Two recent graduates have decided to enter the field of microcomputers. They intend tomanufacture two types of microcomputers, CompA and CompB. Because of the interest inmicrocomputers, they can sell al that they could possibly produce. However. they wish to size theproduction rate so as to satisfy various estimated limits with a small production crew. Theseinclude assembly hours with 150 hours per week and testing hours with 70 hours per week.CompA requires 4 hours of assembly and 3 hours of testing while CompB requires 6 hours ofassembly and 3.5 hours of testing. The profit for each unit of CompA is $300 and the profrt foreach unit of CompB is $450. Let x be the decision variable representing the quantity for CompAand y be the decision variable representing the quantity for CompB.(i) What is the objective function to maximize weekly profit P?(ii) What is the constraint for assembly hours?(iii) What is the constraint for testing hours?

Objective Functions and Constraints: Based on the given details, the objective…

Answered: Two recent graduates have decided to…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Management realized that the optimal product mix, taking setup costs into account, might be different from the one recommended in part (b). Formulate a mixed-integer linear program that takes setup costs provided in part (c) into account. Management also stated that we should not consider making more than 175 units of product 1, 150 units of product 2, or 140 units of product 3. What are the new objective function and additional equation constraints? If the constant is "1" it must be entered in the box. Let Yi is one if any quantity of product i is produced and zero otherwise. Max $ P1 + $ P2 + $ P3 - $ Y1 - $ Y2 - $ Y3 s.t. P1 Y1 P2 Y2 P3 Y3 P1, P2, P3 ≥ 0 (e) Solve the mixed-integer linear program formulated in part (d). How much of each product should be produced and what is the projected total profit contribution? Compare this profit contribution to…
Management realized that the optimal product mix, taking setup costs into account, might be different from the one recommended in part (b). Formulate a mixed-integer linear program that takes setup costs provided in part (c) into account. Management also stated that we should not consider making more than 175 units of product 1, 150 units of product 2, or 140 units of product 3. What are the new objective function and additional equation constraints? If the constant is "1" it must be entered in the box. Let Yi is one if any quantity of product i is produced and zero otherwise. Max $ P1 + $ P2 + $ P3 - $ Y1 - $ Y2 - $ Y3 s.t. P1 Y1 P2 Y2 P3 Y3 P1, P2, P3 ≥ 0 and integer (e) Solve the mixed-integer linear program formulated in part (d). How much of each product should be produced and what is the projected total profit contribution? Compare this profit contribution…
Component D consists of 4 units of A, 1 unit of B, and 2 units of C. The table and figure indicate which facilities can produce which product (component or assembly). There is demand for 500 units of assembly D. The transportation costs between facilities 1 - 4 and facility 5 are identical. Total capacity to produce Band/or C at facility 3 is 800. To minimize costs , how much of C will be produced at facility 4? Only variable production costs need to be considered. Facility Variable production costs (€/unit} 1 10 (A) 2 12 (A); 14 ( B) 3 10 (B); 10 (C) 4 12 (C)
Item4 Time Remaining 2 hours 53 minutes 2 seconds 02:53:02 eBookReferences Item 4 Time Remaining 2 hours 53 minutes 2 seconds 02:53:02 The production planner for a private label soft drink maker is planning the production of two soft drinks: root beer (R) and sassafras soda (S). There are at most 12 hours per day of production time and 1,500 gallons per day of carbonated water available. A case of root beer requires 2 minutes of time and 5 gallons of water to produce, while a case of sassafras soda requires 3 minutes of time and 5 gallons of water. Profits for the root beer are $6.00 per case, and profits for the sassafras soda are $4.00 per case. The firm’s goal is to maximize profits. What is the time constraint? rev: 09_21_2020_QC_CS-229783 Multiple Choice 5R + 5S ≤ 720. 3R + 5S ≤ 720. 2R + 5S ≤ 720. 3R + 2S ≤ 720. 2R + 3S ≤ 720.
Terry, Inc., makes gasoline storage tanks. All production is done under contract. The company makes three basic models, but each model must be adapted to customer specifications for the location of outlets, insulation, and paint. It takes from three to six months to complete a tank. How should Terry account for the income for the business?
Market Company’s policy is to have 30% of the next month's sales on hand at the end of the current month. Projected sales for August, September, and October are 26,000 units, 21,000 units, and 31,000 units, respectively. How many units must be purchased in September?
Production and Materials Purchases Budgets White Corporation’s budget calls for the following sales for next year:Quarter 1 90,000 units Quarter 3 68,000 unitsQuarter 2 76,000 units Quarter 4 96,000 unitsEach unit of the product requires 3 pounds of direct materials. The company’s policy is to begineach quarter with an inventory of product equal to 5% of that quarter’s estimated sales requirementsand an inventory of direct materials equal to 20% of that quarter’s estimated direct materials requirements for production.Required Determine the production and materials purchases budgets for the second quarter.
Heath Production manufactures chairs. Several weeks ago, the company received an inquiry from Rose Limited. Rose wants to market a foldable chair similar to one of Heath’s and has offered to purchase 12 000 units if the offer can be completed in three months. The cost data for Heath’s foldable chair is as follow: Direct material $16.40 Direct labour (0.125 @ $36 per hour) 4.50 Total manufacturing overhead 20.00 Total $40.90 The normal selling price of Heath’s foldable chair is $51.00. However, Rose has offered Heath only $31.50 because of the large quantity it is willing to purchase. Rose requires a modification of the design that will allow a $4.20 reduction in direct material cost. The production manager of Heath notes that the company will incur $8400 in additional setup costs and will have to purchase $5800 special equipment to…
2. A machine part can be exhausted either from aluminum or steel. There is an order of 8,000 units.Steel costs 3.80Php/kg, while aluminum cost 8.70Php/kg. If steel is used, the steel per unit weighs110g and 30g for aluminum. In production, steel is 50 units/hr and 80units/hr with an aid of a toolcosting 640Php, which will be useless after the 8,000 units are finished. The cost of the machineoperator is 10.80Php/hr. if all other costs are identical, which material is more economical?a. Aluminum, by 1,264Php cost difference.b. Aluminum, by 1,653Php cost differencec. Steel, by 640Php cost difference.d. Steel, by 1,088Php cost difference.e. None of the above
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.…
Semans is a manufacturer that produces bracket assemblies. Demand for bracket assemblies (X) is 125 units. The following is the BOM in indented form: ITEM DESCRIPTION USAGE X Bracket assembly 1 A Wall board 4 B Hanger subassembly 2 D Hanger casting 4 E Ceramic knob 1 C Rivet head screw 3 F Metal tong 4 G Plastic cap 2 Below is a table indicating current inventory levels: Item X A B C D E F G Inventory 22 15 75 24 202 139 1,000 95 What are the Net Requirements for X, A, B, and C respectively?
Bruno Fruscalzo decided to set up a small production facility in Sydney to sell to local restaurants that want to offer gelato on their dessert menu. To start simple, he would offer only three flavors of gelato: fragola (strawberry), chocolato (chocolate), and bacio (chocolate with hazelnut). After a short time he found his demand and setup times to be Fragola Chocolato Bacio Demand (kg/hour) 10 15 5 Setup time (hours) 3/4 1/2 1/6 Bruno first produces a batch of fragola, then a batch of chocolato, then a batch of bacio and then he repeats that sequence. For example, after producing bacio and before producing fragola, he needs 45 minutes to set up the ice cream machine, but he needs only 10 minutes to switch from chocolato to bacio. When running, his ice cream machine produces at the rate of 50 kg per hour no matter which flavor it is producing (and, of course, it can produce only one flavor at a time). Questions: Suppose Bruno wants to minimize…

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