers for each product are integers, you cannot produce half a product. • Based on the given constraints, create an integer programming problem to find the number of products to be produced weekly to maximize the company's weekly profit. Open a blank R Script file and do the following using the IpSolve package: 1. Define the objective function. 2. Define the constraints matrix. 3. Define the vector for the directions of the constraints. 4. Define the vector for the right-hand-side values of the constraints. 5. Define the integer vector. 6. Run the Ip() function to find the maximum profit (.objval), and the necessary production values to achieve the maximum profit (.solution). Grading rubric: Questions 1 to 5 → 0.7 pts each. Question 61.5 pts. X Values: Student ID X value A00650003 1200 A00627377 1230 A00630480 1260 A00636125 1290 A00632344 1320 Student ID X value A00646068 1350 A00649516 1380 A00662740 1410 A00644770 1440 A00644331 1470 Student ID A00653105 1500 A00404040 1530 A00642816 1560 A00632486 1590 A00636685 1600 X value
Expert Answer:
Answer rating: 100% (QA)
It appears that you want to formulate and solve an integer programming problem for maximizing the we... View the full answer
Related Book For
Operations Management An Integrated Approach
ISBN: 9781119497387
7th Edition
Authors: R. Dan Reid, Nada R. Sanders
Posted Date:
Students also viewed these programming questions
-
You are an aggressive investor. The information for the bonds (with face value of $1,000) available on the market is as follows: Zero-coupon bond with 25 years left to maturity 8%, 25-year bond with...
-
Mr. Vinayak is working as Chief Personnel Officer in Bank of Maharashtra. The following are the particulars of his income : Basic salary Rs.25000 p.m DA Rs.4000 p.m Special Executive allowance -...
-
1. The quantity of organically bound nitrogen (org-N) released by acid digestion is referred to as Kjeldahl nitrogen. One method used to determine the Kjeldahl nitrogen content involves a back...
-
The table lists the actual annual cost y to drive a midsize car 15,000 miles per year for selected years X. (a) Predict whether the correlation coefficient is positive, negative, or zero. (b) Find a...
-
When you look through a window, by how much time is the light you see delayed by having to go through glass instead of air? Make an order-of-magnitude estimate on the basis of data you specify. By...
-
Tatanach Beverage Company produces a soft drink with a fruit juice base. Fruit is mashed into a juice in the Mashing Department. The juice is then transferred to the Blending Department, where it is...
-
Draw an ogive for the frequency distribution in Example 2. Data from Example 2 Using the frequency distribution constructed in Example 1, find the midpoint, relative frequency, and cumulative...
-
The following information was drawn from the accounting records of Wyckoff Company as of December 31, 2016, before the temporary accounts had been closed. The Cash balance was $3,600, and Notes...
-
Suppose that lenders want to receive a real rate of interest of 6%, and that they expect inflation to remain steady at 3% in the coming years. Based on this, lenders should charge a nominal interest...
-
The controller of Bridgeport Housewares Inc. instructs you to prepare a monthly cash budget for the next three months. You are presented with the following budget information: The company expects to...
-
The Self-Reflection Essay will reflect upon your experiences at your employment site during this internship course and what you have learned. Include how these experiences may have furthered your...
-
because the imbalance shifts the equilibrium reacting to c) What is the color of BTB in a solution produced by bubbling ammonia through water? Explain
-
If unions are to be successful in obtaining wage rate increases for their members,they must be able to cause a shift in either the labour demand curve or the labour supply curve or both.? Explain how...
-
An animal farm operator is considering the addition of an anaerobic digestion facility to its operations. The biogas produced from this facility is expected to significantly reduce its green house...
-
From an employer perspective, identify similarities in terms of how management responded to the concerns of employees.
-
Suppose 9 moles of an ideal monatomic gas at -6C is warmed at constant volume by 42 C. Calculate the change in entropy of the gas. 18.556 16.3983 margin of error +/- 1% + Z JEREMON 0/10 pts C
-
The projected growth rate for a rapidly growing German company is 10% for the next two years and 7% for the two years following that. At the end of 4 years, the growth rate will expectantly settle at...
-
Currently, there are five concepts of food stands, including: hot dogs, soft pretzels, turkey legs, sandwich wraps, and funnel cakes. This approach will double the existing number of food stands...
-
A lumber mill in Virginia, Hawthorne and Sons (H&S), produces rough-cut boards and then runs the boards through a sequence of machines to create green (uncured) lumber of different dimensions....
-
Describe the use of the Internet as a means to exchange information and explain how CII could benefit from using the internet.
-
1. Explain the challenge Elizabeth faced in meeting her capacity needs. What should she have considered before moving into the larger facility? 2. What is wrong with the proposal made by the team of...
-
Explain the role of robotics and smart factories in manufacturing, services, and supply chains.
-
What is CAD/CAE? Provide one nontextbook example.
-
Research and write a short onetwo page paper on recent advances in robotics and their applications.
Study smarter with the SolutionInn App