show work please

1. Determine the a) utilization (5points) and the b) efficiency (5 points) for this situation: A loan processing operation that processes an average of 15 loans per day. The operation has a design capacity of 20 loans per day and an effective capacity of 17 loans per day. 2. A producer of pottery is considering the addition of a new plant to absorb the backlog of demand that now exists. The primary location being considered will have fixed costs of $9.400 per month and variable costs of 75 cents per unit produced. Each item is sold to retailers at a price that averages 95 cents. a) What volume per month is required in order to break even? (5 points) b) What volume is needed to obtain a profit of $10,000 per month? (5 points) c) What profit would be realized on a monthly volume of 65,000 items? (10 b pints) a d h i f 3. A firm intends to increase the capacity by adding a new machine. Two alternatives, A and B have been identified, and the associated coss and revenues have been estimated. Annual fixed costs would be $100,000 for A and S120,000 for B: variable costs per unit would be $54 for A and S50 for B, and revenue per unit would be $65. a) At what volume of output would the two alternatives yield the same profit? (10 Points) 4. A manager wants to assign tasks to workstations as efficiently as possible and achiever an hourly output of four units. The department uses a working time of 56 minutes per hour. Assign the tasks shown in the precedence diagram (times are in minutes) to workstations using the following rules: a. In order of most following tasks. Tiebreaker: greatest positional weight (10 points) Pessionale Task Number Following Ta b. Determine the cycle time for this operation (5 points) c. Determine the number of workstations for the operation (5 points)