c. Barahan Plus Chemicals, Inc. produces two products that are sold as raw materials tocompanies manufacturing bath soaps and laundry detergents. Based on an analysis of currentinventory levels and potential demand for the coming month, the company's managementhas specified that the combined production for products A and B must total at least 350gallons. Separately, a major customer's order for 125 gallons of product A must be satisfied.Product A requires 2 hours of processing time per gallon while product B requires 1 hourof processing time per gallon, and for the coming month, 600 hours of processing time areavailable. Barahan Plus Chemicals' objective is to satisfy these requirements at a minimumtotal production cost. Production costs are 80 per gallon for product A and 120 pergallon for product B. Formulate a linear programming model that will find the minimum-cost production schedule.ud aviz Meu? Jes

Let x gallon of product A and y gallon of product B are produce Given production cast is ₱80 per…

Answered: Barahan Plus Chemicals, Inc. produces…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Trans Global Tractor Trailers has decided to spend up to $2,700,000 on a fleet of new trucks, and it is considering three models: the Gigahaul, which has a capacity of 6,000 cubic feet and is priced at $60,000; the Megahaul, with a capacity of 5,000 cubic feet, priced at $50,000; and the Picohaul, with a capacity of 2,000 cubic feet, priced at $40,000. The anticipated annual revenues are $500,000 for each new truck purchased (regardless of size). Trans Global would like a total capacity of up to 234,000 cubic feet and feels that it cannot provide drivers and maintenance for more than 54 trucks.How many of each should it purchase to maximize annual revenue? (Gigahaul, Megahaul, Picohaul) = trucks What is the largest possible revenue it can make? $
The company has data on demand and factory capacity for the next 4 months as in the table. Unit cost with regular time $ 24, overtime cost $ 28, on subcontract $ 34. Storage costs $ 2 per unit per month; backorders cost $ 5 per unit per month. Initial inventory is as many as 120 units, and it is expected that by the end of July there will be an inventory of 100 units. April May June July Demand 460 450 480 480 Regular Capacity 370 370 380 380 Overtime Capacity 60 60 60 60 Subcontract Capacity 30 30 30 30 Use the transportation method to optimize the aggregate plan. Determine the production cost each month and the total cost for 4 months
A company uses four special tank trucks to deliver four different gasoline products to customers. Eachtank has five compartments with capacities: 500, 750, 1200, 1500, and 1750 gallons. The daily demands forthe four products are 10000, 15000, 12000, and 8000 gallons. Any quantities that cannot be delivered by thecompany’s four trucks must be subcontracted at the additional costs of 5, 12, 8, and 10 cents per gallon forproducts 1, 2, 3, and 4, respectively. The goal is to develop the optimal daily loading schedule for the fourtrucks that will minimize the additional cost of subcontracting. Formulate this problem as an integer linearprogram, and solve it using linear program solver.
A remotely located air sampling station can be powered by solar cells or by running an electric line to the site and using conventional power. Solar cells will cost $15000 to install and will have a useful life of 4 years with no salvage value. Annual costs for inspection, cleaning, etc. are expected to be $1500. A new power line will cost $13000 to install, with power costs expected to be $1200 per year. Since the air sampling project will end in 4 years, the salvage value of the line is considered to be zero. At an interest rate of 14.00% per year, which alternative should be selected on the basis of a future worth analysis? (Include a minus sign if necessary.) The future worth of solar cells is $ _____ and that of electric line is $_____ . ?Solar cells? or ?Electric line? should be selected on the basis of a future worth analysis.
XYZ Corporation operates two plants, each of which has a capacity of 200 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 17 units per day while customer D has a demand of 349 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below. Customer A Customer B Customer C Customer D Plant 1 25 19 12 14 Plant 2 15 21 23 20 How many units should XYZ ship from each plant to each customer?
A certain faculty printer is shared by staff and students. Suppose that the rate of generating requests to the printer by staff is twice that of students, but that the average time to print a student printout is the same as average time for a faculty printout. If the utilization of the printer by the students is 25%, the utilization of the printer by the faculty is 50%, the overall average service time is 1 minute, what is the average time the students spend waiting for their printout (time spend in system)?
A florist provides fresh flowers to shops in Wollongong. At present she has one nursery in Goulburn with capacity 9000 units a year. The florist is considering opening shops in Canberra and Sydney, and has found three potential nursery sites at Wagga, Orange and Bathurst. The transportation tableau below summarises the projected nursery capacities (units), the cost per unit of shipping from each nursery to each destination (dollars), and the demand (units) for the coming year. j=1 j=2 j=3 Sydney Capacities Wollongong Canberral 5 i=1 Goulburn 12 9000 i=2 Wagga 7 10 4000 i=3 Orange 4 7000 i=4 Bathurst 11000 Demand 11000 5000 8000 There are further constraints on how the nurseries can be located: • If a nursery is located in Wagga, another must be located in Bathurst and vice- versa. • One nursery can be located in Orange or Bathurst, but not both. Suppose that the costs of establishing new nurseries are Wagga $180,000 Orange $160,000 Bathurst $270,000 The goal is to develop a 0-1…
TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. The output at Location I is at most 6500 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 2600 and 4100 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. To Pulsar Factories From TMA City A City B Location I $7 $4 Location II $8 $8 TMA will ship x televisions from Location I to City A and y televisions from Location I to City B. Find a shipping schedule that meets the requirements of both companies while keeping costs, C (in dollars), to a minimum. Minimize C =…
G.97.

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