Operation Research Homework Help

1: Determine if the following problems are bounded or unbounded and then determine if they are feasible or infeasible (5pts each):

In 2018, a water features specialist contractor had three people injured at work. a) Calculate the company's lost time injury frequency rate b) State all interpretations for LTIFR

Problem 2: Durability versus efficiency improvements in newer products In minimizing the environmental footprints of products, there is a tension between product durability and rapidly replacing older products with newer products that have less environmental impact associated with their use. Consider the question - when is it most energy efficient to replace my vehicle? a. The production of a 1995 vehicle consumed 125,000 MJ of energy, and that the energy intensity of the materials used in manufacturing automobiles (energy required per kg of material) decreases by 1-2% per year. Assuming that the energy intensity of automobile manufacturing decreased by 1.5% per year between 1990 and 2010, calculate the energy required to produce a new automobile during the model years 1990, 2000, 2005 and 2010.(What mathematical equation takes into a percent change each year, based on each previous year?) b. The projected average fuel economy of light-duty automobiles is expected to increase from27.5 to 32.5 miles/gallon (or mpg) between 1990 and 2020. Assume that this increase occurs in step changes, with an average fuel economy of 27.5 mpg between 1990 and 1999,30 mpg between 2000 and 2009, and 32.5 mpg between 2010 and 2019.

2. For the following product structure: a) Develop all the Bills of Material tables. b) Find the number of units of each of the raw materials (R's), components (C's),and subassemblies (S's) that are needed to make one unit of product P.

What do we mean by an Operations Research (OR) model? And what are the various elements of such model?

2. Developing a contingency plan is part of which risk management activity? а.Risk identification b. Risk control С.Risk assessment d. Asset classification e. Risk register

5. A drug company sells three different formulations of vitamin complex and mineral complex. The first formulation consists entirely of vitamin complex and sells for $1 per unit. The second formulation consists of 3/4 of a unit of vitamin complex and 1/4 of a unit of mineral complex and sells for $2 per unit. The third formulation consists of 1/2 of a unit of each of the complexes and sells for $3 per unit. If the company has 100 units of vitamin complex and 75 units of mineral complex available, how many units of each formulation should the company produce as to maximize profit? Write down the corresponding LP, and solve it by using Theorem 22 and 23.

The Continuing Education Division at the Ozark Community College offers a total of 30 courses each semester. The courses offered are usually of two types: practical and humanistic. To satisfy the demands of the community, at least 10 courses of each type must be offered each semester. The division estimates that the revenues of offering practical and humanistic courses are approximately $1500 and $1000 per course, respectively. Develop an optimization model that can be used to find the optimal course offering plan.

Wild West produces two types of cowboy hats. Type I hat requires twice as much labor as aType II. If all the available labor time is dedicated to Type II alone, the company can produce a total of 400 Type II hats a day. The respective market limits for the two types ofhats are 150 and 200 hats per day. The profit is $8 per Type I hat and $5 per Type II hat.The company should produce at least 100 cowboy hats (regardless of the type). Develop a reasonable mathematical model that can determine the number of hats of each type.

3.5-3. Ed Butler is the production manager for the Bilco Corpora- tion, which produces three types of spare parts for automobiles. The manufacture of each part requires processing on each of two machines, with the following processing times (in hours):