RM 1 Q2: Textile Manufacturing ProblemThe Great Threads Company is capable of manufacturing shirts, shorts, pants, skirts, and jackets.Each type of clothing requires that Great Threads have the appropriate type of machineryavailable. Table2 lists the amounts of cloth and labor required per unit of clothing, as well as theselling price and the unit variable cost for each type of clothing. In a given week, 4000 laborhours and 4500 square yards (sq yd) of cloth are available. The company wants to find asolution that maximizes its weekly profit.Unit Laborhour2.01.0ShirtsShortsPants 6.0Skirts 4.0Jackets 8.0Table 2: Data for the Great ThreadsUnit Cloth Selling price Unit variable cost(sq yd)3.02.54.04.55.5$35$40$65$70$110$20$10$2530$352.1 Fill the function or value in the red-bordered area in sheet "Q2 Texile Manufacturing".2.2 Find and state the optimal solution. (hint: we can only manufacture integer number of clothes)2.3 Find out if the resources are binding. Fill the answer (Binding or Non-binding) in the bule areagiven in the sheet.

Decision Variables: Suppose-X1 be the no. of shirts produced each weekX2 be the no. of shorts…

Answered: Q2: Textile Manufacturing Problem The…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter7: Nonlinear Optimization Models

Section: Chapter Questions

Problem 56P

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Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. Is Ben Gibson acting legally? Is he acting ethically? Why or why not?
Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?
Q2 The lower daily needs for workers in a manufacturing organization provided in the below table, each worker works for eight hours, the management needs to determine the lower number of workers to maintain the flow and stability of the work in each shaft. Formulate LP model for this problem and suggest (only suggestion) a method to find the optimal solution Shaft
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 What is the allowable range for the right-hand-side for Resource C?
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 3 0 30 23 17 $C$6 Activity 2 6 0 40 50 10 $D$6 Activity 3 0 –7 20 7 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Resource A 20 7.78 20 10 12.5 $E$3 Resource B 30 6 30 50 10 $E$4 Resource C 18 0 40 1E+30 22 Which parameter is most sensitive to an increase in its value?
6) Nicole has decided to go to school which costs her a total of P19,500 and give upi on a job that paid her P24,900 for the year. But instead, she can hope to earn P29,900 after she graduates. Nicole's opportunity cost amount to?a. P19,500 b. P24,900c. P29,900d. P5,000 7. Villanueva Enterprises reported the ff. information. What is the cost of goods manufactured in February?I. Jan. 2017 -job accumulated cost of P3,000ii. Feb. 2017 -the following costs were added to production: Job 1-P10,000 Job 2-P8,000Job 3-P7,000 III. Feb. 2017 Job 1 was completed and sold for P18,000 Job 2 was completed but not sold Job 3 remains in production b. P8,000c. P10,000 d. P13,000e. P21,000 8. Julie borrowed a certain amount from Diane on June 2016. Two years later, Julle i again borrowed P5,000. Julie decided to pay P1,000 on June 2019 and dischargei her balance by paying P7,500 on June 2021. What was the amount borrowed oni June 2016 if the interest rate is 8% compounded annually?a. P1,389.50 b.…
2. If the projected or forecasted sales of Malinao Bakery for the month of Januaryis 2100 loaves of bread, beginning inventory 50 loaves and the selling price isP50 per loaves. How much are the projected sales in peso of Malinao Bakeryfor January?A. P100,000. C. P107,500.B. P100,500. D. P105,000.
Q1. An LMN sugar mill company, department stores wish to purchase 10,000 handbags of which 2,000 are of style A, 2,000 are of style B, 3,000 of style C and 3,000 are of style D. Four manufacturers P, Q, R and S bid to supply not more than the following quantities, all styles combined. P= 1,500, Q = 2,600, R = 3,500 and S = 3,000. The following table gives the cost per handbag of each style of the bidders in RO. per handbag: Style Manufacturers P Q R S A 9 12 10 8 B 10 11 9 7 C 8 10 7 10 D 10 9 9 8 Use the transportation model to determine how should orders to be placed by the department store to minimize the total cost? Compare transportation cost by both models(NWCR and LCM)
Variable cells Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease $B$6 Activity 1 0 425 500 1E+30 425 $C$6 Activity 2 27.5 0.0 300 500 300 $D$6 Activity 3 0 250 400 1E+30 250 Constraints Cell Name Final Value Shadow Price Constraint R.H. Side Allowable Increase Allowable Decrease $E$2 Benefit A 110 0 60 50 1E+30 $E$3 Benefit B 110 75 110 1E+30 46 $E$4 Benefit C 137.5 0 80 57.5 1E+30 If the coefficient for Activity 1 in the objective function changes to $50, then the objective function value: Multiple Choice will decrease by $450. is $0. will decrease by $2750. will remain the same. can only be discovered by resolving the problem.
Problem 4-11 (Algorithmic) Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity, and no one supplier can meet all the company’s needs. In addition, the suppliers charge different prices for the components. Component price data (in price per unit) are as follows: Supplier Component 1 2 3 1 $11 $12 $13 2 $9 $10 $9 Each supplier has a limited capacity in terms of the total number of components it can supply. However, as long as Edwards provides sufficient advance orders, each supplier can devote its capacity to component 1, component 2, or any combination of the two components, if the total number of units ordered is within its capacity. Supplier capacities are as follows: Supplier 1 2 3 Capacity 500 900 700 If the Edwards production plan for the next period includes 900 units of component 1 and 700 units of component 2, what purchases do you recommend? That is, how many units of each…
19. What combination of x and y will yield the optimum for this problem? Maximize $3x + $15y, subject to (1) 2x + 3y ≤ 12 and (2) 5x + 2y ≤ 10 and (3) x, y ≥ 0. Part 2 A. x = 0, y = 3 B. x = 2, y = 0 C. x = 0, y = 0 D. x = 0, y = 4 E. x = 1, y = 5
4. Ana owns a consulting business that helps software companies market their services to school districts. She earns an average of $4635.7 for every contract one of her client companies signs with her help. In order to be able to run her business, she needs to cover $7,000/month (rent, licenses, etc.). The average costs associated with each contract are $1676.6. How many contracts must she facilitate each month in order to break even? a. 2.37 b. 1.51 c. -2.37 d. -1675.09 e. 10966.14 f. None of the other options.

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