MAT 222 week 2 Assignment Essay

The diagram below shows the feasible region of the intersection of two lines. This means that any point within the feasible region satisfies all constraints that we established before graphing. Feasible regions make it easier for us to determine the maximum profit and now we know all the possible combinations it’s important to know what point on the graph is going to be the most profitable.

__D___ 20. Brandon needs $480 to buy a TV and stereo system for his room. He received $60 in cash for birthday presents. He plans to save $30 per week from his part-time job. To find how many weeks w it will take to have $480, solve 60 + 30w = 480. Type your answer in the blank to the left.

In Peter Singer’s 1972 post titled “Famine, Affluence and Morality”, he conveys that wealthy nations, for example the United States, has an ethical duty to contribute much a lot more than we do with regards to worldwide assistance for famine relief and/or other disasters or calamities which may happen. In this document, I will describe Singers objective in his work and give his argument with regards to this problem. I will describe 3 counter-arguments to Singer’s view which he tackles, and after that reveal Singer’s reactions to those counter-arguments. I will explain Singer’s idea of marginal

(3 marks) c) Determine the optimal number of bus and train travelers. (2 marks) d) Say a train strike significantly reduced the number of trains available. By how much would the train capacity constraint have to fall for the optimal solution to be altered? (2 marks)

You just won a $100 shopping spree at a store that sells only DVDs and CDs. You are trying to determine what combination of these two goods would maximize your utility. The price of CDs is $10 and DVDs are $20. Below is the total utility you receive from consuming these goods.

50 + x ≥ 150+ 0.5x Hence x ≥ 200. [x= number of circuit boards]

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2. How many passenger train cars must Springfield Express operate to earn pre-tax income of $ 120,000 per month on this route?

Problem Statement: A1 Steak Sauce is a brand of Kraft Foods with little competition in the steak sauce market. The product currently has the majority dollar and volume market shares in the steak sauce market. However, unit and volume sales have remained flat. Lawry’s, which is owned by Unilever, has announced an April 1st launch of its own steak sauce. Lawry’s has approached Publix and requesting the Memorial Day ad with a 2-for-$5 price. Now Publix is telling A1 to either match Lawry’s ad or lose its place.

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.

X > 5-4 X > 1 also, X is smaller than the sum of the two sides. X < 5+4 X < 9. So, combined, X is between 1 and 9 and we write it as this compound inequality, 1 < X < 9. X cannot equal 1 and it cannot equal 9. It can equal any number between 1 and 9.

To use mathematical modelling techniques to create a picture using a combination of linear, quadratic, cubic, rational functions and circles. The picture will be reproduced using graphical software and particular attention will be paid to identification of domain of the chosen functions. (Maenpaa, M 2015).

This paper will discuss all possible graphs of a quadratic function, how to know when you have found them all, and the roles of the intercepts and coefficients and how they affect the graphing of a quadratic function (Core Curriculum math sample writing assignment).

The graph shown in question demonstrates the possible combinations of televisions and refrigerators that would fit into an 18 wheeler. The maximum number of refrigerators (x) that would fit into the space is 100. The maximum number of televisions (y) that would fit into the space is 300. For each refrigerator that is put into the space, three TVs cannot fit. The slope of the line is -3. The y-intercept for the line is 330. Therefore, the equation for the line initially appears to be is y = -3x + 330. However, there is nothing suggesting that the truck must be full. Therefore, the line represents a linear inequality, in that the total number of televisions that can be put into the space if not determined by the number of refrigerators already in the space, simply maximized by that term. Moreover, the graph is a solid line, rather than a dashed line, because the total number can include the numbers in the equation, but no numbers outside of that range.