An m/m/5 system has an arrival rate of 19 customers per hour. Each server has a service rate of 12 customers per hour. a. what is the utilization factor for this system? (round your answer to 3 decimal places) b. if all servers are kept busy, how many services will be completed per hour? (round your answer to the nearest whole number)

Safety regulations require that the time between airplane takeoffs (on the same runway) will be at least 2 minutes. When taking off, the run time of an airplane on the runway is 48 seconds. Planes are on average waiting 5 minutes and 30 seconds for takeoff. On average there are 16 planes taking off per hour. How many planes are either on the runway or waiting to take off? Note: Round your answer to 2 decimal places.

A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars)           kWhkWh 25 30 35 40 cost (dollars)cost (dollars)         (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form   f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…

For letter B please plug in the number 6

A furniture shop refinishes tables. Employees use two methods to refinish tables. Method I takes 1.5 hours and the material costs $10. Method II takes 2.5 hours, and the material costs $6. Next week, they plan to spend 280 hours in labor and $928 in material for refinishing tables. How many tables should they plan to refinish with each method? (Round to two decimal places if necessary.) Answer How to enter your answer (opens in new window) the number of tables refinished using Method I the number of tables refinished using Method II Keypad Keyboard Shortcuts