National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A costs $100 to make, and each model B costs $150. The profits are $35 for each model A and $50 for each model B fax machine. If the total number of fax machines 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? (х, у) What is the optimal profit? $

National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A costs $100 to make, and each model B costs $150. The profits are $35 for each model A and $50 for each model B fax machine. If the total number of fax machines 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? (х, у) What is the optimal profit? $

Name: National Business Machines manufactures x model A fax machines and y
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A costs $100 to make, and each model B costs $150. The profits are $35 for each model Aand $50 for each model B fax machine. If the total number of

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

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: A multimedia company anticipates that there will be a demand for 20,000 copies of a certain DVD…

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: 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 manufacturer of downhill and cross-country skis reports that manufacturing time is 1 hours and 4…

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…

Q: Sarah studies Business and Management and she also has a part-time job as a waitress at a…

A: Given the two regression models constructed by Sarah as y=β0+β1x1+ε y=β0+β1x1+β2x2+β3x3+ε

Q: An electronics company has factories in Cleveland and Toledo that manufacture Blu-ray and DVD…

Q: Cost

Q: PROBLEM #2: A group of 148 people is spending five days at a summer camp. The cook ordered 12 pounds…

Topic Video

Question

National Business Machines manufactures x model A fax machines and y model B fax machines. Each model A costs $100 to make, and each model B costs $150. The profits are $35 for each model A
and $50 for each model B fax machine. If the total number of fax machines 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?
(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.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 8 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

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 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?
Sarah studies Business and Management and she also has a part-time job as a waitress at a restaurant. The restaurant does not include service charges in their bills, and therefore Sarah often receives tips from the customers. Some customers give her very generous tips, while others leave hardly anything or nothing at all. Sarah began to wonder what the size of the tip may depend on. Just out of curiosity, she started to keep a record of the total prices on the bills and the tips she received. At first, she fit a simple linear regression model to the data and found that the size of the tip was significantly related to the total price. But at this point, she speculated that the tips may be affected by other factors as well, and an even better model could possibly be constructed by including further independent variables. For instance, the chef who prepares the dish(es) might affect the customers' satisfaction. The restaurant employs three chefs: Richard, Thomas, and Linda. Sarah decides…
Sarah studies Business and Management and she also has a part-time job as a waitress at a restaurant. The restaurant does not include service charges in their bills, and therefore Sarah often receives tips from the customers. Some customers give her very generous tips, while others leave hardly anything or nothing at all. Sarah began to wonder what the size of the tip may depend on. Just out of curiosity, she started to keep a record of the total prices on the bills and the tips she received. At first, she fit a simple linear regression model to the data and found that the size of the tip was significantly related to the total price. But at this point, she speculated that the tips may be affected by other factors as well, and an even better model could possibly be constructed by including further independent variables. For instance, the chef who prepares the dish(es) might affect the customers' satisfaction. The restaurant employs three chefs: Richard, Thomas, and Linda. Sarah decides…
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?
Food sales are $82,300 and Beverage Sales are $29,200. If food cost % is 35% and Beverage cost % is 24%, Calculate Gross Profit.
both sheets are for the same problem.