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Obtain the inverse laplace transform of the given function.
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- A forest consists of two types of trees; young (between 0 and 3 m tall) and adults (more than 3 m). Each year, 20% of young trees die, 10% sell for $20 each, 30% remain between 0 and 3 m, and 40% grow taller than 3 m. Each year, 40% of adult trees sell for $50, 20% sell for $20, 30% remain in the forest, and 10% die. What percentage of the trees planted sell for $50?d,e only Last 2 parts ,plz asap will definitely upvote2.1 Last 3 parts Provide solution for d,e,f parts
- Y9 RMC, Inc., is a small firm that produces a variety of chemical products. In a particular production process, three raw materials are blended (mixed together) to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2⁄5 ton of material 1 and 3⁄5 of material 3. A ton of solvent base is a mixture of 1⁄2 ton of material 1, 1/5 ton of material 2, and 3⁄10 ton of material 3. After deducting relevant costs, the profit contribution is $40 for every ton of fuel additive produced and $30 for every ton of solvent base produced. RMC's production is constrained by a limited availability of the three raw materials. For the current production period, RMC has available the following quantities of each raw material: Raw Material Amount Available for Production Material 1 33 tons Material 2 9 tons Material 3 36 tons Assuming that RMC is interested in maximizing the total profit contribution, answer the following. (Assume F is the number of…1. XYZ, Inc., is a small firm that produces a variety of chemical products. In a particular production process, three raw materials are blended (mixed together) to produce two products: a fuel additive and a solvent base. Each kg of fuel additive is a mixture of 2⁄5 kg of material 1 and 3⁄5 of material 3. A kg of solvent base is a mixture of 1⁄2 kg of material 1, 1⁄5 kg of material 2, and 3⁄10 kg of material 3. After deducting relevant costs, the profit contribution is P20 for every kg of fuel additive produced and P15 for every kg of solvent base produced. XYZ’s production is constrained by a limited availability of the three raw materials. For the current production period, XYZ has the following available quantities of each raw material: Raw Material Amount Available for ProductionMaterial 1 20 kgMaterial 2 5 kgMaterial 3…I want a solution to the attached Quwstion.?
- You can sell 60 pet chia per week if they are marked as $1 each , but only 50 per week if they are marked $2 per chia. Your chia supplier is prepared to sell you 10 chias per week if they are marked $1 per chia, and 20 per week if they are marked $2 per chia. At what price should the chias be marked so that there is neither surplus nor a shortage of chias?dt | 1 = sectA forest consists of two types of trees: those that are 0-5 ft and those that are taller than 5 ft. Each year, 40% of all 0-5-ft tall trees die, 10% are sold for $10 each, 30% stay between 0 and 5 ft, and 20% grow to be more than 5ft. Each year, 50% of all trees taller than 5ft are sold for $40, 20% are sold for $20, and 30% remain in the forest (continue growing). If a tree (less than 5 ft) is planted, what is the expected revenue earned from that tree ? Select one:a. $11.22b. $19.80c. $14.16d. $17.44e. $16.34f. $15.51
- Suppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…A life insurance company has 1,500 policies averaging Rs. 2,000 on lives at the age 30. From the past experience, it is found that out of 1,00,000 alive at the age of 30; while 99,000 are alive at age 3 Find the lower and the upper value of the amount that the company will have to payout in insurance during the year.