A shop that makes candles offers a scented candle, which has a monthly demand of 360 boxes. Candles can be produced at a rate of 36 boxes per day. The shop operates 20 days a month. Assume that demand is uniform throughout the month. Setup cost is $60 for a run, and holding cost is $2 per box on a monthly basis. Determine the following: the economic run size the maximum inventory the number of days in a run
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- A shop that makes candles offers a scented candle, which has a monthly demand of 360 boxes. Candles can be produced at a rate of 36 boxes per day. The shop operates 20 days a month. Assume that demand is uniform throughout the month. Setup cost is $60 for a run, and holding cost is $2 per box on a monthly basis.
Determine the following:
- the economic run size
- the maximum inventory
- the number of days in a run
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- The chapter presented various approaches for the control of inventory investment. Discuss three additional approaches not included that might involve supply chain managers.Johnson's Juice sells bottles of "keep me awake during class" fruit juice to college students. Annual demand is 88,000 bottles. The company uses an annual holding cost percentage of 16% in its setup cost is $45 per order. The current price per bottle from the supplier is $.75, and Johnson's Juice resells it to customers for $2.00 each. However, the supplier has notified Johnson's Juice that starting nect week the purchase price will rise to $1.15 due to tariffs imposed by the government. Johnson's inventory of bottles is about to be depleted. How many bottles should Johnson's jiuce purchase in the next order. (assume the bottles are full of chemicals so the juice will never expire.)It takes approximately 2 weeks (14 days) for an order of steel bolts to arrive once the order has been placed. The demand for bolts is fairly constant; on the average, the manager, Michelle Wu, has observed that the hardware store sells 500 of these bolts each day. Because the demand is fairly constant, Michelle believes that she can avoid stockouts completely if she orders the bolts at the correct time. What is the reorder point? The reorder point is? units (enter your response as a whole number).
- Sam's Cat Hotel operates 50 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter for $12.00 per bag. The following information is available about these bags: > Demand = 95 bags/week > Order cost = $50.00/order > Annual holding cost = 20 percent of cost > Desired cycle-service level = 80 percent > Lead time =5 weeks (30 working days) > Standard deviation of weekly demand = 15 bags > Current on-hand inventory is 320 bags, with no open orders or backorders. a. Suppose that the weekly demand forecast of 95 bags is incorrect and actual demand averages only 75 bags per week. How much higher will total costs be, owing to the distorted EOQ caused by this forecast error? The costs will be $ higher owing to the error in EOQ. (Enter your response rounded to two decimal places.)Gentle Ben’s Bar and Restaurant uses 5,000 quart bottles of an imported wine each year. The effervescent wine costs $3 per bottle and is served only in whole bottles because it loses its bubbles quickly. Ben figures that it costs $10 each time an order is placed, and holding costs are 20 percent of the purchase price. It takes three weeks for an order to arrive. Weekly demand is 100 bottles (closed two weeks per year) with a standard devia- tion of 30 bottles. Ben would like to use an inventory system that minimizes inventory cost and will provide a 95 percent service probability. a. What is the economic quantity for Ben to order? b. At what inventory level should he place an order?Kabel Market store sells electric cable. The demand for cable is normally distributed. The inventory related information at Kabel Market is as follows: Average Annual Demand = 16,900 meters Standard deviation of weekly demand = 28 meters Cable selling price = AMD 640.00 per meter Ordering cost = AMD 1,250.00 per order Lead time = 5 weeks Annual inventory-holding cost estimate = 2.5% of the cable selling price Required service level = 95% Kabel Market works 52 weeks a year. Note: The approximate z values are: for 0.9 ≈ 1.28, for 0.92 ≈ 1.405, for 0.95 ≈ 1.645, for 0.98 ≈ 2.05. Suppose the bar management practices the fixed-QUANTITY ordering system with the use of the economic order quantity. Answer the following questions: (i) How many meters of cable they order from the supplier each time? (ii) When do they place an order? (iii) What is the safety stock?
- Gentle Ben's Bar and Restaurant uses 7,200 quart bottles of an imported wine each year. The effervescent wine costs $9 per bottle and is served only in whole bottles because it loses its bubbles quickly. Ben figures that it costs $25 each time an order is placed, and holding costs are 40 percent of the purchase price. It takes six weeks for an order to arrive. Weekly demand is 144 bottles (closed two weeks per year) with a standard deviation of 40 bottles. Ben would like to use an inventory system that minimizes inventory cost and will provide a 99 percent service probability. a. What is the economic quantity for Ben to order? b. At what inventory level should he place an order?I need a detailed explanation on how to solve this problem: A paint shop implements an inventory policy on its stock of white paint, which costs the store $6 per can. Monthly demand for cans of white paint is normal with mean 28 and standard deviation 8. The replenishment lead time is 14 weeks. Excess demand is backordered, but costs $10 per back ordered can in labor and loss of goodwill. There is a fixed cost of $15 per order, and the holding cost is based on 30% interest rate per annum. In your computations, assume 4 weeks per month. - Write down the model name and parameters. - What are the optimal lot size and reorder points for white paint (include the formulas)? - What is the optimal safety stock (include the formula)? *** Suppose the paint shop from the above problem adopts a service level policy. - What are the optimal lot size and reorder points for white paint, such that 90% of the cycles are filled without backordering (include all formulas)? - What is the fill rate…A shop that makes candles offers a scented candle, which has a monthly demand of 500 boxes. Candles can be produced at a rate of 47 boxes per day. The shop operates 20 days a month. Assume that demand is uniform throughout the month. Setup cost is $61 for a run, and holding cost is $8 per box on a monthly basis. Determine the the economic run size: a. 60 b. 128 c. 88 d. 187
- Sam's Pet Hotel operates 52 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter for $13.00 per bag. The following information is available about these bags: ≻Demand=75 bags/week ≻Order cost=$55.00/order ≻Annual holding cost=25 percent of cost ≻Desired cycle-service level=80 percent ≻Lead time=4 weeks (24 working days) ≻Standard deviation of weekly demand=15 bags ≻Current on-hand inventory is 320 bags, with no open orders or backorders. Part 2 a. Suppose that the weekly demand forecast of 75 bags is incorrect and actual demand averages only 50 bags per week. How much higher will total costs be, owing to the distorted EOQ caused by this forecast error? The costs will be $enter your response here higher owing to the error in EOQ. (Enter your response rounded to two decimal places.) a. What is the EOQ? What would the average time between orders (in weeks)? b. What should R be? c. An inventory withdraw…Demand for the BMX Bike at Toby’s is 600 units per month. Toby’s incurs a fixed order placement, transportation, and receiving cost of $ 3,500 each time an order is placed. Each Bike costs $ 450 and the retailer has a holding cost of 20 percent. Evaluate the number of Bikes that the store manager should order in each replenishment lot. How many orders per period (Year) will have to be made (N) (under EOQ)?Pet Empire operates 52 weeks per year, 6 days per week, and uses a continuous review inventory system. It purchases kitty litter for $11.70 per bag. The following information is available about these bags. Demand is 90 bags per week, order cost is $54 per order, annual holding cost is 27% of the cost, service level is 80%, lead time is 3 weeks (18 working days), and standard deviation of weekly demand is 15 bags. Current on hand inventory is 320 bags with no open orders or back orders. Require to calculate Economic Order Quantity (EOQ). What would be the average time between orders (in weeks)? Calculate reorder point (R). The store currently uses a lot size of 500 bags (i.e., Q = 500). Calculate the annual holding cost of this policy and also annual ordering cost. Without calculating the EOQ, how can you conclude from these two calculation that the current lot size is too large? What would be the annual cost saved by shifting from the 500-bag lot size to the EOQ? Consider again the…