3. A pastry shop is considering how much hot chocolate to prepare each morning. Hot chocolate costs $0.20 per oz to make and sells for $0.90 per oz. Customers can buy hot chocolate in any number of ounces that they wish. Any hot chocolate not sold by the end of the day is discarded. The daily demand for hot chocolate is normally distributed with a mean of 1,000 oz and a standard deviation of 200 oz. How much hot chocolate should the pastry shop make each morning? You may use a z-table for this question.
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- That One Book sells its books through The Witch and the Wardrobe bookstores. It costs That One Book $0.80 to print each book; it sells the book to The Witch and the Wardrobe for $2.50. The Witch and the Wardrobe then sells the books at retail for $6.00. Whatever doesn’t sell gets thrown away. Demand for the book each issue is normal with a mean of 5219 and a standard deviation of 1610. To give The Witch and the Wardrobe incentive to order more books, it proposes a revenue-sharing contract. Instead of selling the book to The Witch and the Wardrobe for $2.50, That One Book will sell its books to The Witch and the Wardrobe for only $1.00. However, for each book that The Witch and the Wardrobe sells at retail, The Witch and the Wardrobe must give $2.00 back to That One Book. With this revenue sharing agreement in place, what is the optimal order amount that will maximize The Witch and the Wardrobe expected profit? Please do fast ASAPYou are the executive chef at a large wedding facility, and a wedding with a confirmed count of 168 is scheduled for tomorrow at noon. Everything has been ordered except the shrimp, which was missing from the last purchase order. It will have to be a last-minute rush order, and only one supplier can get it to you in time. The purchase order will be for frozen raw, U 16-20, shrimp peeled, de-veined, tail-on, in 5-pound boxes (according to your spec for the product). You’ve dealt with this supplier before, and made a note to yourself on the jumbo shrimp spec that this vendor’s product averages 19 to 20 shrimp per pound and has a 96% yield. Catering policy dictates that a 10% buffer be provided for unexpected guests, and the catering menu states that 5 shrimp are to be served per person. If you have 4 pounds of good jumbo shrimp on hand, how much will you order for the wedding? Will there be any leftover product? How much?c) Dtee operates a small novelty shop. Each morning she purchases a small quantity of daily computerized horoscopes at a cost of R15.00 per item. She resells them later in the day for R25.00 per horoscope. For the past 200 days, Dtee's demand has been 6 items on 60 days, 7 items on 60 days, 8 items on 40 days, 9 items on 20 days and 10 items on 20 days. The horoscopes come in packages of 2, which forces Dtee to purchase an even number, and the horoscopes are saleable for one day only. At the end of each working day, however, Dtee can sell any remaining horoscopes to a night-town peddler for R10.00 per item. Set up the pay-off matrix for this problem.
- a. Mr. Mashabela operates a small novelty shop. Each morning he purchases a small quantity of daily computerized horoscopes at a cost of R15.00 per item. He resells them later in the day for R25.00 per horoscope. For the past 200 days, Mr. Mashianoke's demand has been 6 items on 60 days, 7 items on 60 days, 8 items on 40 days, 9 items on 20 days and 10 items on 20 days. The horoscopes come in packages of 2, which forces Mr. Mashabela to purchase an even number, and the horoscopes are salable for one day only. At the end of each working day, however, Mr. Mashabela can sell any remaining horoscopes to a night-own peddler for R10.00 per item. i) Set up the payoff matrix for the above problem. ii) Assuming the probabilities of the occurrence of the state of nature is unknown, how many computerized horoscopes should the decision maker purchase based on opportunistic loss? i) Using the expected monetary value approach, determine how many computerized horoscopes should Mr. Mashabela purchase.…ou are a newsvendor selling the 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 the 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. How many copies of the San Pedro Times should you buy each morning and what is the probability that you will run out of stock? Use Excel's NORM.S.INV() function to find the z value.Please do not give solution in image formate thanku. Weekly demand for HP printers at a Sam's Club store is normally distributed, with a mean of250 and a standard deviation of 150. The store manager continuously monitors inventory andcurrently orders 1,000 printers each time the inventory drops to 600 printers. HP currentlytakes two weeks to fill an order. How much safety inventory does the store carry? What CSLdoes Sam's Club achieve as a result of this policy? What fill rate does the store achieve?Ex:. Return to the Sam's Club store in . Assume that the supply lead time from HP isnormally distributed, with a mean of 2 weeks and a standard deviation of 1.5 weeks. Howmuch safety inventory should Sam's Club carry if it wants to provide a CSL of 95 percent?
- 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)David's Delicatessen flies in Hebrew National salamis regularly to satisfy a growing demand for the salamis in Silicon Valley. The owner, David Gold, estimates that the demand for the salamis is pretty steady at 175 per month. The salamis cost Gold $1.85 each. The fixed cost of calling his brother in New York and having the salamis flown in is $200. It takes three weeks to receive an order. Gold's accountant, Irving Wu, recommendsan annual cost of capital of 22 percent, a cost of shelf space of 3 percent of the value of the item, and a cost of 2 percent of the value for taxes and insurance. How many salamis should Gold have on hand when he phones his brother to send another shipment?David’s Delicatessen flies in Hebrew National salamis regularly to satisfy a growing demand for the salamis in Silicon Valley. The owner, David Gold, estimates that the demand for the salamis is pretty steady at 175 per month. The salamis cost Gold $1.85 each. The fixed cost of calling his brother in New York and having the salamis flown in is $200. It takes three weeks to receive an order. Gold’s accountant, Irving Wu, recommends an annual cost of capital of 22 percent, a cost of shelf space of 3 percent of the value of the item, and a cost of 2 percent of the value for taxes and insurance.a. How many salamis should Gold have flown in and how often should he order them?b. How many salamis should Gold have on hand when he phones his brother to send another shipment?c. Suppose that the salamis sell for $3 each. Are these salamis a profitable item for Gold? If so, what annual profit can he expect to realize from this item? (Assume that he operates the system optimally.)d. If the salamis…
- "If the demand for a good decreases when a consumer's income rises, the demand for that good must decrease when its price rises". This statement is valid for Nora's demand for cheese. This statement is not valid for Chris' demand for pasta. Q1 a) Using an appropriate model with a diagram, explain in detail Nora's demand for cheese.13 Pam’s demand for hats is normally distributed with mean 500 and standard deviation 100. She sells her hats for $50 each and buys hats for $10 each, and anything she can't sell by the end of the year, the wholesaler will buy for $5 each. How many hats should she order for next year to maximize profit?You are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to the printer and buy the day's paper for $0.25 a copy. You sell a copy of the San Pedro Times for $1.30. Daily demand is distributed normally with mean = 260 and standard deviation = 46. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of the San Pedro Times should you buy each morning? Note: Use Excel's NORM.S.INV() function to find the z value. Round your z value and service level to 2 decimal places and final answer to the nearest whole number. Optimal order quantity b. Based on a, what is the probability that you will run out of stock? Note: Round your answer to the nearest whole percent. Probability %