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: A company produces bags, each of which could be sold for $150. It has a fixed monthly cost of…

Q: A shoe manufacturer produces a pair of shoes at a labor cost of P9.00 a pair and a material cost of…

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: National Business Machines manufactures x model A portable printers and y model B portable printers.…

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

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

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: Night Shades Inc. (NSI) manufactures biotech sunglasses. These sunglasses sell for $150 each, and…

A: Given: The selling price of each sunglasses is $150. The cost to produce each sunglass is $70. The…

Q: A factory manufactures chairs and tables, each requiring the use of three operations: Cutting,…

A: This question related to linear programming problem of two variable. We will solve it by graphical…

Q: A company uses 5000 items per annum which has a price of $2 each. The ordering costs are $150 per…

A: It is given that the company uses 5000 items per annum, so demand is 5000 and per order, the company…

Q: A tutoring service provides tutoring for a fee. When the tutoring service charges $11/hour, there…

A: Image is attached with detailed solution.

Q: . If you were to graph two quadratic functions on the same xy-plane, how many intersection points…

A: Given: Two quadratic equation. The given demand function is fx=0.02x-1002 and the given supply…

Q: A local convenience store sells a large variety of snack foods. If their budget for the month…

A: Given that a local convenience store sells a large variety of snack foods. If their budget for the…

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

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 newspaper vendor was observed for a few weeks. He made a profit of $3000 on Sunday, $1000 on Wednesday and a loss of $1000 on the Saturday of the first week. In the next week and for the same days as the previous week, he made a turnover of $2000, $4000 and a loss of $2000. The final week, he made a loss of $1000 on the first two designated days and a profit of $3000 on the last day of observation. Which of the following characteristic polynomials relate to the above problem? Select one: O A -A + 18A? 28A 24 O B. X + 10A? 28A + 24 OC A+ 10A? 28A 24 OD + 10A? + 28A + 24 O E. A + 10A² - 28A +24
About 1/3 of Samuel’s paycheck goes to housing, 1/6 goes to utility bills, 1/8 goes for his car, and 1/5 goes for food. How much of his paycheck is left for entertainment?
A waterpark has a profit of $22,000 on sunny days, a profit of $11,500 on overcast days, but a loss of $4,000 on rainy days. For the month of June, the weather is predicted to be 62% sunny, 23% overcast, and 15% rainy. Find the expected daily profit for the waterpark in June.