A researcher studying the nutritional value of a new candy places a 5.30 g sample of the candy inside a bomb calorimeter and combusts it in excess oxygen. The observed temperature increase is 2.40 °C. If the heat capacity of the calorimeter is 37.40 kJ-K, how many nutritional Calories are there per gram of the candy? Calories per gram of candy: 16.94 I TOOLS ΧΙΟΥ Cal/g
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- A patient with a brain tumor is undergoing a gamma knife treatment (see Section 31.4). Multiple sources of 60Co emit two gamma rays with a total energy of 2.50 MeV. If the activity of all the sources combined is 5.00 mCi, what is the biologically equivalent dose delivered to the brain tumor in one hour? The mass of the tumor is 0.150 kg. Since the half-life of 60 Co is 5.27 yr, we can assume the activity remains constant during the procedure. Number UnitsA recognized pharmaceutical company buys and sells a dangerous chemical. This substance is purchased once a month at the beginning of this because its shelf life is one month. If there is any amount of the substance left at the end of the month, the laboratory hires the services of a specialized company to dispose of the product. This company charges $ 1000 for each kilogram of substance handled. The cost of the substance is $ 3,000 / kg and the selling price is $ 12,000 / kg. If there is no substance available when a customer requires it, the laboratory incurs a cost of $ 10,000 / Kg because its policy is to always satisfy the demand. The $ 10,000 includes the cost of the product and the cost of transportation to supply the product in a very short time. The monthly demand follows a triangular distribution (10,40,60). Calculate the optimal order quantity.Suppose a baker wants to know, on average, how many pastries they sell in a day. They sampled over 4 days. On the first day they sold 10, on the second day they sold 12, on the third day they sold 18, and on the fourth day they sold 16. The population standard deviation of pastry sales is 3. What is the point estimate (average) number of pastries sold? 26 08 056 O 14 Nex
- Parasite Engineering is developing a new product for the parasitic market that services parasites. The opportunity is estimated to be worth $1.0B measured in today’s dollars. The company will need to spend $500M today to begin the research. In five years, the company will have to make a decision as to whether to go into full scale production and begin selling the drug. At that time, the company estimates it will cost $1.5B to move forward. If the appropriate risk-free rate is 2.5%, how high must the annual volatility be to make the project worth beginning?If the farmer uses pesticides he expects a crop of 60,000 bushels; if he does not use pesticides he expects a crop of 50,000 bushels. The cost of pesticides is $30,000 and the other costs associated with planting and harvesting the crop total $450,000. The price of corn at harvest time will either be $9.00 with probability of 0.50 or it will be $11.00 with probability 0.50, so if the farmer decides to sell the crop at harvest, the expected price per bushel that he will receive is $10.00. If the farmer uses pesticide and decides to sell the crop at harvest, what is his expected profit? a. $120,000.00 b. $150,000.00 c. $180,000.00 d. $20,000.00100 mL of a 0.1 M solution is titrated with 50 mL of 0.1 M NaOH. The new solution has a pH of 4.75. Upon addition of 10 mL more of 0.1 M NaOH, the pH of the solution is 5.00. a. What is the identity of the original 100 mL 0.1 M solution? HCI O NaOH O acetic acid water KOH
- A beauty product company is developing a new fragrance named Happy Forever. There is a probability of 0.51 that consumers will love Happy Forever, and in this case, annual sales will be 1.09 million bottles; a probability of 0.39 that consumers will find the smell acceptable and annual sales will be 193,000 bottles; and a probability of 0.10 that consumers will find the smell unpleasant and annual sales will be only 45,000 bottles. The selling price is $36, and the variable cost is $11 per bottle. Fixed production costs will be $1.00 million per year, and depreciation will be $1.21 million. Assume that the marginal tax rate is 40 percent. What are the expected annual incremental after-tax free cash flows from the new fragrance? - Annual increment cash flows?A farmer can buy two types of plant food, mix A and mix B. Each cubic yard of mix A contains 20 pounds of phosphoric acid, 30 pounds of nitrogen, and 5 pounds of potash. Each cubic yard of mix B contains 10 pounds of phosphoric acid, 30 pounds of nitrogen, and 10 pounds of potash. The minimum monthly requirements are 420 pounds of phosphoric acid, 960 pounds of nitrogen, and 210 pounds of potash. If mix A costs $20 per cubic yard and mix B costs $40 per cubic yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum cost? What is this cost? If mix A costs $20 per cubic yard and mix B costs $40 per cubic yard, the farmer should blend yd of mix A and yd of mix B to meet the minimum monthly requirements at a minimum cost.A beauty product company is developing a new fragrance named Happy Forever. There is a probability of 0.50 that consumers will love Happy Forever, and in this case, annual sales will be 1.00 million bottles; a probability of 0.36 that consumers will find the smell acceptable and annual sales will be 218,000 bottles; and a probability of 0.14 that consumers will find the smell unpleasant and annual sales will be only 53,000 bottles. The selling price is $36, and the variable cost is $8 per bottle. Fixed production costs will be $1.06 million per year, and depreciation will be $1.20 million. Assume that the marginal tax rate is 27 percent. What are the expected annual incremental after-tax free cash flows from the new fragrance? (Round answer to O decimal places, e.g. 5,275.) Annual incremental cash flows
- A large bakery buys sugar in 50-kg bags. The bakery uses an average of 1,344 bags a year. Preparing an order and receiving a shipment of sugar involves a cost of $135. Annual carrying costs are $630 per bag. The bakery operates 280 days per year. Lead time = 2 weeks. Determine the economic order quantity. What is the average number of bags on hand? When should the bakery order for more sugar? How many times per year will the bakery order for sugar?Leaf's Paper Company is planning to launch a new notebook product that is water resistant. The company wants to sell 30,000,000 of the new notebooks next year and wants to know what trial rate is required to achieve this goal. The market research group forecasts an awareness rate of 73% and an AČV% of 52%. Of those that try the product by purchasing 1 notebook, 24% will repurchase 5 notebooks per year. There are 180,000,000 notebook consumers in the target market. Total fixed costs to Leaf Paper Company to manufacture this new notebook are $10,000,000, with variable costs of $2.73 per notebook. What trial rate is required to achieve the company's goal?A newspaper is considering buying locked vending machines to replace open newspaper racks in the downtown area. The vending machines cost $75 each. It is expected that the annual revenue from selling the same quantity of newspapers will increase $12 per vending machine. The useful life of the vending machine is unknown. (a) To determine the sensitivity of rate of return to useful life, prepare a graph for rate of return versus useful life for lives up to 10 years. (b) If the newspaper requires a 15% rate of return, what minimum useful life must it obtain from the vending machines? (c) What would be the rate of return if the vending machines were to last indefinitely?