For the following problems, show COMPLETE andstep by step solution.1. Barstow Community College offers a total of 30 courses each semester. Thecourses offered are usually of two types: practical, such as woodworking, wordprocessing, and car maintenan ce; and humanistic, such as history, music, and finearts. To satisfy the demands of the community, at least 10 courses of each typemust be offered each semester. The division estimates that the revenues of offeringpractical and humanistic courses are approximately $1500 and $1000 per course,respectively.a) Formulate this as an LP problem, Define your variables very clearly. You haveto give the correct definition of the variables.(a) Devise an optimal course offering for the college. Use graphical solution. Showcomplete solution. Indicate the feasible region by shading it.

(a) Let x represents the number of practical courses and y represents the number of humanistic…

Answered: 1. Barstow Community College offers a…

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

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 newly opened bed-and-breakfast projects the following: Monthly fixed costs Variable cost per occupied room per night $60 Revenue per occupied room per night $10000 $165 How many rooms would have to be occupied per month in order to break even?
Question 6 of 8 The $392,000 yearly rent of a four-story building is to be expensed to the four departments using it according to the number of floors occupied. Sales occupies two floors, and Finance one floor. The Administration department and the Resarch and Development department share one floor equally. How much of the rent expense is allocated to each department? Sales: Finance: Administration: R&D:
A manufacturer sells a product at $8.45 per unit, selling all produced. The fixed cost is $2300 and the variable cost is $7.20 per unit. At what level of production will there be a profit of $5000? At what level of production will there be a loss of $1450? At what level of production will the break-even point occur? There will be a profit of $5000 when the production level is units. ...
The Sentry Lock Corporation sells a variety of electronic goods through television shows. The company has a number of storages to keep the goods it sells, but also takes out a lease on additional storage space when required. During the next 5 months the company anticipates that it is going to need to take out a lease on the following amounts of additional storage space: Month 1 2 3 4 5 Square Feet(ft2) Needed 20,000 30,000 40,000 35,000 50,000 In the beginning of any month the company can take out a lease on additional space for one or more months at the following costs: Lease Term (months) 1 2 3 4 5 Cost per Sq. Ft. Leased $55 $85 $130 $165 $185 Therefore, for example, in the beginning of month 1 the company can take out a lease on as much space as it requires for four months at a cost of $165 per ft2 . Similarly, in the beginning of month 3 it can take out a lease on any amount of space for two months at a cost of $85 per ft2 . The company needs to determine the optimal way of…
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.
c) The fixed costs of a business for production of a particular item over a period are $1000 while the production cost per unit is $90. If the business is able to produce and sell 200 items over the period, what should the sales price of the item be in order for the business 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?
There are three factories located at AR, IN, and TX respectively. From these locations, a certain commodity is to be delivered to each of the two warehouses situated at A and B. The revenue per commodity item is $10. The weekly demand of the warehouse A and B are respectively 50 and 35 units of the commodity while the production capacity of the factories at AR, IN, and TX are respectively 28, 22, and 35 units. The cost of transportation per unit is given as belows. Cost Warehouse A Warehouse B AR 5 3 IN 6 6 TX 2 4 To maintain a good relationship with all the factories, warehouse B requires that it receives at least 40% of its product from factory in TX. Realize that it is making good profit in warehouse A, AR requires that at least 35% of its product shipped to warehouse A. Formulate (without solving) a linear programming problem to maximize the profit.
Please check my attached case problem.

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