Personal Protective Equipment (PPE) for electrical work includes flame-resistant clothing, arc-rated gloves, and face shields.

Electrical tools must be grounded to reduce the risk of electrical shock.

Tamara’s coach reminds the team not to eat for several hours before the basketball game because the digestive process will be slowed down due to the intense activity. Which of the following aspects of the peripheral nervous system is directly responsible for slowing down digestive processes during the game?

Kara thinks she sees a spider on the floor of her bathroom. She is extremely afraid of spiders. Upon further inspection, though, she realizes the “spider” is only a ball of hair. Which of the following nervous systems would be responsible for calming her down after she realizes the ball of hair is not a spider?

Changes in Physiology   Pupils Increases Heart rate Increases Salivation Decreases Digestion Decreases The physiological changes in the table most clearly represent activation of which of the following?

Pacific-Gulf Oil Company is faced with the problem of refining three petroleum components into regular and premium gasoline in order to maximize profit. Components 1 and 2 are pooled in a single storage tank and component 3 has its own storage tank. Regular and premium gasolines are made from blending the pooled components and component 3. Prices per gallon for the two products and three components, as well as product specifications, are listed below. Table: Prices Per Gallon    ProductPrice Per Gallon   Regular gasoline$2.80   Premium gasoline$3.10   Component 1$2.40   Component 2$2.50   Component 3$2.75   ​Table: Specifications   ProductSpecificationsRegular gasolineAt most 25% component 1Regular gasolineAt least 40% component 2Regular gasolineAt most 30% component 3Premium gasolineAt least 30% component 1Premium gasolineAt most 50% component 2Premium gasoline    At least 25% component 3   ​The maximum number of gallons available for each of the three components is 4000, 8000, and 8000, respectively. Formulate a nonlinear program to determine: 1) what percentages of component 1 and component 2 should be used in the pooled mixture, and 2) how to make regular and premium gasoline by blending the mixture of components 1 and 2 from the pooling tank with component 3.Define the decision variables (8 points).Define the objective function (8 points).Define the constraints (16 points).

The Eastern Washington County School Corporation is interested in comparing educational performance at two elementary schools (East and West) and has hired you to prepare a DEA model to do so. After detailed conversations with the corporation administrative staff and the building principals, you have isolated the following input and output measurements:   Input Measures Output Measures   Classroom size  % remediation   % reduced lunch  1st grade score  Data is collected for each school on each measureInputs/Outputs     East West   Inputs          Classroom size 21 28      % reduced lunch 10 8           Outputs          % remediation 15 12      1st grade score 83 84        Formulate a linear programming model so that DEA can be used to evaluate the educational performance of East elementary school.Define the decision variables (9 points)Formulate the objective function (3 points) Define the constraint (18 points)

A manager of a new production facility is considering to decide whether to open one, two, or three production assembly lines. She estimates that profits next year (in thousands of dollars) will vary with demand for her product and has estimated demand in three categories low, medium and high.Decision Alternative: # of production linesState of Nature: Demand is LowState of Nature: Demand is MediumState of Nature: Demand is highOne160280210Two0180230Three-200380980a.  If she feels the chances of low, medium, and high demand are 35%, 25%, and 40% respectively, what are the expected annual profits for one beautician she will decide to hire? b.  If she feels the chances of low, medium, and high demand are 35%, 25%, and 40% respectively, what are the expected annual profits for two beauticians she will decide to hire? c.  If she feels the chances of low, medium, and high demand are 35%, 25%, and 40% respectively, what are the expected annual profits for three beauticians she will decide to hire? d.  If she feels the chances of low, medium, and high demand are 35%, 25%, and 40% respectively, what is her expected value of perfect information? 

Financial planner Minnie Margin has a substantial number of clients who wish to own a mutual fund portfolio that matches, as a whole, the performance of the Russell 2000 index. Her task is to determine what proportion of the portfolio should be invested in each of the five mutual funds listed below so that the portfolio most closely mimics the performance of the Russell 2000 index. Formulate the appropriate nonlinear program.​   ​Annual Returns (Planning Scenarios)   Mutual FundYear 1Year 2Year 3Year 4   International Stock22.3726.734.862.17   Large-Cap Value15.4819.6411.50-5.25   Mid-Cap Value17.4220.07-4.97-1.69   Small-Cap Growth23.1812.363.253.81   Short-Term Bond 9.26 8.81 6.15 4.04   Russell 2000 Index20.0022.00 8.00-2.00Define the decision variables (10 points).Define the objective function (10 points).Define the constraints (10 points).

Two one-barber shops (i.e., barber shop 1 and shop 2) sit side by side in the Memorial Union. Each shop can hold a maximum of 3 people, and any potential customer who finds a shop full will not wait for a haircut. Baber 1 charge $20 per haircut and takes an average of 20 minutes to complete a haircut. Barber 2 charges $10 per haircut and takes an average of 10 minutes to complete a haircut. On average, 6 potential customers arrive per hour at each barber shop. Of course, a potential customer becomes an actual customer only if he or she finds that the shop is not full. Assuming that arrival follows Poisson Distribution and haircut time is exponential distributed. (must show all your work)What is the probability that there are no customers in the barber shop 1?What is the enter rate in barber shop 1?How much money barber 1 makes per hour?