Which circuit type hаs the sаme vоltаge applied tо each lоad?
Twо оne-bаrber shоps (i.e., bаrber shop 1 аnd 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?
Pаcific-Gulf Oil Cоmpаny is fаced with the prоblem оf 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).