Bernie’s Bike Shop receives the following trade discounts: 20/15/15. The vendor’s price list indicates that 20 percent off list price is for purchasing bikes in quantities of 100 or more, 15 percent off list price is for assembling the bikes for customers, and 15 percent is for sales promotion and local advertising. If the manufacturer’s list price is $550, what should Bernie pay for each bike if he orders 110 bikes at a time, assembles the bikes, and displays and advertises them?
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Bernie’s Bike Shop receives the following trade discounts: 20/15/15. The vendor’s price list indicates that 20 percent off list price is for purchasing bikes in quantities of 100 or more, 15 percent off list price is for assembling the bikes for customers, and 15 percent is for sales promotion and local advertising. If the manufacturer’s list price is $550, what should Bernie pay for each bike if he orders 110 bikes at a time, assembles the bikes, and displays and advertises them?
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- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.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 Problem 12 of the previous section, suppose that the demand for cars is normally distributed with mean 100 and standard deviation 15. Use @RISK to determine the best order quantityin this case, the one with the largest mean profit. Using the statistics and/or graphs from @RISK, discuss whether this order quantity would be considered best by the car dealer. (The point is that a decision maker can use more than just mean profit in making a decision.)
- Cryolab Inc makes and sells a lawn fertilizer called Hypergro. The company has developed standard costs for one bag of Hypergro as follows: Standard Quantity/Hours Standard Price/Rate Standard Cost per Bag Direct Material 25 pounds ₱ 0.75 ₱18.75 Direct Labor 0.25 hours ₱69.00 ₱17.30 Variable overhead 0.25 hours ₱24.00 ₱ 6.00 Total ₱42.05 The company had no beginning inventories of any kind on January 1. Variable overhead is applied to production on the basis of standard direct labor hours. During January, the following activity was recorded by the company: Production of Fastgro: 23,000 bags Direct materials purchased: 585,000 pounds at a cost of ₱436,250 Direct labor worked: 5,800 hours at a cost of ₱397,300 Variable overhead incurred: ₱140,650 Inventory of direct materials on January 31: 8,000 pounds Compute the variances and indicate whether it is FAVORABLE (F) or UNFAVORABLE (U) in your solution sheet. The raw…Max the Tailor is going to sell custom suits. He was able to rent a garage from his Uncle Ed for $2,000 a month, which includes utilities, and he already owns the equipment he needs. He anticipates being able to sell his suits for $500 each. The raw materials (fabric, buttons, zippers, thread, etc.) will cost an average of $75 for each suit, and he plans to spend $25 per suit to advertise them. Assuming these are all the costs and revenues, what will be Max’s monthly break-even point in units? Does this seem like a reasonable amount for him to produce and sell every month? Please show your calculations.I need a detailed explanation and assistance to solve this problem: Wineco produces wine cooler as a blend of wine, grape juice and apple juice ingredients, which it sells for $4 per gallon. The costs of ingredients are given in the following table: Cooler Ingredient Price per Gallon ($) wines 1.20 grape juice 1.40 Apple juice 0.60 Wineco owns a blending plant with a production capacity of 200 gallons per day. Because the plant is fully automated, all other production costs are negligible by comparison to the cost of ingredients, and can be ignored. Government regulations mandate that wine cooler products must satisfy the following guidelines: At least 10% of the blend produced must be grape juice. The ratio of apple juice to grape juice in the blend produced must be 2.5:1 The blend produced must contain between 20% and 25% wine. Wineco wishes to use LP in order to determine the quantities of ingredients to buy for a day’s production of wine cooler, so…
- AutoTime, a manufacturer of electronic digital timers, has a monthly fixed cost of $50,000 and a production cost of $7 for each timer manufactured. The timers sell for $15 each. (a) What is the cost function C(x)?C(x) = (b) What is the revenue function R(x)?R(x) = (c) What is the profit function P(x)?P(x) = (d) Compute the profit (loss) corresponding to production levels of 3000, 6000, and 11,000 timers, respectively. (Input a negative value to indicate a loss.) 3000 timers $ 6000 timers $ 11,000 timers $Heineken sells beer in 12 packs for $13, in 24 packs for $25, and in 5-liter mini- kegs for $21. Assume that there is 0.355 liter per beer in a multipack. On a cost-per-liter level, which offers customers the best price? In comparing the price of a 24-pack to 12-pack on a per-liter basis, what kind of price segmentation is being used? In comparing the price of a 24-pack to 5-liter mini-keg, what kind of price segmentation is being used? Which psychological effects might drive customers to purchase a 5-liter keg?Williams Inc. produces fluorescent lightbulbs for commercial use. The accounting manager isattempting to estimate the total cost for the next quarter using the high-low method. He has compileddata and found the high and low costs are $10,000 and $6,000, respectively, and the associated costdrivers are 7,000 and 3,000 packs, respectively. What is the value for b (the variable cost per unit)?What is the value for a (the fixed quantity)?
- Dr. Thompson makes three bean mixes for coffee shops located in the Austin. The three mixes, referred to as the Tameka Mix, the Christian Mix, and the Tamia Mix, are made by mixing different percentages of five types of beans. In preparation for the fall season, Dr. Thompson just purchased the following shipments of beans at the prices shown: Type of Beans Shipment Amount in pounds Cost Per Shipment in dollars Arabica 6000 7500 Robusta 7500 7125 Liberica 7500 6750 Excelsa 6000 7200 Juno 7500 7875 The Tameka Mix consists of 15% Arabica, 25% Robusta beans, 25% Liberica, 10% Excelsa, and 25% Juno. The Christian Mix consists of 20% of each type of beans, and the Tamia Mix consists of 25% Arabica, 15% Robusta beans, 15% Liberica, 25% Excelsa, and 20% Juno. Dr. Thompson analyzed the cost to get the beans ready and determined that the profit contribution per pound is $1.65 for the Tameka Mix, $2.00 for the Christian Mix, and $2.25 for the…Dr. Thompson makes three bean mixes for coffee shops located in the Austin. The three mixes, referred to as the Tameka Mix, the Christian Mix, and the Tamia Mix, are made by mixing different percentages of five types of beans. In preparation for the fall season, Dr. Thompson just purchased the following shipments of beans at the prices shown: Type of Beans Shipment Amount in pounds Cost Per Shipment in dollars Arabica 6000 7500 Robusta 7500 7125 Liberica 7500 6750 Excelsa 6000 7200 Juno 7500 7875 The Tameka Mix consists of 15% Arabica, 25% Robusta beans, 25% Liberica, 10% Excelsa, and 25% Juno. The Christian Mix consists of 20% of each type of beans, and the Tamia Mix consists of 25% Arabica, 15% Robusta beans, 15% Liberica, 25% Excelsa, and 20% Juno. Dr. Thompson analyzed the cost to get the beans ready and determined that the profit contribution per pound is $1.65 for the Tameka Mix, $2.00 for the Christian Mix, and $2.25 for the…Product Mix TJ, Inc., makes three nut mixes for sale to grocery chains located in the Southeast. The three mixes, referred to as the Regular Mix, the Deluxe Mix, and the Holiday Mix, are made by mixing different percentages of five types of nuts. In preparation for the fall season, TJ, Inc., purchased the following shipments of nuts at the prices shown: Type of Nut Shipment Amount (pounds) Cost per Shipment Almond 6000 $7500 Brazil 7500 $7125 Filbert 7500 $6750 Pecan 6000 $7200 Walnut 7500 $7875 The Regular Mix consists of 15% almonds, 25% Brazil nuts, 25% filberts, 10% pecans, and 25% walnuts. The Deluxe Mix consists of 20% of each type of nut, and the Holiday Mix consists of 25% almonds, 15% Brazil nuts, 15% filberts, 25% pecans, and 20% walnuts. An accountant at TJ, Inc., analyzed the cost of packaging materials, sales price per pound, and so forth, and determined that the profit contribution per pound is $1.65 for the Regular…