The Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $14,000/day to operate, and it yields 50 oz of gold and 3,000 oz of silver per day. The Horseshoe Mine costs $16,000/day to operate, and it yields 75 oz of gold and 1,000 oz of silver per day. Company management has set a target of at least 650 oz of gold and 18,000 oz of silver. You boss would like you to focus on the following five issues: 1. How many days should each mine be operated so that the target can be met at a minimum cost? 2. Find the range of values that the Saddle Mine's daily operating cost can assume without changing the optimal solution. 3. Find the range of values that the requirement for gold and silver can assume. 4. Find the shadow price for the requirement for gold and silver.
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- Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. Is Ben Gibson acting legally? Is he acting ethically? Why or why not?Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?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.
- a) For an upcoming red carpet evening, a company is selling tickets at $60 per person at a large theatre which has a capacity of 10,000 people. Each attendant is expected to buy $12 of food and merchandise at the film evening. The cost of providing the food and merchandise is estimated to be $5 per person. All other ancillary services will be provided by the theatre. Initial analysis indicates that the ancillary cost of providing food and merchandise, as well as the staff needed to handle ticket sales, may be described as a semi-variable cost. Data on these costs and tickets sold from three similar events held at the venue have been collected and are tabulated below: Tickets Sold Cost ($) 2100 6640 3824 11284 4650 13525 Use the high-low method to estimate the total cost function relating to these ancillary costs. b) The company will be renting the theatre which will host the upcoming red carpet evening. The budgeted fixed cost of both renting the theatre and paying the…A relatively small privately owned coal-mining company has the sales results summarized below. Determine the annual percentage depletion for the coal mine. Assume the company's taxable income is $125,000 each year. Sales, Tons 34,300 Year Spot Sales Price, $/Ton 1 9.82 2. 50,100 11.5 71,900 11.23 50% of the Gross Depletion Allowed Year taxable Income, $ amount Depletion amount 1. 3.Gator Beach Marts, a chain of convenience grocery stores in the Fort Lauderdale area, has store hours that fluctuate from month to month as the tourist trade in the community varies. The utility costs for one of the company’s stores are listed below for the past six months. Month Total Hoursof Operation Total UtilityCost January 500 $ 2,120 February 600 2,400 March 750 2,850 April 450 2,050 May 400 1,750 June 350 1,650 Required:1-a. Use the high-low method to estimate the cost behavior for the store’s utility costs. Express the cost behavior in formula form (Y= a + bX).1-b. What is the variable utility cost per hour of operation?3-a. Construct an Excel spreadsheet and use the Excel commands to perform a least-squares regression. Estimate the cost behavior for the store's utility cost. Express the cost behavior in formula form.3-b. What is the variable utility cost per hour of operation?4. During July, the…
- The exclusive Swink Golf Driving Range has had astandard price of $15 per hour. The facility has 36 golfing stations,with average usage of 50%, 10 hours a day, 7 days a week. MorganSwink, the owner, would like to enhance revenue. He proposes newpricing at $10 per hour on weekdays and $20 per hour on weekends.He estimates that weekday usage will increase to 60% and weekendusage will remain at 500/o, even with the price increase. Variable costis a consistent $3 per hour. Which strategy is better?Deforrest Marine Motors manufactures engines for the speedboat racing circuit. As part of their annual planning cycle, they forecasted demand for the next four quarters. The number of available days of production and the anticipated demand are given below. Employees Production Rate Production Cost Backorder Cost Overtime Cost Overtime Limit Demand Q1 2,400 6,019,000 They also estimated many of the costs required to conduct operations planning. Some of these key figures are listed below. 30 70 units/employee/quarter Q2 2,200 $1,000/unit $200/unit/quarter $1,500/unit <= 25% of Reg. Production Q3 1,700 Q4 1,800 Hire Cost Fire Cost Subcontracting Cost Subcontracting Limit Inventory Cost Initial Inventory $1,200/employee $800/employee $1,800/unit 400 units maximum $100/unit/quarter 280 units Deforrest Marine Motors wishes to maintain the current number of employees for the entire year to follow a level strategy balanced with inventory and backorders as needed. What is the total cost of this…DAMENTALS%20OF%20PRODUCT NorSal TRONDHEIM NorSal Trondheim operatea a salmon processing facility where fish are purchased from local sources along the North Sea, processed at the facility, and sold to customers for distribution. The plant manager, Inger Hansen, is contemplating a plant modermization to upgrade the technology in the plant. While the plant performs well enough now, modernizing equipment would allow the plant to increase capacity per hour, which is particularly advantageous because the factory has enough demand to cover the additional capacity. Currently, the plant operates seven days a week, three shifts of 20 workers per shift The workers are paid $15 per hour. The firm is contemplating a plant modernization to upgrade existing equipment, which should increase the plant's output while lowering energy costs. Using the current equipment, around 1.500 pounds of salmon can be processed each hour, while the new plant would be able to processed each hour, while the new plant…
- The Soma Inn is trying to determine its break-even point. The inn has 75 rooms that are rented at $60 a night. Operating costs are as follows. Salaries $10,600 per month Utilities 2,400 per month Depreciation 1,500 per month Maintenance 800 per month Maid service 8 per room Other costs 34 per room (a) Determine the inn’s break-even point in (1) number of rented rooms per month and (2) dollars. 1. Break-even point in rooms 2. Break-even point $ per monthK Kim Epson operates a full-service car wash, which operates from 8 A.M. to 8 P.M. seven days a week. The car wash has two stations: an automatic washing and drying station that can handle 30 cars per hour and an interior cleaning station that can handle 210 cars per day. Based on a recent year-end review of operations, Kim estimates that future demand for the interior cleaning station for the seven days of the week, expressed in the average number of cars per day, would be as follows: Kim should not Day Cars should Mon. 160 Tues. 180 Wed. 150 Thurs. 140 Fri. 270 By installing additional equipment (at a cost of $60,000) Kim can increase the capacity of the interior cleaning to 300 cars per day. Each car wash generates a pretax contribution of $3.00. Should Kim install the additional equipment if she expects a pretax payback period of three years or less? install the additional equipment because the payback period is years. (Enter your response rounded to two decimal places.) Sat. 260…The Candle Company plans to open a new retail store in Portland, Maine. The store will sell specialty candles for an average of $10 each. The average variable costs per candle are as follows: Wax $4 Other additives $2 Base $1 The company is negotiating its lease for the new location. The landlord has offered two leasing options: Option A) a lease of $2,500 per month; or Option B) a monthly lease cost of $2,000 plus 10% of the company's monthly sales revenue. The lease option that is more attractive for the company under its current sales expectations is option B, the fixed lease payment plus sales based commission because it results in the lowest total lease costs The indifference point is The company expects to sell approximately 400 candles per month. Requirement 2. At what level of sales (in units) would the company be indifferent between the two lease options? Show your proof. candles. Begin by selecting the equation to determine the indifference point. (Abbreviations used" FC =…