1.The manager of an oil refinery must decide on the optimal mix of two possibleblending processes of which the inputs and output per production run are asfollows:Process1.2.Input (Units)Crude A54Crude B35Output (Units)Gasoline X54Gasoline Y84The maximum amount available for crude A and B is 200 units and 150 unitsrespectively. Market requirement show that at least 100 units of gasoline X andso units of gasoline Y must be produced.The profits per production run from process 1 and process 2 are Rs. 300 and Rs.400 respectively. Solve the L.P. by simple method.

The manager of an oil refinery mixes two crudes to produce gasoline and .ProcessCrude ACrude…

Answered: 1. The manager of an oil refinery must…

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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1. ARI Chemicals produces two products that are sold as raw materials to companies manufacturing bath soaps and laundry detergents. Based on an analysis of current inventory levels and potential demands for the coming month, ARI management specified that the combined production for products A and B must total at least 350 gallons. Separately, a major customer’s order of 125 gallons of product A must also be satisfied. Product A requires 2 hours of processing time per gallon and product B requires 1 hour of processing time per gallon. For the coming month, 600 hours of processing time are available. ARI's objective is to satisfy these requirements at a minimum total production cost. Production costs are $2 per gallon for product A and $3 per gallon for product B. - Generate the mathematical model for the optimal number of products A and B to be produced by ARI chemicals. - Create Graph
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2. Index A firm uses three materials in its manufacturing processes. The quantities bought in 1990 and 1995 and the prices are as follows: Material Units Prices $ A B с 1990 第4页共5页 Thousands Gallons Meters 100 1 2 1995 150 2 5 Quantities 1990 10 100 50 1995 16 120 70 1) Calculate Laspeyres price indexes for 1995, with 1990-100, using aggregate method. 2) Calculate a current-weighted (Paasche) quantity index to measure the change in the total quantity of materials purchased between 1990 and 1995 using aggregate method.
The Ace Manufacturing Company has orders for three similar products. Orders (units) 2,200 Product A B C с 1 2 Machine 3 Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However, due to varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week and the unit costs are shown below. A A B B C с Product 1 2 3 300 1,400 Capacity (units) 1,800 1,700 800 1 Machine 2 3 $1.00 $1.30 $1.10 $1.20 $1.40 $1.00 $0.90 $1.20 $1.20
: 39% in 30m 20 CALENDAR Travel to Home Today at 11:02 PM Green Street f... Lumen... Sign In or School.. ohm Rukayat Balogun오 | User Settings My Classes Log Out ork manager ges Forums Calendar Gradebook 1:30am Fall 2018> Assessment pplications of Systems of Equations Due in 11 hours, 28 minutes. Due Fri 12/21/2018 10:00 am Monico needs to mix a 10% alcohol solution with a 50% alcohol solution to create 100 milli!eters of a 26% solution. How many millileters of each solution must Monico use? Answer: Monico must mix -milli!eters of 10% solution and milli!eters of 50% solution. Points possible: 1 Unlimited attempts License Submit on
(b) Let xij be the amount shipped from source i to destination j in a 5X5 transportation problem, and let Cij be the corresponding transportation cost per unit. The amounts of supply at sources 1,2,3,4 and 5 are 210, 150,250,190 and 150 units respectively and the demands at destinations 1,2,3,4 and 5 are 205, 220,180,180 and 165 units respectively. The cost of shipping from source 1 to destinations 1,2,3,4 and 5 are 29, 28, 31, 27 and 32 respectively. The cost of shipping from source 2 to destinations 1,2,3,4 and 5 are 26, 27, 30, 37 and 31 respectively. The cost of shipping from source 3 to destinations 1,2,3,4 and 5 are 32, 38, 29, 27 and 35 respectively. The cost of shipping from source 4 to destinations 1,2,3,4 and 5 are 33, 39, 27, 29 and 33 respectively. The cost of shipping from source 5 to destinations 1,2,3,4 and 5 are 35,31, 34, 23 and 35 respectively. (i)Find the associated optimal cost. (ii)Determine each non basic variable.
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8. Write an 800 unit energy budget for three activities: Hunting Prey (H) which costs 10 units, Scavanging (S) which costs 3 units, and Raiding (R) the food stuff of other individuals which costs 7. What is the biologically reasonable range of values for H, S and R?
3.3 4.manufactures 37-in. high def LCD tvs in 2 separate locations, Locations I and II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of tvs to the Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3000 and 4000 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 2 TMA plants to the 2 Pulsar factories are as follows. To Pulsar Factories From TMA City A City B Location I $7 $3 Location II $8 $9 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 to a minimum. (x,y)= What is the minimum cost? 6.Solve the linear programming problem by…

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