An allergy products superstore sells 500 of their most popular model of air filters each month. The cost of ordering and receiving shipments is $20 per order. Accounting estimates that annual inventory holding cost is $6. The store operates 240 days per year (operating days). The supplier lead time is 2 operating days. Each order is received from the supplier in a single delivery. There are no quantity discounts. a. What quantity should the store order with each order?
b. How many times per year will the store order?
c. How many operating days will elapse between two consecutive orders?
d. What is the reorder point if the company wishes to carry a safety stock of 10 filters?
e. Suppose the lead time is 3 operating days, and that the superstore wishes to maintain in- stock probability of 90%. The demand in each day is normal distributed with standard deviation 10, and the demands cross 3 days are independent. What is the re-order point? The z-score for 0.9 is 1.28.
f. What is the store's minimum total annual cost of placing orders & carrying inventory?

After graduation, you plan to work for dynamo corporation for 12 years and then start your own business. you expect to save and deposit $7,500 a year for the first 6 years (t = 1 through t = 6) and $15,000 annually for the following 6 years (t = 7 through t = 12). the first deposit will be made a year from today. in addition, your grandfather just gave you a $32,500 graduation gift which you will deposit immediately (t = 0). if the account earns 9% compounded annually, how much will you have when you start your business 12 years from now?

Laval produces lamps and home lighting fixtures. its most popular product is a brushed aluminum desk lamp. this lamp is made from components shaped in the fabricating department and assembled in the assembly department. information related to the 22,000 desk lamps produced annually follows.direct materials $280,000direct labor fabricating department (8,000 dlh × $24 per dlh) $192,000assembly department (16,600 dlh × $26 per dlh) $431,600machine hours fabricating department $15,200mhassembly department $20,850mhexpected overhead cost and related data for the two production departments follow.fabricating assemblydirect labor hours 150,000dlh 295,000dlhmachine hours 161,000mh 128,000mhoverhead cost $400,000 430,000required1. determine the plantwide overhead rate for laval using direct labor hours as a base.2. determine the total manufacturing cost per unit for the aluminum desk lamp using the plantwide overhead rate.3. compute departmental overhead rates based on machine hours in the fabricating department and direct labor hours in the assembly department.4. use departmental overhead rates from requirement 3 to determine the total manufacturing cost per unit for the aluminum desk lamps.

Advanced enterprises reports year-end information from 2018 as follows: sales (160,250 units) $968,000 cost of goods sold 641,000 gross margin 327,000 operating expenses 263,000 operating income $64,000 advanced is developing the 2019 budget. in 2019 the company would like to increase selling prices by 14.5%, and as a result expects a decrease in sales volume of 9%. all other operating expenses are expected to remain constant. assume that cost of goods sold is a variable cost and that operating expenses are a fixed cost. should advanced increase the selling price in 2019?