Formulate the DUAL of the following LP problem showing all the steps: MIN Z=10 y,+3 y,+by,-7 y,+dy,-9 y,2h-5y,+8 y,-2 y,2d-6 y, +4 y,+5 y,<5y1, y2 Y320

Given: Min Z=10y1+3y2+by3-7y1+dy2-9y3≥h-5y1+8y2-2y3≥d-6y1+4y2+5y3≤5y1, y2, y3≥0

Answered: MIN Z=10 y, +3 y, +by, -7 y, +dy,-9…

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MIN Z=10 y, +3 y, +by, -7 y, +dy,-9 y,2h -5y,+8 y,-2 y,2d -6 y, +4 y,+5 y,s5 Y, Y2 Y20

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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Change this LP problem (e.g., money, time, or number of batches), so that it has at least two whole number solutions: A bakery makes both chocolate cakes and almond cookies. Each batch of cakes requires 2hours in the oven and 3hours into decorating room. Each batch of cookies requires 1hour and 30 minutes in the oven and 30 minutes into the decorating room. The oven is available no more than 15hours per day, and the decorating room can be used no more than 13hours per day. The Daily profit from production of one batch of cakes is $50 and one batch of cookies is $15. How Many batches of cakes and cookies should be produced daily in order to maximize bakery's profit?
Assignment 9: Problem 4
Research has shown that losing even one night's sleep can have a significant effect on performance of complex tasks, such as problem solving (Linde & Begrstroem, 1992). To demonstrate this phenomenon, one sample of n=25 college students was given a problem-solving task at noon on one day and again at noon on the following day. The students were not permitted any sleep between the two tests. For each student, the difference between the first and second scores was recorded. For this sample, the students averaged MD=4.7 points better on the first test with a variance of s^2=64 for the different scores. 1. State the hypotheses both experimental and statistical. 2. Do the data indicate a significant decline in problem-solving ability? Use a one-tailed test with a=.01. Please show work and state your decision regarding the H0. 3. Compute a 90% Confidence Interval (upper and lower values). 4. State your conclusion in APA format.
PROBLEM 03: The Jokia Cell Phone Company manufactures two models of cell phones - the Wombat and the Sloth. Each Wombat phone uses 2.5 ounces of gold leaf and 3 ounces of plastic, whereas each Sloth phone uses 2 ounces of gold leaf and 2 ounces of plastic. Each day, the company has only 370 ounces of gold leaf and 420 ounces of plastic to be used for making cell phones. If the company makes the correct number of each type of phone on a given day to use up all of the available gold leaf and plastic, how many Wombat phones will be made? A) 60 B) 100 C) 50 D) 90 E) 110 N) none of the above
Answer : 15/4 (show solution)
Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon Delta fraternity is instructed to tag all the frogs residing on the ESU campus. Two years ago (t = 0) they managed to tag all 42,000 of them (with little Epsilon Delta Fraternity tags). This year's pledge class discovered that all the tags had fallen off, and they wound up tagging a total of 63,000 frogs. (a) Find an exponential model for the frog population. f(t) = (b) Assuming exponential population growth, and that all this year's tags have fallen off, how many tags should Epsilon Delta order for next year's pledge class? (Round your answer to the nearest integer.) tags
Let's create a mathematical model for the following problem: A chemical company produces a chemical mixture for a customer in 1,000-pound batches. The mixture contains three components: mercury, zinc, and potassium. The mixture must meet specific formula specifications provided by the customer. The company wants to determine the amount of mixture that can meet all requirements and minimize the total cost. The customer provides formula specifications for each batch of the mixture as follows: The mixture must contain at least 200 pounds of mercury. The mixture must contain at least 300 pounds of zinc. The mixture must contain at least 100 pounds of potassium. The cost per pound for mercury is $4, for zinc is $8, and for potassium is $9.
Set up an equation and solve each of the following problems. An inlet pipe can fill a tank (see Figure 4.1) in 10 minutes. A drain can empty the tank in 12 minutes. If the tank is empty, and both the pipe and drain are open, how long will it take before the tank overflows?
Question 3Bob is a young entrepreneur who recently graduated from UPSA and using three different ingredient (flour, sugar and butter) to produce three different kinds cakes namely Boban, Boapp and Bopine to be supplied to a pastries store at Shoprite. In order to produce a dozen cakes of Boban requires 5g each of flour, sugar and butter. Also, producing Boapp requires 15g each of butter and sugar together with 20g of flour while producing Bopine requires 15g each of sugar and flour, and 20g of butter. In any particular day, the company has a total of 17500g, 16000g and 18500g of butter, sugar and flour available respectively.(a) Write three linear equations and hence form a matrix to represent the above problem (b) Determine the number dozens of cakes of each brand of cakes that should be produced from the available raw materials using matrix inversion
Question 2 Ana and Beverly, produce the same product on identical machines. Ana receives $25 per hour and produces 100 units per hour. Beverly is able to produce 140 units per hour. The machine rate or cost of operation used by them is $100 per hour. The cost per piece of Ana's product is $ Blank 1 per piece. The hourly wage of Beverly in order that her cost per piece will equal that of Ana is $ Blank 2 per hour. Note: No need to type the UOM (Unit of Measure). Show answer (round off) to two decimal places. Blank 1 Add your answer Blank 2 Add your answer