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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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?
suppose Gabe , an elementary school student , has just finished dinner with his mother , judy. Eyeing the nearby cookie jar, Gabe asks his mother if he can have cookie foe dessert. She tells Gabe that she needs to check his backpack to make sure that he finished his homework. Gabe cannot remember where he left his backpack, but he knows for sure that he did not complete his homework and will not be allowed to eat a cookie. Gabe believes his only option is to quickly steal a cookie while his mother is out of the room. Judy then leaves the room to look for Gabes backpack. Assume that judy could return at any time in the next 60 seconds with equal probability . For the first 20 seconds, Gabe sheepishly wonders if he will get caught trying to grab a nearby cookie. After waiting and not seeing his mother , Gabe decides that he needs a cookie and begins to take one from the jar. Assuming it takes Gabe 30 seconds to grab a cookie from the jar and devour it without a trace, what is the…
A manufacturer of projection TVs must ship a total of at least 1000 TVs to its two central warehouses, x to the first warehouse and y to the second warehouse. Each warehouse can hold a maximum of 750 TVs. The first warehouse already has 150 TVs on hand, whereas the second has 50 TVs on hand. It costs $6 to ship a TV to the first warehouse, and it costs $18 to ship a TV to the second warehouse. How many TVs should be shipped to each warehouse to minimize cost? (х, у) %3 What is the minimum cost?
Acme Block Company has orders for 80 tons of concrete blocks at three suburban locations as follows: Northwood-25 tons Westwood-45 tons Eastwood-10 tons Acme has two plants, each of which can produce 50 tons per week. Delivery cost per ton from each plant to each suburban location is as follows: Northwood Westwood Eastwood Plant 1 Plant 2 1 24 30 Which one is a correct constraint? A. X11+X12+X13 = 10 OB. X11+X12+X13 ≤ 25 OC X11+X12+X13 = 45 OD. X₁1+X12+X13 ≤ 50 30 40 ہے 40 42
The United States can surely develop and implement policies which ensure border security while protecting the liberties of those who reside within the country. For starters, the Federal Government can continue funding the wall which was being built at the Southwest Border. This wall can span a large majority of the Southwest Border and safeguard areas in between border crossings and ports of entry. This wall will be used as a deterrence to keep illegal immigrants from simply walking across the border unimpeded, and force more foot and vehicle traffic through the border crossings, ports of entry, and areas which aerial surveillance can be more largely focused.
People with O-negative blood are called “universal donors” because O-negative blood can be given to patients with any blood type. However, only about 6% of people have O-negative blood, which presents a challenge in balancing supply and demand made more complicated not only by the logistics of finding donors that meet health criteria, but also by the fact that the blood type of donor and patient must be matched. This is especially true, since, unlike a manufacturer who can balance supply by planning to produce or to purchase more or less of a key item, blood supply from volunteer donors show up more-or-less at random (at least in terms of blood type). Thus, modeling the arrival of samples with various blood types helps humanitarian organizations, such as the Philippine Red Cross, to plan their blood allocations. Of the next 20 donors to arrive at Philippine Red Cross, how many universal donors can be expected? (Answer in 1 decimal place) What is the standard deviation of the number of…
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
An automobile company produces cars in Los Angeles and Detroit and has a warehouse in Atlanta.The company supplies cars to customers in Houston and Tampa. The costs of shipping a car betweenvarious points are listed in the table below, where a blank means that a shipment is not allowed. LosAngeles can produce up to 1100 cars, and Detroit can produce up to 2900 cars. Houston must receive2400 cars, and Tampa must receive 1500 cars. (Include your formulations to receive credit. Thinkcarefully about the transhipment locations.) (a) Determine how to minimize the cost of meeting demands in Houston and Tampa. (b) Modify the answer to part (a) if shipments between Los Angeles and Detroit are not allowed. (c) Modify the answer to part (a) if shipments between Houston and Tampa are allowed at a cost of$5 per car.

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