A small barbershop is operated by a single barber. it has room for at most two customers. potential customers arrive as a poisson process with a rate of three per hour, and the successive service times are independent exponential random variables with mean 0.25 hour. find: (a) the average number of customers in the shop. (b) the proportion of potential customers that enter the shop (in the long run). (c) if the barber could work twice as fast, how much more business could he do?

During the year, the delph company had no beginning or ending inventories and it started, completed, and sold only two jobs—job d-75 and job c-100. it provided the following information related to those two jobs: job d-75: molding fabrication total direct materials cost $ 375,000 $ 325,000 $ 700,000 direct labor cost $ 200,000 $ 160,000 $ 360,000 machine-hours 15,000 5,000 20,000 job c-100: molding fabrication total direct materials cost $ 300,000 $ 250,000 $ 550,000 direct labor cost $ 175,000 $ 225,000 $ 400,000 machine-hours 5,000 25,000 30,000delph had no overapplied or underapplied manufacturing overhead during the year. assume delph uses a plantwide overhead rate based on machine-hours.1-a. compute the predetermined plantwide overhead rate.1-b. compute the total manufacturing costs assigned to job d-70 and job c-200.1-c. if delph establishes bid prices that are 150% of total manufacturing costs, what bid price would it have established for job d-70 and job c-200? 1-d. what is delph's cost of goods sold for the year? assume delph uses departmental overhead rates based on machine-hours.2-a. compute the predetermined departmental overhead rates.2-b. compute the total manufacturing costs assigned to job d-70 and job c-200.2-c. if delph establishes bid prices that are 150% of total manufacturing costs, what bid price would it have established for job d-70 and job c-200? 2-d. what is delph's cost of goods sold for the year?