Consider an inventory process flow in which shipments of 10,000 items arrive every 50 days, and customers demand 200 units every day. Assume customers order continuously and smoothly throughout each day. In addition, assume 350 days per year. 1. (a) Assume that INV(0)=0. Draw INV(t) over time, this is often called a "zig-zag" or "saw-tooth" diagram when done for an inventory process flow. (b) Suppose the firm incurs a $40,000 delivery charge every time a shipment is received. What is the total annual cost of deliveries. (c) Suppose it costs $0.25 per day per unit held in inventory. What is the total annual cost of holding inventory?

Calvin works at a facility which processes apples. it costs the facility $0.68 to make either a jar of applesauce or a bottle of apple juice. due to the nature of the process and contractual agreements, calvin's facility must make and sell three jars of applesauce for every two bottles of apple juice. a jar of applesauce sells for $2.20, and a bottle of apple juice sells for $3.15. if the facility has annual overhead costs of $368,500, not including production costs, how many bottles of apple juice will the facility have sold when it breaks even every year? round to the nearest whole bottle, if necessary.

The production manager of rordan corporation has submitted the following quarterly production forecast for the upcoming fiscal year: 1st quarter 2nd quarter 3rd quarter 4th quarter units to be produced 10,800 8,500 7,100 11,200 each unit requires 0.25 direct labor-hours, and direct laborers are paid $20.00 per hour. required: 1. prepare the company’s direct labor budget for the upcoming fiscal year. assume that the direct labor workforce is adjusted each quarter to match the number of hours required to produce the forecasted number of units produced. 2. prepare the company’s direct labor budget for the upcoming fiscal year, assuming that the direct labor workforce is not adjusted each quarter. instead, assume that the company’s direct labor workforce consists of permanent employees who are guaranteed to be paid for at least 2,500 hours of work each quarter. if the number of required direct labor-hours is less than this number, the workers are paid for 2,500 hours anyway. any hours worked in excess of 2,500 hours in a quarter are paid at the rate of 1.5 times the normal hourly rate for direct labor.

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.