TABLE 13.4The Distribution, F(Q), and Expected Inventory, I(Q), Functions for the Standard Normal DistributionFunctionF(z)(z)-4.0.0000.0000-3.9.0000.0000-3.8.0001.0000-3.7.0001.0000-3.6.0002.0000-3.5.0002.0001-3.4.0003.0001-3.3.0005.0001-3.2.0007.0002-3.1.0010.0003-3.0.0013.0004-2.9.0019.0005-2.8.0026.0008-2.7.0035.0011-2.6.0047.0015-2.5.0062.0020-2.4.0082.0027-2.3.0107.0037-2.2.0139.0049-2.1.0179.0065-2.0.0228.0085-1.9.0287.0111-1.8.0359.0143-1.7.0446.0183-1.6.0548.0232-1.5.0668.0293-1.4.0808.0367-1.3.0968.0455-1.2.1151.0561-1.1.1357.0686-1.0.1587.0833-0.9.1841.1004-0.8.21191202-0.7.2420.1429-0.6.2743.1687-0.5.3085.1978-0.4.3446.2304-0.3.3821.2668-0.2.4207.3069-0.1.46023509.0.5000.3989.1.53984509.2.5793.5069.3.6179.5668.4.6554.6304.5.6915.6978.6.7257.7687.77580.8429.8.7881.9202.9.81591.00041.0.84131.08331.1.86431.16861.2.88491.25611.3.90321.34551.4.91921.43671.5.93321.52931.6.94521.62321.7.95541.71831.8.96411.81431.9.97131.91112.0.97722.00852.1.98212.10652.2.98612.20492.3.98932.30372.4.99182.40272.5.99382.50202.6.99532.60152.7.99652.70112.8.99742.80082.9.99812.90053.0.99873.00043.1.99903.10033.2.99933.20023.3.99953.30013.4.99973.40013.5.99983.50013.6.99983.60003.7.99993.70003.8.99993.80003.91.00003.90004.01.00004.0000 PA 13-9 (Algo) CPG Bagels starts the day with a large production...CPG Bagels starts the day with a large production run of bagels. Throughout the morning, additional bagels are produced as needed.The last bake is completed at 3 p.m. and the store closes at 8 p.m. It costs approximately $0.25 in materials and labor to make a bagel.The price of a fresh bagel is $0.60. Bagels not sold by the end of the previous day are sold the next day as "day old" bagels in bags ofsix for $0.99 a bag. About two-thirds of the day-old bagels are sold; the remainder are just thrown away. There are many bagel flavors,but for simplicity, concentrate just on the plain bagels. The store manager predicts that demand for plain bagels from 3 p.m. untilclosing is normally distributed with a mean of 51 and a standard deviation of 25. Use Table 13.4.If a part of the question specifies whether to use Table 13.4, or to use Excel, then credit for a correctanswer will depend on using the specified method.How many bagels should the store have at 3 p.m. to maximize the store'sexpected profit (from sales between 3 p.m. until closing)? (Hint: Assume day-oldа.bagels are sold for $0.99/6 = $0.165 each, that is, don't worry about the fact thatday-old bagels are sold in bags of six.) Use Table 13.4 and round-up rule.(Round your answer to a whole number.)Suppose the store manager has 97 bagels at 3 p.m. How many bagels shouldb. the store manager expect to have at the end of the day? Use Table 13.4 andround-up rule.Suppose the manager would like to have a 0.99 in-stock probability on demandc. that occurs after 3 pm. How many bagels should the store have at 3 p.m. toensure that level of service? Use Table 13.4 and round-up rule.

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Practical Management Science

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ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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. CPG Bagels starts the day with a large production run of bagels. Throughout the morning, additional bagels are produced as needed. The last bake is completed at 3 p.m. andthe store closes at 8 p.m. It costs approximately $0.20 in materials and labor to make a bagel. The price of a fresh bagel is $0.60. Bagels not sold by the end of the previous day are sold the next day as “day old” bagels in bags of six for $0.99 a bag. About two-thirds of the day-old bagels are sold; the remainder are just thrown away. There are many bagel flavors, but for simplicity, concentrate just on the plain bagels. The store manager predicts that demand for plain bagels from 3 p.m. until closing is normally distributed with a mean of 54 and a standard deviation of 21. a. How many bagels should the store have at 3 p.m. to maximize the store’s expected profit (from sales between 3 p.m. and closing)? (Hint: Assume day-old bagels are sold for $0.99/6 = $0.165 each; that is, don’t worry about the fact that…
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.
1. A company produces three different products; x,y, and z. For the production of 1 unit of product x, 1 unit of A and 1 unit of B are used as input. 1 unit of A and 2 units of B are used to produce 1 unit of product y. To produce 1 unit of product z, only 1 unit of A is used. The company holds 40 units of A and 20 units of B periodically in total. By the way, the company can not produce product y more than the twice of product z. On the other hand, the sale price of 1 unit of product x is 10 TL, product y is 15 TL and product z is 12 TL. Furthermore, the cost of 1 unit of product x is 8 TL, product y is 9 TL and product z is 7 TL. According to above information, what should be the company’s optimal product mix to maximize its profit? Construct the problem as a LP model. 2. Solve the above problem by using Simplex Method. 3. Min Z = 0.4 x1 + 0.5 x2 Subject to 0.3 x1 +0.1 x2 ≤ 2.7 0.5x1 +0.5x2 = 6 0.6 x1 + 0.4x2 ≥ 6 x1 - 2x2 ≥ 0 x1, x2 ≥ 0 Create a problem and define the decision…
You manage a production line that operates using a monthly production cycle. There are five different products that could be made this month. However, you only have 500 hours of line capacity, so you must be careful which products you select to make in the production cycle. Making a product incurs two types of setup costs: (1) a material “tear down” cost (measured in dollars) and (2) downtime for line preparation (measured in hours). Any quantity up to the forecasted monthly demand can be sold. Additional production details are given in the table below: Product 1 Product 2 Product 3 Product 4 Product 5 Monthly Demand 1000 units 1100 units 1700 units 1600 units 1500 units Revenue (per unit) $150 $175 $155 $200 $225 Production Cost (per unit) $60 $70 $60 $100 $110 Set Up Cost $10000 $15000 $25000 $10000 $5000 Set Up Time 25 hrs 15 hrs 0 hrs 10 hrs 30 hrs Production Time (per unit) .1 hrs .12…
Please do not give solution in image format thanku Drew's company, Ace High, sells customized sets of poker chips. He is developing a plan for next year on a quarterly basis. The expected demand is 500, 900, 600 and 600 set of chips, respectively, through quarters one through four. He currently has 70 sets on hand (initial inventory) that can be used to meet next years demand. He can produce 450 per quarter at the regular rate of $60 per set. His team will work overtime when needed and available, producing up tp 300 units in Q1, 150 in Q2, none in Q3, and 200 in Q4. Sets provided via overtime cost a total of $90 per set. He can leverage a competitor firm and outsource (subcontract) production at the cost of $110 per set, with a capacity of 300 units per quarter. Storage costs are $5 per set per quarter. Drew has determined that he will have a policy of back-ordering at a costs of $1.50. Based on utilizing the Transportation method. A.) What is the optimal cost for Drew? B.) How many…
Prevost Chemicals manufactures an industrial solvent at its only processing plant. A liquid chemical and labor are the two primary inputs. All other resources are included in manufacturing overhead. The plant never has any work-in-process or finished goods inventories. Information from the previous four periods of production follows: Period 1 Period 2 Period 3 Period 4 Chemical input (gallons) 125,000 129,280 128,000 120,000 Labor input (hours) 12,500 11,200 15,000 10,100 Solvent sales (gallons) 110,000 113,120 120,000 103,020 Average price of chemical per gallon $ 2.00 $ 2.10 $ 1.95 $ 2.25 Average wage rate per hour 28.00 26.00 31.00 34.00 Average sales price per gallon 10.26 10.00 9.80 10.60 Manufacturing overhead (total) 236,000 245,312 245,400 243,080 Required: a. Compute the partial productivity measures for chemical for the four periods. b. Compute the partial productivity measures for labor for the four periods.
Prevost Chemicals manufactures an industrial solvent at its only processing plant. A liquid chemical and labor are the two primary inputs. All other resources are included in manufacturing overhead. The plant never has any work-in-process or finished goods inventories. Information from the previous four periods of production follows: Period 1 Period 2 Period 3 Period 4 Chemical input (gallons) 125,000 129,280 128,000 120,000 Labor input (hours) 12,500 11,200 15,000 10,100 Solvent sales (gallons) 110,000 113,120 120,000 103,020 Average price of chemical per gallon $ 2.00 $ 2.10 $ 1.95 $ 2.25 Average wage rate per hour 28.00 26.00 31.00 34.00 Average sales price per gallon 10.26 10.00 9.80 10.60 Manufacturing overhead (total) 236,000 245,312 245,400 243,080 Required: c. Compute the total factor productivity for the four periods.
Please do not give solution in image format thanku 1. Current total inventory level (I E) of a company is 10,000 units, which are held at 4 different facilities (n E). Next year, the company plans to open 12 new facilities. Provide an estimate on the total future inventory level (I F) for the company. a. 60,000 units b. 10,000 units c. 40,000 units d. 20,000 units e. 17,321 units
Holding cost = $7 per unit per month Subcontracting cost = $65 per unit Regular time labor cost = $15 per hour. Each worker works 8 hours per day as regular time laborers Overtime labor cost = $19 per hour for hours above 8 hours per worker per day Hiring cost = $40 per worker Firing cost = $80 per worker Demand during the month of June = 640 units Labor hours per unit = 3 Beginning inventory in July = 150 units Please follow the outlined strategy accurately. The strategy is to fulfill the gross demand in each month, storing any excess units in a warehouse as inventory. The warehouse can only hold 300 units maximum, so any additional units that cannot be warehoused will have to be scrapped and sent to a recycler at a cost of $50 a unit. The recycler will dispose of the units in an environmentally friendly manner. The workers employed during a month, working 8 hours a day as regular time labor, produce exactly the gross demand in the previous month. For example, the regular time labor…
[item no.13] Which of the following is true about the Production Run Model? a. Total cost is minimized when annual ordering cost is greater than the carrying cost. b. The maximu inventory level is equal to the number of pieces per production run. c. The maximum inventory level is equal to the total produced during the production run minus the total used during the production run. d. It requires the instantaneous inventory receipt assumption.
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Please do not give solution in image format thanku A hospital emergency room needs the following numbers of nurses: Day M T W T F S S Min. of number 7 3 8 3 5 4 3 Each nurse should have two consecutive days off. How many full-time nurses are required and what is a good nurse schedule? Round your answer to the nearest whole number.------------------- nurses

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