Two Variable Inequalities Kristine Heckman MAT 222 Intermediate Algebra Instructor Leah Murray November 4, 2013 TWO VARIABLE INEQUALITIES For this assignment, I am going to work with two-variable inequalities and demonstrate the practical application of these inequalities. I am going to use a graph that shows the number of TV’s on the left side and the number of refrigerators on the bottom. Of course this would mean that my x axis is the bottom, and my y axis on the left. The line shows the combination of TV’s and refrigerators that the truck can hold. The problem I am going to work on is #68 on page 539 . The 18 wheeler truck can hold 330 TV’s with no refrigerators, or 110 …show more content…
331 ≤ 330 Although it is very close, this combination of TV’s and refrigerators will not fit in the truck. Therefore, the statement is false. My second question asks if the truck will hold 51 refrigerators and 176 TV’s. Will the coordinates (51,176) fall into the shaded region of our graph? I will work this test point just as the last. 329 ≤ 330 This will be a tight fit, but all of the cargo will be able to make it onto the truck. Now I have to figure out a minimum or maximum allowance of cargo to be found. The Burbank Buy More is going to make an order which will include, at most, 60 refrigerators. What is the maximum number of TV’s that could also be delivered on the same truck? To find the answer, I will plug 60 into the x place of my inequality and solve for y. Is my inequality replace x with 60 multiply, then subtract 180 from both sides This is the maximum amount of TV’s that can be shipped with the refrigerators. For the second scenario, the Burbank Buy More decides to have a television sale so they change their order to include at least 200 TV’s. I need to figure out the maximum number of refrigerators that can be shipped in the same truck. I start with the same inequality. Replace y with 200 and solve for x Subtract 200 from each side Now I divide both sides by 3 This means that no more than 43 refrigerators can be shipped with the
Freight cost will reduce by Truck load and by using maximize the cube and also less than truck load shipment will reduce.
Problem #1: Using either a graph or table (Refer to page 22 for help with graphs and tables) use two goods to construct a production possibilities curve. Clearly explain what a variety of different points on the curve mean. What would make the curve expand or contract? Why is efficiency lost at the extremes, as when substantially more of one good and very little of another is produced?
In the unit, called cookies, I have come across many mathematical concepts when doing the math problems. Inequalities were one of the concepts. Inequalities are the relation between two equations that are not equal. One of the first things that were done was to guess and check using random numbers to find the highest number of combinations that would still make the inequalities true. Also, in this unit it reviewed how to place inequalities on number lines; the open circle in inequalities represents greater than or less than and the closed circle in inequalities shows that it is either greater than or equal to or less than or equal to.Another mathematical concept is Systems of Equations. Systems of Equations are equations you deal with altogether
This week, many topics have been discussed in class with the importance of understanding context and analyzing visual texts. On Monday, in a class discussion we read a letter from Jourdon Anderson and looking at five different cereal boxes. The letter was from an old servant, provoke the Colonel. The former “employee” Jourdon to come back and work. Instead of accepting the opportunity, Jourdan decline the offer. He didn’t want to come back to work, because he is worried for his children’s safety. Even though, he doesn’t have a good life. He rather be where he is at right now and not moving to where his former employee at. The way he talks about his life, his jobs, his family, and how he appreciated the offer is different many other letters. The reader can imagine Jourdan’s feeling, emotion when he wrote the letter, and by the words he used. The reader can imagine how his former employee will feel when he read the letter. Remember when the time I was beaten until you bowed down on my feet and pray to live? I find that this letter is very interesting.
Alistair Wu has requested that I look at what the lowest shipping schedule and cost can be based on data that he has provided. He wants to know what the lowest possible cost of shipping will can be. Mr. Wu is also considering increasing production at the Shanghai factory from 1,300 to 2,800 units, and wants to ensure that this growth will be an affordable choice. The first chart that was given lists the factory capacity and what each warehouse demand is. The second chart lists the price of shipping from each factory to each warehouse. The chart looks at the demand in the warehouses as well as the cost to
We simply represent all the nodes by $D_i$ for $ 1\le i \le D_\mathcal{D}$ and $Y_k$ refer as the transmission probability gain of the node $D_i$ and $H$ is defined as the total weight. Given the contact rates and the transmission probability gain, $Y_k$ for $ 1\le i \le \mathcal{D}$, and $H$ can readily be computed. As $Y_k$ are continuous-valued real numbers, we need to quantize these transmission probability gain to run the dynamic optimization procedure i.e.,
50 + x ≥ 150+ 0.5x Hence x ≥ 200. [x= number of circuit boards]
AAA Transportation is an interstate company that focuses on transporting wholesale products in refrigerated trailers around Midwest this company is located in Waukegan,WI. On the other hand, AAA Transportation has new owners that are planning to make some positive changes that can potentially raise the company's growth becoming more successful. The new owners want to add a delivery of nonperishable products, such as canned foods, to their delivery routes, allowing AAA to expand the area they cover and to provide expanded service to their existing customers. Taking in consideration that many of the routes do not require a full load, there would
For this assignment we are use two rockers that Ozark Furniture makes and assign variable to them then and then write a linear inequality for them. The linear inequality I will be solving is: a store faxes an order of 175 modern rocking chair and 125 classic rocking chair to Ozark Furniture and so will they be able to fill it. I will demonstrate my solution and include the mathematical work to solve it. I am going to use a graph, which I will not be able to attach to my document, but will show you how to use them and the findings. Inequality has been hard for me to understand but I hope for this
1) Initialise the reconstruction words am as per the number of quantization levels that are present for the given quantizer.
In the table the improvements only considering units shipped are highest among the letters A-D opposed to G-H. The A-D warehouses are respectively: Denver, Portland, Chicago, and Boston. The G-H warehouses are respectively: Atlanta, St. Louis, Los Angeles, and Fargo. The most impressive improvements in order from greatest to least considering shipping were for Denver, Portland, and Chicago. It is vital the company takes notice of Chicago 's improvement due to the larger volume it also held in 2012 than other warehouse locations. However, the question is comparing performance during the first five months of the years; thus, we need to look at the unit and cost analysis when comparing the shipments. Notice St. Louis cost per unit shipped is the only successful improvement. The cost for the first five months of 2012 was $9.97, that then lowered to $9.07 for the first five months of 2013. We find this information by taking the warehouse cost and dividing by the shipped units that year. For example $23,232 divided by 2,331 units makes $9.97 while caculating 2013 yeilds an improved $9.07. Other warehouses grew in cost per unit shipped during the 5 months when considering 2012 and 2013. Additionally, Denver was on strike and had 15 days
15) In an unbalanced transportation problem where total supply exceeds total demand, the supply constraints will typically have "≥" inequalities.
Freight cost was also a problem when the shipping distance expended. Both stoves and ovens were bulky and weighed well over 300 pounds each. Thus,they were very expensive to ship.Bridgewater owned a fleet of trucks which had been expanded from 5 to 10 since the addition of wood ovens to the business. Even though the fleet represented about a $2 million investment. Shipping full – load orders in compnay owned trucks was not uneconomic. But more than hald of all shipments went out in partial loads using common carriers and contract haulers. Considering traffic management.dispathing fleet costs. freignt bills. packing cost and rental charges for public warehouse space. Total shipping costs were running about 17 % of sales in 1985.
1. Relative to the U.S. distribution network, calculate the cost associated with running the existing system. Assume that 40 percent of the volume arrives in Seattle and 60 percent in Los Angeles and the port processing fee for federal processing at both locations is $5.00 per CBM. Assume that everything is transferred to the Kansas City distribution center by rail, where it is unloaded and quality checked. Assume that all volume is then transferred by truck to the nine existing warehouses in the United States.
Assume that Low’s warehouse offers to rent Low space on the basis of the average number of kegs that Low will have in stock, rather than on the maximum number of kegs that Low would need room for whenever a new shipment arrived. The storage charge per keg remains the same. Does this change the answer to Question 1? If so, what is the new answer?