Develop the nonlinear profit function as a function of price.
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Andy Mendoza makes handcrafted dolls, which he sells at craft fairs. He is considering mass producing the dolls to sell in stores. He estimates that the initial investment for plant and equipment will be
$10,000, while labor, material, packaging, and shipping will be about $8 per doll. He has determined that monthly sales volume is related to price, according to the following equation: v=5000-90p.
Develop the nonlinear profit function as a function of price.
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- Assume the demand for a companys 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 sold for 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.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.It costs a pharmaceutical company 75,000 to produce a 1000-pound batch of a drug. The average yield from a batch is unknown but the best case is 90% yield (that is, 900 pounds of good drug will be produced), the most likely case is 85% yield, and the worst case is 70% yield. The annual demand for the drug is unknown, with the best case being 20,000 pounds, the most likely case 17,500 pounds, and the worst case 10,000 pounds. The drug sells for 125 per pound and leftover amounts of the drug can be sold for 30 per pound. To maximize annual expected profit, how many batches of the drug should the company produce? You can assume that it will produce the batches only once, before demand for the drug is known.
- The original cost for a distillation tower is $24,000 and the useful life of the tower is estimated to be 8 years. The sinking-fund method for determining the rate of depreciation is used and the annual interest rate for the depreciation fund is 6 percent. If the scrap value of the distillation tower is $4000, determine book value of equipment at the end of 5 years. Notice: If you can't find exponent (x), you can use the value 0.6As a potential owner of a club known as Club Salida, you are interested in determining the necessary volume of sales in dollars to reach the breakeven next year. You decided to break down the club's sales into. four categories, where beer is the first. Your estimate of the sale of beer is that it will serve 30,000 servings. The selling price per unit will average $ 1.50; its cost is $ .75. The second category is food, of which you expect sell 10,000 units with an average unit price of $ 10.00 and a cost of $ 5.00. The third category is desserts and wine, of which you also hope to sell 10,000 units, but with an average unit price of $ 2.50 and a cost of $ 1.00. The last category is inexpensive lunches and sandwiches, of which you expect sell a total of 20,000 units with an average price of $ 6.75 and a cost per unit of $ 3.25. Your fixed costs (i.e. rent, utilities, etc.) are $ 1,800 a month plus $ 2,000 a month for entertainment. a) What is your breakeven point in dollars per month? b)…PROBLEM The Seminole Company wishes to apply the Miller-Orr model to manage its cash investment. Seminole’s management has determined that the cost of either investing in or selling marketable securities is $200. By looking at Seminole Company’s past cash needs, they have determined that the variance of daily cash flows is $10,000. Seminole Company’s opportunity cost of cash, per day, is estimated to be 0.05%. Seminole management has figured, based on their experience dealing with the cash flows of the company, that there should be a cushion— a safety stock—of cash of $20,000. 1. How much is the variance of daily cash flows? (Use a number, no decimal value, no commas, no currency, no space) * 2. How much is the opportunity cost of cash, per day? (Use a number, must be in decimal form. eg. 6.3%/100, encode 0.063 , no commas, no currency, no space) * 3. How much is the cost per transaction? (Use a number, no decimal value, no commas, no currency, no space) * PLEASE ANSWER ALL QUESTIONS.…
- Muscat Distribution Electricity Company (MDEC) is going to perform energy audits on homes that are at least 28 years old. MEDC estimates that homeowner can save 9 RO per square meter annually as the result of energy conservation upgrades that include wall and roof insulation, window glazing, shading, and efficient air conditioning and lightning. 13 years is the expected lifetime of these upgrades, and the annual interest rate is 9%. How much is justified to spend on this project for a 219 square meter built up area home.Global Logistics needs to rent space for storing product for the next three years. The following information regarding the demand and spot price is available. Current demand for the product is 150,000. Historically, Global Logistics has required 1500 square feet to store 1500 units of the product. Demand for the product can go up by 20% with a probability of 0.7 or down by 20% with a probability of 0.3. Global Logistics can sign a three-year fixed lease to rent 150,000 square feet of space at $1.00 per square foot per year. The firm may also choose to obtain warehousing space on the spot market. The current spot market price is $1.20 per square foot per year. The spot price can go up by 10% with a probability of 0.8 and can decrease by 10% with a probability of 0.2. The firm receives a revenue of $1.22 for each unit of demand. a) Create a decision tree showing period 0, 1 and 2 for the scenario described above. b) Calculate the NPV for the option when the firm decides to sign a…The owner of a greenhouse and nursery is considering whether to spend $6,000 to acquire the licensing rights to grow a new variety of rosebush, which she could then sell for $6 each. Per-unit variable cost would be $3. How many rosebushes would she have to produce and sell in order to break even?
- Phillip Witt, president of Witt Input Devices, wishesto create a portfolio of local suppliers for his new line of keyboards.As the suppliers all reside in a location prone to hurricanes,tornadoes, flooding, and earthquakes, Phillip believes thatthe probability in any year of a " super-event" that might shutdown all suppliers at the same time for at least 2 weeks is 3%.Such a total shutdown would cost the company approximately$400,000. He estimates the " unique-event" risk for any of thesuppliers to be 5%. Assuming that the marginal cost of managingan additional supplier is $15,000 per year, how many suppliersshould Witt Input Devices use? Assume that up to three nearlyidentical local suppliers are available.A new electric power generation plant is expected to cost $42,000,000 to complete. The revenues generated by the new plant are expected to be $3,875,000 per year, while operational expenses are estimated to be $2,000,000 per year. The plant will last 40 years, and the electric authority uses a 3% interest rate. Determine if the plant will be able to recover its investment using the following methods: a. IRR (show your solution for interpolation; use 5 decimal places for the interpolation procedure) b. Payback periodRay Holt seeks an investment for his new business. The investor will bear all the costs(fixed + variable) and wants a rate of return of at least Y%. For the business fixed cost is Fc, selling price of a unit is Sp, and Cost of production of a unit is Cp. How many units, x, should Ray Holt maketo meet the investor’s rate of return requirement? If the requested rate of return is 10%, fixed cost is $10,000, selling price is $5, and cost of production is $3, how many units should be made?