Architecture In the fire escape, mz1 = (17x+ 9)", m2 (14x + 18)°, and x 3. Show that the two landings are parallel. %3D

The research department at a manufacturing company has developed a new process that it believes will result in an improved product. Management must decide whether to go ahead and market the new product. The new product may or may not be better than the old one. If the new product is better and the company decides to market it, sales should increase by $70,000. If it is not better and they replace the old product with the new product on the market, they will lose $25,000 to competitors. If they decide not to market the new product, they will lose a total of $60,000 if it is better and just research costs of $20,000 if it is not. Complete parts (a) and (b) below. (a) Prepare a payoff matrix. □ (Type an integer or decimal for each matrix element. Do not include the $ symbol in your answer.)

The River is a literary magazine published by the English Department at Tech. It has a 70-year history and enjoys an excellent reputation for providing a literary outlet for aspiring Appalachian writers in particular. However, its sales, mostly through independent bookstores and college libraries, have never been very large. Several years ago, the magazine’s advisory board decided to create a Web site and post the bi-monthly issues online for free access. Due to poor economic conditions and state budget cuts, Tech recently withdrew funding for the magazine, and in order to make up for this financial loss, the magazine’s staff has decided to try to sell advertising (especially to local and regional businesses) on the magazine’s Web site. In order to sell advertising, the magazine’s staff would like to be able to provide potential advertisers with a forecast of the number of “visits” the Web site might receive in future months. Following is the number of monthly visits the Web site has…

What would it imply to have an unbalanced transportation system, and how can you go about resolving it?

You are opening a plant that will manufacture widgets (w) and gizmos (g). The widget machines cost $10,000 each. They each require 4 operators and 500 square feet o space. The gizmo machines each cost $6,000 ard require 6 operators and 500 square feet of space. Your new plant has 40,000 square feet of space available for the machines. HR estimates that you will be able to hire 460 operators to run the machines. Your budget for buying machines is $660,000. a) List all 5 constraints. b) List the coordinates of the corners of the graph in (g,w) form. (We cannot buy a fraction of a production machine. If the corners are not whole numbers, give the closest whole number coordinates along each constraint line.) c) Given the following estimated profits per hour per machine in each scenario, how many of each type of machine should you buy? What will be your profit per hour at tha Profit per Maximum Profit per Widget Number of Gismos Number of Widets Gizmo Profit $99 $98 $78 $120 $265 $103 ts…

Identify two problems with the following question. Explain how you would rewrite it so that it is more appropriate.given that youth crime is on the rise in urban areas, what should be the top enforcement priority for our local police force? which one is correct answer? 1.youth crime 2.car theft 3.illegal drug use 4.violent crime

Among the assumptions for the formulation of an LP problem, there us linearity. What does it mean in practice, and why is it important?

In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). The table shows the number of inches of rainfall and the yield (in bushels per acre). Use for problem #17 and #18. Rainfall (in inches), x 9.8 8.1 12.7 11.8 18.1 9.6 6.3 14.9 15.3 Yield (bushels per acre), y 48.5 44.2 56.8 57 80.4 47.2 29.9 74 76.8 17. Compute the linear correlation coefficient between the two variables above. (Round to thousandths.) 18. Determine whether a linear relation exists. (Show work to justify answer.)

For the remainder of this question, we will consider one of the world's most popular video games, Minecraft (adapted from Mills & Mills, 2016). In this game, the character (you) can attempt to tame a wolf with a bone. Assume that you get 9 tries to tame the wolf, i.e. there are 9 bones. Each time you tame the wolf, the wolf becomes a dog and a new wolf appears which you can then attempt to also tame. This continues until you have used up all 9 bones, and the goal is to end up with as many dogs as possible at the end of the game. The probability of taming the wolf with each attempt is fixed at 0.54. Let X denote the number of dogs at the end of the game so that X~ BIN (9,0.54). Assume you are about to play the game. 15. The probability that you will tame some number a or less dogs is 0.66144. What must be (round to the nearest whole number)?