A manufacturer produces three products, A, B, C. The profits for each unit of A, B, and C sold are $1, $2, and $3, respectively.Fixed costs are $17,000 per year, and the costs of producing each unit of A, B, and C are $4, $5, and $7, respectively. Nextyear, a total of 11,000 units of all three products is to be produced and sold, and a total profit of $23,000 is to be realized. Iftotal cost is to be $78,000, how many units of each of the products should be produced next year?

We have to find the units value of each products.

Answered: A manufacturer produces 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

See similar textbooks

Similar questions

A company uses 5000 items per annum which has a price of $2 each. The ordering costs are $150 per order and holding costs are $1.50 per item per annum. The company is offered a 5% discount (discounted price is $1.90) for orders of 5000 and over. Order cost and holding cost remain at $150 per order and $1.50 respectively. Assuming that the company orders 5000 items per order, calculate the number of orders per annum, average stock, annual stock holding cost, annual order cost, annual inventory cost and the total annual cost of items and inventory.
A widget manufacturer has the capability of making three types of widgets. Type A widgets require 14 minutes on a lathe, 2 minutes on a grinder, and 2 minutes on a drill press, and produce a profit of $5. Type B widgets require 8 minutes on a lathe, 7 minutes on a grinder, and 2 minutes on a drill press, and produce a profit of $25. Type C widgets require 4 minutes on a lathe, 4 minutes on a grinder, and 8 minutes on a drill press, and produce a profit of $30. Each day, 620 minutes of lathe time, 530 minutes of grinder time, and 220 minutes of drill press time are available. How many of each type of widget should be produced each day to maximize the profit? What is the maximum profit? The maximum profit is $ This occurs when the manufacturer makes. type A widgets, type B widgets, and type C widgets each day. (Simplify your answers)
[1] The Pinewood Furniture Company produces chairs and tables from two resources – labor and wood. The company has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board-ft. of wood, whereas a table requires 10 hours of labor and 6 board-ft. of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. Solve this model by using linear programming. [3] The total number of constraints in this problem, including non-negativity constraints is: A. 4B. 5C. 3D. 2 [4] The feasible region has _____ corner points.A. 5B. 3C. 4D. 6
A company manufactures paring knives and pocket knives. Each paring knife requires 3 labor-hours, 7 units of steel, and 4 units of wood. Each pocket knife requires 6 labor-hours, 5 units of steel, and 3 units of wood. The profit on each paring knife is $3, and the profit on each pocket knife is $5. Each day the company has available 102 labor-hours, 157 units of steel, and 123 units of wood. Suppose that the number of labor-hours that are available each day is increased by h. For what values of h will a change of h labor-hours not change the shadow price of labor? The shadow price of labor will not change for shs. (Simplify your answers.)
A certain company is producing and selling its product X. The variable cost of the product X is 60% of its selling price, and the fixed cost of the company is $50,000 per month. When the company’s target profit for the forthcoming month is $20,000, how much sales volume (in dollars) is required to meet it?
A factory produces two types of product which give $60 and $70 profit respectively, and which both require three machines A, B, C for their production. The three machines are available at most 8, 5, and 8 hours per week, respectively. The first type of product requires 1 hour on each of the machines A and B, and 2 hours on the machine C. The second type of product requires 2 hours on the machine A and 1 hour on each of the machines B and C. Find the maximum.
A manufacturer produces three products, A, B, and C. The profits for each unit of A, B, and C sold are $1, $2, and $3, respectively. Fixed costs are $16,000 per year, a the costs of producing each unit of A, B, and C are $4, $5, and $7, respectively. Next year, a total of 12,000 units of all three products is to be produced and sold, and a total profit of $26,000 is to be realized. If total cost is to be $83,000, how many units of each of the products should be produced next year? units of product A, units of product B, and units of product C should be produced.
A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II. (a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $ and $ . (Enter your answers from smallest to largest.)(b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $208.80.$ (c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $2.00 (with the contribution to the profit of a Type A souvenir held at $1.00)?$
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:
A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B requires 3 hours of fabrication and 1 hour of assembly; and component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 900 labor-hours of fabrication time and 700 labor-hours of assembly time available per week. The profit on each component, A, B, and C, is $7, $8, and $10, respectively. How many components of each type should the company manufacture each week in order to maximize its profit (assuming that all components manufactured can be sold)? What is the maximum profit? Let x₁, x2, and x3 be the numbers of components A, B, and C, respectively, that get manufactured. Construct a mathematical model in the form of a linear programming problem. Maximize P=[ subject to X1, X₂, X3 20 The company should manufacture (Simplify your answers.) Fabrication time restriction Assembly time restriction…
A custom guitar shop sells two types of guitars: electric and acoustic. The creation process of each guitar is broken into three parts: building the base guitar, applying the finish/paint, and adding accessories. The time requirements (in days) and the total days available for each phase of the creation process are shown in the below. Electric Acoustic Base quitar Applying the creation finish/paint 2 There are 6 4 492 2 186 Adding accessories 2 5 Total days If they profit $600 from each electric guitar and $500 from each acoustic guitar, how many of each guitar type should be made to maximize the shop's profit? What is the shop's maximum profe dollars)? 340 The maximum profit is s when electric guitars and Determine if the shop has any leftover time (in days) for each task, entering 0 if no time is leftover days leftover for building base guitars, acoustic guitars are made. days leftover for applying finish/paint, and days leftover for adding accessories,
Question 28 A company manufactures two lines of bathtubs, called model A and model B. Every tub requires a certain amount of steel and zinc; the company has available a total of 25,000 pounds of steel and 6,000 pounds of zinc. Each model A bathtub requires a total of 125 pounds of steel and 20 pounds of zinc, and each yields a profit of $90. Each model B bathtub can be sold for a profit of $70; model B requires 100 pounds of steel and 30 pounds of zinc. Additionally, due to a space constraint the company can stock no more than 150 units of tub model A. Determine the binding constraint(s). Steel Space Steel and Zinc Zinc and Space Steel and Space to

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS