Max Richardsonx operates a gourmet bakery, renowned for its artisanal sourdough bread. He observed that the demand for his bread follows a normal distribution with a mean of 155 loaves and a standard deviation of 20 loaves. He incurs a cost of $9 per loaf, which he sells for $17. Unsold loaves at the end of the day are donated to a local food bank, for which he receives $2 per loaf. Based on this information, the ideal service level is _____%. (Do not round your intermediate calculations. Round your final answer to the nearest whole number. Only enter the number. Do not enter any units.
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.Problem 20-10 (Algo) You are a newsvendor selling San Pedro Times every morning. Before you get to work, you go to the printer and buy the day's paper for $0.30 a copy. You sell a copy of San Pedro Times for $1.10. Daily demand is distributed normally with mean = 265 and standard deviation = 53. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of San Pedro Times should you buy each morning? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Round your z-value to 2 decimal places and final answer to to 2 decimal places.) Optimal order quantity b. Based on a, what is the probability that you will run out of stock? (Round your answer to the nearest whole number.) ProbabilityProblem 20-10 (Algo) You are a newsvendor selling San Pedro Times every morning. Before you get to work, you go to the printer and buy the day’s paper for $0.50 a copy. You sell a copy of San Pedro Times for $1.25. Daily demand is distributed normally with mean = 335 and standard deviation = 67. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of San Pedro Times should you buy each morning? (Use Excel's NORMSINV() function to find the correct critical value for the given α-level. Round your z-value to 2 decimal places and final answer to to 2 decimal places.) b. Based on a, what is the probability that you will run out of stock? (Round your answer to the nearest whole number.)
- Problem 12-37 (Algo) A small grocery store sells fresh produce, which it obtains from a local farmer. During the strawberry season, demand for fresh strawberries can be reasonably approximated using a normal distribution with a mean of 36 quarts per day and a standard deviation of 5 quarts per day. Excess costs run 50 cents per quart. The grocer orders 41 quarts per day. Use Table. What is the implied cost of shortage per quart? (Round your z value to 2 decimal places, your service level probability to 4 decimal places and your final answer to 2 decimal places.) Shortage cost per quartThe local supermarket buys lettuce each day to ensure fresh produce. Each morning any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week the supermarket can buy fresh lettuce for $4.00 a box. The lettuce is sold for $10.00 a box and the dealer that sells old lettuce is willing to pay $1.50 a box. History says that tomorrow’s demand for lettuce averages 250 boxes with a standard deviation of 34 boxes. How many boxes of lettuce should the supermarket purchase tomorrow?14. 12 The purchasing manager for the Atlantic Steel Company must determine a policy for ordering coal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate, and the firm operates 360 days per year. The purchasing manager has determined that the ordering cost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventory held. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton for the coming year. a. Determine the optimal quantity of coal to receive in each order. (Ans: 1200 tons) b. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost of the coal). (Ans: TC= $2880) c. If 5 days of lead time are required to receive an order of coal, how much coal should be on hand when an order is placed? (Ans= R=300 tons)
- Pane 3. Assume a company receives cash from different geographic areas of $500,000 daily. The average float of the cash receipt is 4 days. Interest rate on savings is 6% per year. If the company institutes a lock-box system, it will reduce the float to two days. It will cost $80,000 to install the lock-box system and an additional monthly fee of $1,000 to operate it. Should the company install the lock-box system?Torrance Refinery produces approximately 23.1 Million barrels of gasoline per year. A California distributor sources its gasoline from the Torrance refinery. The annual demand for gasoline at the California distributor is 5.3 Million barrels. The cost of storing gasoline is approximately $29 per barrel (per year). The cost of placing an order to the Torrance refinery (including shipping) is $7300 per order. Orders will be received gradually instead of delivered all at once (hence EPQ). At what quantity will the total cost of procurement be the lowest? Round your answer to the nearest whole number. Do NOT include a comma. For example, answer like 103542 and NOT 103,542 Answer: 58845 CheckProblem 20-10 (Algo) You are a newsvendor selling San Pedro Times every morning. Before you get to work, you go to the printer and buy the day's paper for $0.45 a copy. You sell a copy of San Pedro Times for $1.40. Daily demand is distributed normally with mean = 340 and standard deviation = 68. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of San Pedro Times should you buy each morning? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Round your z-value to 2 decimal places and final answer to to 2 decimal places.) 8 Answer is complete but not entirely correct. Optimal order quantity 0.05 b. Based on a, what is the probability that you will run out of stock? (Round your answer to the nearest whole number.) * Answer is complete but not entirely correct. Probability 3 X %
- The local supermarket buys lettuce each day to ensure very fresh produce. Each morning, any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week, the supermarket can buy fresh lettuce for $4 a box. The lettuce is sold for $10 a box and the dealer that sells old lettuce is willing to pay $1.50 a box. Past history says that tomorrow’s demand for lettuce averages 250 boxes, with a standard deviation of 34 boxes. How many boxes of lettuce should the supermarket purchase tomorrow?The purchasing manager for the Atlantic Steel Company must determine a policy for orderingcoal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate,and the firm operates 360 days per year. The purchasing manager has determined that the orderingcost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventoryheld. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton forthe coming year. If 5 days of lead time are required to receive an order of coal, how much coal should be on hand when an order is placed?The purchasing manager for the Atlantic Steel Company must determine a policy for orderingcoal to operate 12 converters. Each converter requires exactly 5 tons of coal per day to operate,and the firm operates 360 days per year. The purchasing manager has determined that the orderingcost is $80 per order and the cost of holding coal is 20% of the average dollar value of inventoryheld. The purchasing manager has negotiated a contract to obtain the coal for $12 per ton forthe coming year. Determine the total inventory-related costs associated with the optimal ordering policy (do not include the cost of the coal).