National Business Machines manufactures x model A portable printers and y model B portable printers. Each model A costs $100 to make, and each model B costs $150. The profits are $35 for each model A and $45 for each modelB portable printer. If the total number of portableprinters demanded per month does not exceed 2500 and the company has earmarked no more than $600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profit?1)(х, у)What is the optimal profit?$

Name: National Business Machines manufactures x model A portable printers a
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: National Business Machines manufactures x model A portable printers and y model B portable printers. Each model A costs $100 to make, and each model B costs $150. The profits are $35 for each model A and $45 for each modelB portable printer. If the

Model A Model B Number of printers x y Cost/printer $100 $150 Profit/printer $35 $45…

Math

Advanced Math

National Business Machines manufactures x model A portable printers and y model B portable printers. Each model A costs $100 to make, and each model B costs $150. The profits are $35 for each model A and $45 for each model B portable printer. If the total number of portab printers demanded per month does not exceed 2500 and the company has earmarked no more than $600,000/month for manufacturing costs, how many units of each model should National make each month maximize monthly profit? (x, y) - ( What is the optimal profit?

National Business Machines manufactures x model A portable printers and y model B portable printers. Each model A costs $100 to make, and each model B costs $150. The profits are $35 for each model A and $45 for each model B portable printer. If the total number of portab printers demanded per month does not exceed 2500 and the company has earmarked no more than $600,000/month for manufacturing costs, how many units of each model should National make each month maximize monthly profit? (x, y) - ( What is the optimal profit?

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

Related questions

Q: January, the softcover books, and eft Coast Bookstore chain sold 600 hardcover books, 1,700 plastic…

A: We know that Profit= Selling Price - Cost Price the matrix 600 1100 1700 denotes number of sold…

Q: A manufacturer of calculators has a monthly fixed cost of $500 and a processing cost of $17 for each…

A: Profit is equal to difference of selling price and manufacturing cost.

Q: A movie rental company has 1000 subscribers, and each pays $15 per month. On the basis of a survey,…

A: The maximum of a function is obtained by differentiating the function and equating it to 0 to find…

Q: An equipment rental firm purchased a new scissor lift to add to its rental fleet. The scissor lift…

Q: How many shoes would be required to sell to earn an operating profit of P1, 000, 000 if the XYZ…

Q: The total travel and subsistence (T&S) fee for this project was not agreed before the project…

Q: Bill is trying to determine how many units of two types of telephones to produce each day. One of…

Q: Flint lab produces 4 high tech product types. Each of the products must be wired, drilled, assembled…

A: let A=Product A, B=Product B, C=Product C, D=Product D

Q: suppose it costs $52,000 per year to live in city A. It costs $90,000 to live in city B. In which…

A: We have to find correct answer.

Q: A publisher for a promising new novel figures fixed costs at $46,157 and variable costs at $2.97 for…

Q: earned $6,500 this summer and plans to invest her money for 10 years, and she has two options to…

Q: A farmer, in the business of growing fodder for livestock, has 90 acres available for planting…

A: Total area of land available to a farmer = 90 acres.The cost of seed of alfalfa per acre = $32.The…

Q: Bruno Fruscalzo decided to start a small production facility in Sydney to sell gelato to the local…

A: In order to meet consumer demand while reducing holding costs and stockouts (shortages), inventory…

Q: A circuit board manufacturer estimates the yearly demand to be 1,000,000. It costs $400 to set up…

A: Topic - Optimization Problem We are given,k= Set up cost per order = $400D = demand…

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

A: First we will construct a linear programming problem using the given informations and then we will…

Q: It costs Lannon Fields $28 of variable costs and $12 of allocated fixed costs to produce an…

A: Given the fixed cost to produce trash can is $12 and variable cost is $28. A buyer buys 3000 units…

Q: A monthly subscription to a video-gaming website has the following costs. Monthly 3 Months 6 Months…

A: Monthly 3 Months PAckage 6 months package $10.99 per month $9.99 per month $7.50 per month…

Q: A manager must decide on the mix of products to produce for the coming week. Product A requires…

A: see below the answer and explanation

Q: ayou Donuts with fixed costs of $4,125 per month sells coffee and donuts. The shop sells two cups of…

Q: Kindly give me a detailed response. Thank you.

A: We will be using linear programming to identify the optimal schedule and will use Excel solver to…

Topic Video

Question

National Business Machines manufactures x model A portable printers and y model B portable printers. Each model A costs $100 to make, and each model B costs $150. The profits are $35 for each model A and $45 for each modelB portable printer. If the total number of portable
printers demanded per month does not exceed 2500 and the company has earmarked no more than $600,000/month for manufacturing costs, how many units of each model should National make each month to maximize its monthly profit?
1)
(х, у)
What is the optimal profit?
$

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Th have $150,000 available to purchase additional equipment and 250 square feet of floor space to install the new equipment. They can purchase a lathe, a press, a grinder, a metal bender, a shearing table, or some combination of the above. The company can only purchase one of each item, but they Manufacturing Company is looking to expand their production capabilities. They may purchase as many of items as they can afford. The cost and square footage for each machine is detailed in the table below. Name Cost Square Footage Lathe (x1) $45,000 50 sq ft Press (x2) $65,000 80 sq ft Grinder (x3) $30,000 120 sq ft Metal Bender (x4) $75,000 70 sq ft Shearing Table (x5) $15,000 80 sq ft The company estimates they can generate a profit each day from each piece of equipment of $800 from the lathe, $600 from the press, $1,400 from the grinder, $1.200 from the metal bender, and $400 from the shearing table. Unfortunately, the manufacturing company only has the safety permit to install the lathe or…
A recipe for a berry smoothie, which sell for $3 each, uses 6 oz of berries and 2 oz of bananas. A recipe for a tropical smoothie, which sell for $5 each, uses 2 oz of berries and 4 oz of bananas. If I have 90 oz of berries and 80 oz of bananas available, how man of each type of smoothie should I make to maximize my revenue?
A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. Labor-Hours per Ski Maximum Labor-Hours Available per Day 360 40 Department Fabricating Finishing Trick Ski 10 1 Slalom Ski 8 1 If the profit on a trick ski is $60 and the profit on a slalom ski is $40, how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? The maximum profit is $ The maximum occurs when trick skis and slalom skis are produced.
A toy factory creates miniature steel train engines and box cars. The fabrication department has 5,279 minutes available per week and the assembly and finishing department has 5,999 minutes available per week. Manufacturing one miniature steel train engine requires 12 minutes of fabrication and 10 minutes of assembling and finishing. Manufacturing one miniature steel box car requires 6 minutes of fabrication and 10 minutes of assembling and finishing. The profit on each miniature steel train engine is $9.50 and the profit on each miniature steel box car is $8.25. How many steel train engines and steel box cars should be produced each week to obtain the maximum profit? Find the maximum weekly profit. (Use x for box car and y for train engine.) Maximize P = ≤5, 279 5,999 subject to Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed round toys to…
A company makes pancake mix and cake mix. Each pound of pancake mix uses 0.6 lb of flour and 0.1 lb of shortening. Each pound of cake mix uses 0.4 lb of flour, 0.1 lb of shortening, and 0.4 lb of sugar. Suppliers can deliver at most 6,000 lb of flour, at least 500 lb of shortening, and at most 1,200 lb of sugar. If the profit per pound is $0.45 for pancake mix and $0.35 for cake mix, how many pounds of each mix should be made to earn maximum profit? pancake mix 2000 Xlb lb cake mix 3000 What is the maximum profit (in $)? $3450 X
A publishing company sells 400,000 copies of a certain book each year. Ordering the entire amount printed at the beginning of the year ties up valuable storage space and capital. However, printing the copies in several partial runs throughout the year results in added costs for setting up each printing run, which costs $1000. The carrying costs, figured on the average number of books in storage, are $.50 per book. Find the most economical lot size, that is, the production run size that minimizes the total setting up andcarrying costs.
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 tutoring service provides tutoring for a fee. When the tutoring service charges $11/hour, there is a demand for 28 tutors per week. When the hourly rate rises to $17/hour, the demand drops to 16 tutors per week. On the other hand, at $11/hour, the service is able to support only 28 tutors per week, whereas at the rate of $17/hour, it is able to provide 58 tutors per week. Find the price per hour at which the number of tutors demanded and the number of tutors supplied will be equal.
When a company offers a new product or service, they estimate how much of that product or service people will want at different prices. This is referred to as the product or service demand . As the price of a product or service increases, the demand usually decreases, and this drives the price down. Companies use the estimated demand to determine how much of a product or service they are willing to supply at different prices. As the price of a product or service increases, companies are willing to supply more of it because they will earn more money. If you graph the demand and the supply curves on the same xy-plane, they will sometimes intersect at the point where the price and the supply are in equilibrium. Consider the scenario below. Yaseen is a local artist who wants to increase the amount of money she earns every month by selling at-home painting kits. These kits will include a photograph of the finished painting, a link and password to Yaseen’s YouTube channel where she will…
A local convenience store sells a large variety of snack foods. If their budget for the month includes sales of $338,000, total variable costs of $202,800, and fixed costs of $24,500, how much must their sales be to break even?
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 farmer has 12 hectares of land on which he grows corn, wheat, and soybeans. It costs $4500 per hectare to grow corn, $6000 to grow wheat, and $5000 to grow soybeans. Because of market demand the farmer will grow twice as many hectares of wheat as corn. He has allocated $6,375,000.00 for the cost of growing his crops. How many hectares of each crop should he plant?