A company produces three types of pencil holders: basic, deluxe, and supreme. All types require plastic, rubber, and silver as shown below:ТуреPlastic RubberSilverBasic122DeluxeSupreme224124The company has 700 units of plastic, 1000 units of rubber, and 1600 units of silver. It makes a profit of $5, $6, and $3 respectively on basic, deluxe, andsupreme pencil holders. Assuming that all pencil holders which are manufactured can be sold, determine the number of each type of pencil holder thecompany should produce to maximize its profit.Number of Basic pencil holders =Number of Deluxe pencil holders:=Number of Supreme pencil holders =

Let's examine the issue in greater detail. Pencil holder varieties made by the company are basic,…

Answered: A company produces three types of…

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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Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,600. Manufacturing costs are $14 for each 4-cylinder connecting rod and $19 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 7,000 4-cylinder connecting rods. Let 56 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise (a) Using the decision variables x4 and s, write a constraint that limits next…
Tim Smunt has been asked to evaluate two machines. After some investigation, he determines that they have the costs shown in the following table: He is told to assume that: 1. The life of each machine is 3 years. Machine A Machine B Original Cost Labor per year $15,000 $20,000 $2,200 $4,000 Maintenance per year Salvage value $4,600 $1,000 $2,400 $7,500 2. The company thinks it knows how to make 8% on investments no more risky than this one. 3. Labor and maintenance are paid at the end of the year. • The NPV for Machine A: The NPV for Machine B: Using the net present value as the basis of comparing the machines, Tim should recommend:
Tim Smunt has been asked to evaluate two machines. After some investigation, he determines that they have the costs shown in the following table: Machine A Machine B Original Cost $12,000 $20,000 Labor per year $2,400 $4,400 Maintenance per year $4,000 $1,200 Salvage value $1,600 $7,500 He is told to assume that: 1. The life of each machine is 33 years. 2. The company thinks it knows how to make 88% on investments no more risky than this one. 3. Labor and maintenance are paid at the end of the year. 1. What is the NPV Value of Machine A? 2. Calculate the NPV for Machine B 3. Using the net present value as the basis of comparing the machines, Tim should recommend Machine A or B?
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,500, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,900. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…

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