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- Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?In Example 11.3, suppose you want to run five simulations, where the probability of passing inspection is varied from 0.6 to 1.0 in increments of 0.1. Use the RISKSIMTABLE function appropriately to do this. Comment on the effect of this parameter on the key outputs. In particular, does the probability of passing inspection have a large effect on when production should start? (Note: When this probability is low, it might be necessary to produce more than 25 batches, the maximum built into the model. Check whether this maximum should be increased.)A bakery that orders cartons of bread mix has used an EOQ model to determine that an order quantity of 90 cartons per order is economically optimal. The bakery needs 150 cartons per month to meet demand. It takes L days for the bakery’s supplier to deliver an order. When should the bakery place its orders when L = 2, when L = 5, and when L = 10? (Assume that the bakery and its supplier both work seven-day weeks and that there are 30 days per month.)
- A tire store orders its stock for a popular winter tire once every year. The cost of a tire for the store is $120. The store sells a tire for $140 at the regular price. The regular demand per year is 1,000 tires, which is normally distributed with a standard deviation of 70 tires. Customers do not prefer to buy from an older stock; hence the store does not keep the tires for the next year. The store is able to sell the excess stock at a reduced price of $80 per tire. How many tires the store should order each year?Doc Nix Productions sells specialty T-Shirts that are sold at a single basketball game each. Doc Nix is trying to decide how many to buy for an upcoming game. During the game itself, which lasts one evening, Doc can sell T-Shirts for $10 apiece. However, when the game ends unsold T-shirts have no value. Due to a licensing agreement, Doc needs to make sure that leftover shirts are destroyed using a method that ends up costing $0.50 for each unsold T-Shirt. It costs Doc $6.50 to buy a specialty T-Shirt from the supplier. The supplier he uses has a cost per shirt of $2. Doc estimates that demand is distributed as shown below. Demand 300 350 400 450 500 550 Probability 0.05 0.15 0.20 0.10 0.30 0.20 How many specialty T-Shirts should Doc Nix buy from the supplier to maximize his profits? What is his expected profit? What is the total supply chain profit?Motorama TV estimates the annual demand for its TVsis (and will be in the future) normally distributed, with amean of 6,000 and standard deviation of 2,000. Motorama must determine how much production capacity it shouldhave. The cost of building enough production capacity tomake 1,000 sets per year is $1,000,000 (equivalent in presentvalue terms to a cost of $100,000 per year forever). Exclusiveof the cost of building capacity, each set sold contributes$250 to profits. How much production capacity shouldMotorama have?
- Assume the demand for a company’s 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 soldfor $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.[item no. 9] In marginal analysis with discrete distributions for single-period inventory models, the value of ML/(ML+MP) is 0.8. The probability distribution of sales is given by the following by the table below. Find the optimal number of units to order. Daily demand 80 90 100 110 120 Probability that demand will be at this level 0.10 0.20 0.30 0.30 0.10 a. 90 units b. 110 units c. 100 units d. 80 unitsThe materials manager of a tire manfacturer must predict periodically place order for a key chemical one of the raw materials used in manufacturing uses the chemical at a rate of 300lbs each week and the lead time of delivery is 4 days. Assume that the manufacturing operation runs 5 days a week. At what point should the chemical be reorderedd a. when 1200lbs are remaining b. where 0lbs are remaining c. where 375lbs are remaining d. when 240lbs are rem
- The "Footcandy" shoes store supplies men's black formal shoes. Every 3 months the "Footcandy" shoes store can sell approximately 500 pairs of shoes at a constant price. The store is currently ordering 500 everytime they order. It costs $ 30 to place the order. 20% is the annual rate for the storage fee. With an order of 500 pairs of shoes, the store got the lowest price at $ 28 per pair. The order quantity discounts offered by the manufacturer are as follows Quantity Price 1 0-99 $36 2 100-199 $32 3 200-299 $30 4 300 $28 a. What is the minimum cost order amount for the shoes? b. What is the annual savings from Footcandy Store?Michael runs a kitchen that provides food for various canteens throughout a large organization. A particular salad is sold to the canteen for $10 and costs $8 to prepare. Therefore, the contribution per salad is $2. The kitchen must prepare the salads in batches of 10. The manager has asked you to decide how many salads the kitchen should supply for each day of the forthcoming year. using the payoff table and probabilities given. Daily Supply 40 salads 50 salads 60 salads 70 salads 40 salads 80 0 -80 -160 Daily 50 salads 80 100 20 -60 Demand 60 salads 80 100 120 40 70 salads 80 100 120 140 Prob(x) 0.1 0.2 0.4 0.5 What decision would you make to maximize the expeted monetary value?The accompanying table shows a bookstore's estimated demand for a new calendar. The bookstore needs to decide whether to order100, 200, or 300 calendars for the start of the year. Each calendar costs the store$5 to purchase and can be sold for $13. The store can sell any unsold calendars back to its supplier for $3 each. Determine the number of calendars the bookstore should order to maximize its expected monetary value. Demand Probability 100 0.35 200 0.25 300 0.40 The bookstore should order---------calendars in order to have the maximum expected monetary value of $----- (Type a whole number.)