Jim's Camera shop sells two high-end cameras, the Sky Eagle and Horizon. The demands and selling prices for these twocameras are as follows.D = demand for the Sky EaglePs= selling price of the Sky EagleDH = demand for the HorizonPH = selling price of the HorizonRevenueDs = 227 -0.60P5 + 0.35PHDH = 275 + 0.10P - 0.64PHThe store wishes to determine the selling price that maximizes revenue for these two products. Develop the revenuefunction R (in terms of P and PH only) for these two models, and find the prices (in dollars) that maximizes revenue.(Round your answers to two decimal places.)227P§ −0.6(P§)² +0.45PPµ+275Ðµ−0.64(PH)²Price for Sky EaglePrice for HorizonOptimal revenueR =Ps= $= $R = $Qxxx

Businesses need to be mindful of the association between revenue, demand, and selling price as they…

Answered: Jim's Camera shop sells two high-end…

Practical Management Science

6th Edition

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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A company needs to order raw material and demand is forecast to be normally distributed with a mean of 250 gallons and standard deviation of 100 gallons. One gallon of raw material produces one gallon of product and the product sells for $25/gallon. Raw material costs $10/gallon but the company must also spend $5/gallon for disposal of any UNUSED raw material. If demand is higher than production capacity, the company sells what it can make and loses the rest of demand. a) If they buy 400 gallons of raw material, how much should they expect to spend on disposal costs (in $)? b) To have a 92% probability of satisfying demand, how many gallons of raw material should be bought?
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A quarry uses five types of rocks to fulfill four orders. The gypsum content, availability of each type of rock, and the production cost per pound for each rock, as well as the size of each order and the minimum and maximum gypsum percentage in each order, are given below.Rock type-------Cost-------% gypsum-------Amount Available1-------------------$1.00-----------2.0%-----------5002-------------------$5.00-----------5.0%-----------6003-------------------$5.50-----------4.5%-----------7004-------------------$2.00-----------3.0%-----------4005-------------------$1.20-----------6.0%-----------450 Order No.--------------------1----------2----------3---------4Order Size------------------500------600------500------350Min % gypsum-----------3.5%-----3.8%-----4.0%-----3.6%Max % gypsum----------4.4%-----4.6%-----4.7%-----4.8%What is the cheapest way to fill the orders?
The supplier's unit cost for the product is $10. The product is sold by the supplier to the retailer for $15 per unit. The retailer then sells the product to end consumers for $20 per unit. There is no value for unsold items. Demand for the product in the consumer market follows a Normal distribution with a mean of 3000 and a standard deviation of 1000. The retailer must determine the quantity to order before actual demand is known. a) What is the optimal order amount for the retailer? b) The supplier offers to buy any unsold product at $5. What is the buyer's optimal order quantity? c) What would be the best buyback offer for the supplier? find the optimal buyback price that the supplier should offer to the retailer so that one does not earn less than the wholesale price contract in part a. (d) What would be the optimal order quantity if both companies were owned by the same person?
An automotive warehouse stocks a variety of parts that are sold at neighborhoodstores. One particular part, a popular brand of oil filter, is purchased by thewarehouse for $1.50 each. It is estimated that the cost of order processing andreceipt is $100 per order. The company uses an inventory carrying charge based on warehouse for $1.50 each. It is estimated that the cost of order processing andreceipt is $100 per order. The company uses an inventory carrying charge based ona 28 percent annual interest rate.The monthly demand for the filter follows a normal distribution with mean280 and standard deviation 77. Order lead time is assumed to be five months.Assume that if a filter is demanded when the warehouse is out of stock, then thedemand is back-ordered, and the cost assessed for each back-ordered demand is$12.80. Determine the following quantities:a. The optimal values of the order quantity and the reorder level.b. The average annual cost of holding, setup, and stock-out associated…
Morgan Stokes, a division 3 collegiate volleyball player, wears a lot of athletic apparel such as shorts, yoga pants, tights, and tops. She loves having the latest styles and colors but likes to save money too. Morgan has discovered that she can purchase the top quality brands such as Nike and Under Armour at Academy Sports + Outdoors. The store is not as large as Dick’s Sporting Goods, but Morgan believes the selection, price point, and level of quality is very competitive. She enjoys purchasing name-brand items at 25% to 30% savings compared to Dick’s Sporting Goods. Which of the following best describes Morgan and her selection of Academy as her preferred store for sports apparel? Morgan Stokes, a division 3 collegiate volleyball player, wears a lot of athletic apparel such as shorts, yoga pants, tights, and tops. She loves having the latest styles and colors but likes to save money too. Morgan has discovered that she can purchase the top quality brands such as Nike and…
Native Customs sells two popular styles of hand-sewn footwear: a sandal and a moccasin. The cost to make a pair of sandals is $18, and the cost to make a pair of moccasins is $24. The demand for these two items is sensitive to the price, and historical data indicate that the monthly demands are given by S = 360 − 9P1 and M = 400 − 20P2, where S = demand for sandals (in pairs), M = demand for moccasins (in pairs), P1 = price for a pair of sandals, and P2 = price for a pair of moccasins. To remain competitive, Native Customs must limit the price (per pair) to no more than $60 and $75 for its sandals and moccasins, respectively. Formulate this nonlinear programming problem to find the optimal production quantities and prices for sandals and moccasins that maximize total monthly profit.
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A retailer has 7 stores in different cities in northern Ontario. The weekly demand for each store follows the normal distribution with a mean value of 60 and a standard deviation of 10. The retailer is planning to use a single centralized store in northern Ontario and they think the demand in the single store will be equal to the sum of the demand in all 7 cities. It takes 3 weeks for the supplier to send the products to the retailer. Calculate the safety stock for the centralized and decentralized cases if the correlation of demands between different cities is 0.3. Assume the planned customer service level is 98%. Please post answer in excel showing formula and answer

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