Explanation of Solution
Given:
Let
Objective function:
The processor 1 that runs for 1 hour requires 2 barrels of crude oil 1 and 3 barrels of crude oil 2 and the output of process 1 for one hour produces 2 barrels of gas 1 and 1 barrel of gas 2.
The processor 2 that runs for 1 hour requires 2 barrels of crude oil 1 and 3 barrels of crude oil 2 and the output of process 2 for one hour produces 3 barrels of gas 2.
The process 3 that runs for 1 hour requires 2 barrels of crude 2 and 2 barrels of gas 2 and the output of process 3 for one hour produces 2 barrels of gas 3.
The revenue from the gas 1 is sold for $9 and the revenue from gas 3 is sold for $24 is
Considering the constraints,
Constraint 1: Total oil 1 used in process 1 and 2.
Constraint 2: Total oil 2 used in process 1,2 and 3.
Constraint 3 and 4: Each week, 200 barrels of crude oil 1 and 300 barrels of crude oil 2 must be purchased.
Constraint 4: Production gas 2 will be equal to the gas 2 sold and gas 2 used in 3 that have been produced by process 1 and 2 by using the amount of gas 2 produced and from each process.
Constraint 6: Each week, 100 hours of time catalytic crackers are available.
Expressing the constraint 1 in terms of
Expressing the constraint 2 in terms of
Trending nowThis is a popular solution!
Chapter 3 Solutions
Operations Research : Applications and Algorithms
- Calculate the COPT for system including following unit is: Unit No Capacity (MW) FOR 0.03 1 25 2 25 0.03 3 50 0.05arrow_forwardA petroleum cut has the following TBP Distillation data: Volume % distillate 0 10 30 50 70 90 95 Temperature C 71 85 125 150 175 200 225 Calculate the a) Molal Average Boiling Point (MABP) b) mean average boiling points (MeABP)arrow_forwardWrite a script that will create 10,000 random resistors with a normal distribution, a mean of 100 ohms, and standard deviation of 15 ohms. Perform the following operations with the resistor data using logical vectors where appropriate. Output the total number of resistors created along with their actual mean and standard deviation as they will differ slightly from the values given. Output the percentage of resistor with values > mean and < mean. • Output the percentage of resistors within +/- 1 Standard Deviation of the mean. • Repeat step 3 for +/- 2 Standard Deviations and +/- 3 Standard Deviations. • Output the resistor position numbers and the corresponding resistor values for all resistors outside of +/- 3 standard deviations of the mean. • Name the program file Program_05_2.m • Your output should match the output shown below. Add the standard comments similar to those that appear at the top of each tutorial and clearly label your output following the example shown below.arrow_forward
- A battery with Ɛ = 3.00 V and no internal resistance supplies current to the circuit shown in the figure below. When the double-throw switch S is open as shown in the figure, the current in the battery is 1.09 mA. When the switch is closed in position a, the current in the battery is 1.22 mA. When the switch is closed in position b, the current in the battery is 2.02 mA. Find the following resistances. R SR, R2 S (a) R, (b) R2 | kΩ (c) R3 Need Help? Read Itarrow_forwardPROBLEM 9 The Darby Company manufactures and distributes meters used to measure electric power consumption. The company started with a small production plant in El Paso and gradually built a customer base throughout Texas. A distribution center was established in Fort Worth, Texas, and later, as business expanded, a second distribution center was established in Santa Fe, New Mexico. The El Paso plant was expanded when the company began marketing its meters in Arizona, California, Nevada, and Utah. With the growth of the West Coast business, the Darby Company opened a third distribution center in Las Vegas and just two years ago opened a second production plant in San Bernardino, California. Manufacturing costs differ between the company's production plants. The cost of each meter produced at the El Paso plant is $10.50. The San Bernardino plant utilizes newer and more efficient equipment; as a result, manufacturing costs are $0.50 per meter less than at the El Paso plant. Due to the…arrow_forwardtraffic light is installed at a junction of a railroad and a road. the traffic light is controlled by two switches in the rails placed one mile apart on either side of the junction. a switch is turned on when the train is over it and is turned off otherwise. the traffic light changes from green (logic 0) to red (logic 1) when the beginning of the train is one mile from the junction. the light changes back to green when the end of the train is one mile away from the junction. all trains are less than 2 miles long. Draw circuit diagramarrow_forward
- A motor runs when the start button is pressed and the following conditions are satisfied .Safety door is closed The level of the liquid in the tank is above a X .certain level The motor stops and a lamp is to glow if any of the following conditions occur .The stop button is pressed K .The safety door is opened X .The liquid level is below the satisfactory level X The lamp stops glowing when the motor starts. One signal triggers an alarm bell and another one causes a flash-lamp to start flashing (on/off) when a fault occurs in the motor. The bell stops when the operator acknowledges the alarm, but the lamp continues to flash until the fault is .removed The designer needs for ...... state boxes for drawing the ASM-chart for the controller of the aforementioned system O 7 9 10 8 6 Oarrow_forwardwrite python program which solve this problem; Consider a conductive bar with k = 5 and a length of 20 cm. Assume that one end is on the origin and the bar is located along the x-axis. Also assume that the charge density is 4 C/cm at point x=5cm and charge density -4 C/cm in the center of the bar and -4 c/cm at point x=15cm. If we assume that the two ends of the rod are quesi-potential and have a contract potential are 10 volts, calculate the amount of potential along the rod and at distances of 5.2 mm from each other using the method Jacobie and Gauss-Zeidel) notw: Suppose you work in all units &.= l 0/10arrow_forwardQuestion 333 Assume a 15 cm diameter wafer has a cost of 12, contains 84 dies, and has0.020 defects/cm?. Assume a 20 cm diameter wafer has a cost of 15, contains 100dies, and has 0.031 defects/cm?. Find the cost per die for both wafers. Full explain this question and text typing work only thanksarrow_forward
- Computer Engineering Calculate Critical path, Total float, Free float, Independent float Find forward pass and backward pass also Draw network diagramarrow_forwardA single-station machine has a production rate of 1.1 part per minute and a process variance of 4 min2 1- The system is run as a push system such that a job is pushed to the station exactly every 1.5 minute. Calculate the average cycle time and the average number of parts in the system.arrow_forwardAnalysis the wiring of a house circuit having fluorescent labs, incandescent lamp and a single phase motor is supplied from a 230 V, 50 Hz single-phase supply. The load details: (i) fluorescent lamps taking a current of 8 A at a power factor of 0.9 leading, (ii) incandescent lamps taking a current of 6 A at unity power factor, (iii) a motor taking a current of 12 A at a power factor of 0.65 lagging. Determine the total current taken from the supply and the overall power factor. Find also the value of a static capacitor connected in parallel with the loads to improve the overall power factor to 0.98 lagging. Illustrate the solution with relevant phasor diagram.arrow_forward
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks ColeC++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning