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- 1. A donut store is open 8 hours a day and sells two types of donuts: blueberry cake donut and chocolate frosted donut. On average, the demand is 80 donuts per day for EACH type. The store has only one machine, which makes both types, and once it starts, it produces one donut every 2 minutes for either type. The production alternates between the two types, i.e., a batch of one type is followed by a batch of the other. The setup time is 20 minutes for either type. If the batch size is 10 donuts per batch, what is the capacity per day for each type of donut? If the batch size is 20 donuts per batch, what is the capacity per day for each type of donut? What is the minimal batch size in order to satisfy demand for both types? If the setup time is 8 minutes for either type, and the batch size is 20 donuts per batch, what is the capacity per day for each type of donut? (You can assume that at the end of the day, any unfinished production of the last batch can be resumed immediately…The following data pertains to Slide Corp.’s: (use 360 days/year) Slide Corp.’s payment to suppliers Slide Corp.’s collection from customers Processing Delay 4 days Processing Delay 2 days Clearing Delay 1 day Clearing Delay 24 hours Mail time 1 week Mail time 4 days Slide Corp.’s daily collection average P1,800 while average daily payment is P2,700. How much is the average daily disbursement float? How much is the average daily collection float? How much is the net float? If the cash can be readily invested in instrument earning 6%, how much is the daily cost of collection float?List the system of inequalities which describe B in the graph below.ECON1003 Mathematics for Social Sciences Unit 3_Version 1 Page 33 6. Anya’s Jeans has production process organized in threedistinct stages: cutting; sewing and finishing. She produces threetypes of jeans, namely peddle-pushers, hipsters and low cuts. Thenumber of minutes each type requires in each production processin shown below.Type Cutting Sewing FinishingPeddle-Pusher 4 6 2Hipster 6 7 4Low Rider 9 3 6On average, there are 6400 minutes of cutting time, 3500 minutes ofsewing time and 2400 minutes of finishing time each day. Given thatthe company makes $10 profit on each peddle-pusher $ 50 on eachhipster and $60 on each low cut and that the company sells all thejeans made. List the system of inequalities for the cutting, sewingand finishing constraints.
- A company manufactures hair dryers. It buys some of the components, but it makes the heatingelement, which it can produce at the rate of 800 per day. Hair dryers are assembled daily, 250 daysa year, at a rate of 300 per day. Because of the disparity between the production and usage rates,the heating elements are periodically produced in batches of 2,000 units.a. Approximately how many batches of heating elements are produced annually?b. If production on a batch begins when there is no inventory of heating elements on hand, howmuch inventory will be on hand two days later?c. What is the average inventory of elements, assuming each production cycle begins when thereare none on hand?d. The same equipment that is used to make the heating elements could also be used to makea component for another of the firm’s products. That job would require four days, includingsetup. Setup time for making a batch of the heating elements is a half day. Is there enough timeto do this job between production…LENILOVESBATO Co. produces various types of floor rugs with many different designs. They typically produce at least 200 rugs with a single machine setup. A cost incurred each time a new rug design is developed is called a(n) a. Unit-level cost b. Batch-level cost c. Product-level cost d. Facility-level costA company produces a line of golf putters composed of three models. The demandfor model A is 500 per month, for B is 400, and for C is 300. What would be themixed-model sequence if some of each were made each day?
- A company’s warehouse can store up to 4 units of agood. Each month, an average of 10 orders for the good arereceived. The times between the receipt of successive ordersare exponentially distributed. When an item is used to fillan order, a replacement item is immediately ordered, and ittakes an average of one month for a replacement item toarrive. If no items are on hand when an order is received,the order is lost. What fraction of all orders will be lost dueto shortages?In order to produce 1000 units of X in a week units X is scheduled weekly for Operation B (due to 5% scrap ratio) units X is scheduled weekly for Operation A (due to 2% scrap ratio) Based on your answer in part a, find the number of machines required to produce 1000 units of X per week. The total time required to perform Operation B = minutes per week The total time required to perform Operation A = minutes per week H= Available Time in a week = minutes /week Thus FA = . FB = . Since both of the operations A and B are performed on the same machine machines are requiredYou are the owner of DDD Company. The company is engaged in providing services to telecommunication companies. It has a multi-million sales. However, on an average collection cycle, you only collect the sales after 6 months. Upon reviewing the company's financial statements, you notice a large number of receivables and a large number of payables. The company is having a hard time paying its debts since it cannot collect promptly the receivables. The sales manager told you that the company cannot stop accepting projects because there are many competitors in the market. On the other hand, the collection manager suggested collecting first the receivables before accepting a new project. If you are the owner of DDD Company, what should you do? Give three reaons and explain why
- Colleen Company has gathered the following data pertaining to activities it performed for two of its major customers. Jerry, Inc. Kate Co. Number of orders 6 30 Units per order 1,000 420 Sales returns: Number of returns 4 5 Total units returned 50 140 Number of sales calls 13 5 Colleen sells its products at $290 per unit. The firm’s gross margin ratio is 20%. Both Jerry and Kate pay their accounts promptly and no accounts receivable is over 30 days. After using business analytics software to carefully analyze the operating data for the past 30 months, the firm has determined the following activity costs: Activity Cost Driver and Rate Sales calls $ 800 per visit Order processing 180 per order Deliveries 410 per order Sales returns 270 per return and $3 per unit returned Sales salary 107,000 per month Required: 1. Using customers as the cost objects, classify the activity costs…Fishing Products Limited is analysing the performance of its cash management. On average,the firm holds inventory 45 days, pays its suppliers in 25 days, and collects its receivables in20 days. The firm has a current annual outlay of $10,800,000 on operating cycle investments.The company currently pays 10 per cent for its negotiated financing. (Assume a 360-dayyear.)Required:Calculate:i.) the firm’s cash conversion cycle. ii.) the firm’s operating cycle. iii.) the daily expenditure and the firm’s annual savings if the operating cycle is reduced by15 days.Om1. Margaret is a shift supervisor for Clear Lake Boats, Inc. She has been with the company since it started manufacturing boats more than ten years ago. Margaret worked on the production line until last year, when she was promoted to supervisor. The company started out small, with only 12 employees and one shift working Monday to Friday from 8:30 a.m. to 5:00 p.m. Clear Lake Boats now has more than three hundred employees and runs three shifts a day. Every employee on each shift gets paid the same except for the supervisors, who are paid two dollars more per hour. The night shift employees get paid a dollar more per hour. There is no performance appraisal system or reward structure. After Margaret was promoted, she asked to take a “Principles of Supervision” class at a local community college to learn proper supervisory skills and coaching techniques. One of the topics discussed in her class was performance appraisals and reward systems. Although the company has grown quickly and has…