A factory manufactures three products, A, B, and C. Each product requires the use of two machines,Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il permonth are 5,880 and 8,840. The time requirements and profit per unit for each product are listedbelow.CMachine 149 6Machine II 6 7 16Profit$12 $17 $20A BHow many units of each product should be manufactured to maximize profit, and what is themaximum profit?Start by setting up the linear programming problem, with A, B, and C representing the number ofunits of each product that are produced.Maximize P =subject to:Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2decimal places.The maximum profit is $≤ 5,880<8,840units of product Aunits of product Bunits of product Cwhen the company produces:

Answered: Image /qna-images/answer/b48ad1b6-f935-471c-89a5-c7ccebd1ee30.jpg

Answered: A factory manufactures three products,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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need comprehensive and correct answers.This question is about optimization.
Suppose that a furniture manufacturer makes chairs, sofas, and tables. Consider the following chart of labor hours required and available. Chair Sofa Table Daily labor available (labor- hours) 3 8 =III 1 2 6 0 The profit per chair is $50, per sofa $40, and per table $80. How many pieces of each type of furniture should be manufactured each day to maximize the profit? Carpentry Finishing Upholstery 6 1 2 720 144 228
Sandra has at most $200,000 to invest in stocks, bonds, and money market funds. She expects annual yields of 15%, 10%, and 8%, respectively, on these investments. If Sandra wants at least $50,000 to be invested in money market funds and requires that the amount invested in bonds be greater than or equal to the sum of her investments in stocks and money market funds, determine how much she should invest in each vehicle to maximize the return on her investments. stocks $ bonds $ money market funds $ What is the maximum return?$_______ plz help im lost and have one chance
Example 12.8. A firm uses milling machines, grinding machines and lathes to pro- duce two motor parts. The machining times required for each part, the machining times avail- able on different machines and the profit on each motor part are given below : Machining time reqd. for the motor part Max. time available per Type of machine (mts) week (minutes) I II 10 2,000 Milling machines Grinding machines Lathes. 2 900 12 3,000 Profit/ unit (Rs.) 100 40 Determine the number of parts I and II to be manufactured per week to maximize the profit. د ه
Production Line Speed and Quality Control. Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute. Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected. a Develop a scatter diagram with the line speed as the independent variable. b) What does the scatter diagram developed in part (a) indicate about the…
Hoosier Power needs to determine a capacity expansion plan to meet Bloomington’s power needs for thenext 20 years. The current capacity is 5000 kwh. The demand for the current year is 4000 kwh, and demand is expected to increase by 1000 kwh in each succeeding year. At the beginning of each year, Hoosier Power must determine the amount of capacity to add, given the following inputs: ■ Any year in which capacity is added, a fixed cost of $120,000 is incurred plus a cost of $120 per kwh of capacity. ■ At most 10,000 kwh of capacity can be added in a single year. ■ It costs $25 per year to maintain a unit of capacity. ■ It costs $12 per year to produce a kwh. ■ If production does not meet demand, a shortage cost of $80 per kwh short is incurred. Develop a linear integer model to help Hoosier Power minimize its costs for the next 20 years.
A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine II per month are 7,050 and 9,340. The time requirements and profit per unit for each product are listed below. B C Machine I 4. 9. 11 Machine II 8 7 16 Profit $10 $12 $14 How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: s7,050 < 9,340 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product C Submit Question esc D00 F1 F2 F3 F4 @
A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 780, 960, and 720, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Dept. I Dept. II Dept. II Profit 144 Product A 240 2 3 2 $18 X Product B If management decides that the number of units of Product B manufactured must equal or exceed the number of units of products A and C manufactured, how many units of each product should the company produce to maximize its profit? product A 0 product B product C 1 1 2 $12 What is the maximum profit (in dollars)? $ 7038 X Product C 2 2 1 $15
A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il per month are 7,760 and 10,080. The time requirements and profit per unit for each product are listed below. ABC Machine I 7 9 10 Machine II 8 10 16 $12 $16 $22 Profit How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: <7,760 s 10,080 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product c

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