How do you draw a decision tree and find a decision strategy?

## Applied Mathematics Question explain why this removed the digit cancelation problem that the original

explain why this removed the digit cancelation problem that the original equation would have had

## Applied Mathematics Question Machine precision can be computed by the following program. Run the

Machine precision can be computed by the following program. Run the program and prove its validity.

## Applied Mathematics Question JAC produces two types of products (Standard and Trimline), each of

JAC produces two types of products (Standard and Trimline), each of which must go through three workstations for manufacturing, assembly and quality control. The amount of time required for each model in each of the work areas is given in the flowwing table:Model Manufacturing Assembly Quality Control-Standard 7 min 3 min 2 min-Trimline 2 min 5 min 3 minRing Telephones employs ten workers, who each work a 7.5 hour day. Of these times, 1400 man-minutes per day have been allocated to manufacturing, 2100 to assembly and 1000 to quality control. Accounting has stated that the cost of each Manufacturing minute is $0.45, each Assembly minute $0.25 and each Quality Control minute $0.10 (for a Standard Model). For the Trimline Model, the costs are $0.55, $0.25 and $0.15, respectively. If Ring Telephones sells for $2 the standard models and $4 the Trimline models:A) Formulate the model in standard formB) What should be the optimal daily production schedule?

## Is the conditional statement “If a human being has 7 heads, then they have 11 arms” true or false?

Is the conditional statement “If a human being has 7 heads, then theyhave 11 arms” true or false? Explain.

## Applied Mathematics Question Explain the purpose and function of financial statements.

Explain the purpose and function of financial statements.

## Applied Mathematics Question Define and describe ratios. Provide an example of ratios.

Define and describe ratios. Provide an example of ratios.

## Dorian Auto is considering manufacturing three types of autos: compact, midsize and large. The resources required for, and the profits yielded by…

Dorian Auto is considering manufacturing three types of autos: compact, midsize and large. The resources required for, and the profits yielded by each type of car are shown in the next table: Compact Midsize Large Steel required (tons) 1.5 3 5 Labour required (hours) 30 25 40 Profit yielded (thousands of £) 2 3 4 At present, 6000 tons of steel and 60,000 hours of labour are available. For production of a type of car to be economically feasible, at least 1000 cars of that type must be produced. i. Formulate an Integer Programming (IP) problem to maximise Dorian’s profit. (20% of marks) ii. An additional contract constraint requires cars to be produced in batches of 1000 cars (i.e. the number of cars of each type produced can take values 0, 1000, 2000,…). By using the enumeration method, find the optimal solution to this modified IP problem. (20% of marks) iii. Is the optimal solution found in (ii) a feasible solution for the set of constraints you have formulated in (i)? (10% of marks)

## NW Food Ltd produces dried apples, bananas and plums.

NW Food Ltd produces dried apples, bananas and plums. Each batch of dried apples, bananas and plums requires 39kg, 24kg and 45kg of the fresh fruit, 6 hours, 3 hours and 6 hours in the dehydrator and can make a profit of £40, £22 and £42, respectively (as summarized in the table below). The company has a total of 75 dehydrator hours available. Its delivery service can only deliver 600kg of fresh fruit of any mix to the company each day. A local supermarket has signed a contract with the company to buy 15 batches of the dried fruit of any type each day. The company operations manager wishes to maximize the profit per day and has asked you to help him to decide how many batches of each type of the dried fruit to produce. Your tasks are as follows. Dried Apples Dried Bananas Dried Plums Fresh fruit required to make a dried batch (kg) 39 24 45 Dehydrator hours required (hours) 6 3 6 Profit per batch (£) 40 22 42 i) Formulate the decision-making task as a linear programming problem, indicating clearly the decision variables, the objective function and the constraints on the solution. (25% of the marks for this question) ii) Use the Simplex Method to solve the problem. (25% of the marks for this question) iii) Interpret your solution found in ii) for the operations manager. (15% of the marks for this question) iv) If your solution suggests that the operations manager should not produce a particular type of dried fruit, explain to him why this is so in terms of the problem situation, and under what conditions this type of dried fruit would be worth considering. (15% of the marks for this question) v) Having seen your figures for the optimal production plan, the operations manager states that he wants to increase the daily profit by £10. Which resources should the operations manager try to increase? How many options does he have? For each option, how much extra resource would be required and what would be the new optimal policy? (20% of the marks for this question)

## AT 25 years old you decide to put aside $80 a month into a retirement annuity that pays 2.5 % compounded monthly. how much will yo have saved after

AT 25 years old you decide to put aside $80 a month into a retirement annuity that pays 2.5 % compounded monthly.how much will yo have saved after 40 years?what is the interest?

## Applied Mathematics Question The price of a home is $220,000. The bank requires a

The price of a home is $220,000. The bank requires a 20% down payment. After the down payment, the balance is financed with a 30 year fixed mortgage at 4.25%.Determine the cost of payment monthly?Find the total cost of interest over 30 years?

## Applied Mathematics Question A small pizzeria has mushrooms, pineapple, ham,pepperoni, olives, sausage and onions

A small pizzeria has mushrooms, pineapple, ham,pepperoni, olives, sausage and onions for pizza toppings. This pizzaria has 5 employees.How many ways can the pizza topping be arranged?This pizzeria is only open for 4 hours a day from 6-10 pm. Each day 2 employees work together. In how many ways can 2 of the employees be selected to work on a given night?

## Applied Mathematics Question Someone needs to borrow $10,000 to buy a car and the

Someone needs to borrow $10,000 to buy a car and the person has determined that monthly payments of $200 are affordable. The bank offers a 4-year loan at 77% APR, a 5-year loan at 7.5%, or a 6-year loan at 8% APR. Which loan best meets the person’s needs? Explain.go over steps as well

## In the pair of supply and demand equations below, x represents the quantity demanded in units of a thousand and p the unit price in dollars, find the…

1.In the pair of supply and demand equations below, x represents the quantity demanded in units of a thousand and p the unit price in dollars, find the equilibrium quantity and the equilibrium price.p = 73 − 4×2 and p = x2 10x 33What is the equilibrium price? 2.f(x) = x − 6 if x ≤ 3 −2x 3 if x > 3Evaluate the following limit for a = 3. (If an answer does not exist, enter DNE.) lim f(x)=x→a

## f ( x ) = x 6 if x 3 -2 x 3 if x > 3 Evaluate the following limit for a = 3 . (If an answer does not exist, enter DNE.) limf(x)= x a 2.

-2x 3 if x > 3Evaluate the following limit for a = 3. (If an answer does not exist, enter DNE.) lim f(x)=x→a 2.In the pair of supply and demand equations below, x represents the quantity demanded in units of a thousand and p the unit price in dollars, find the equilibrium quantity and the equilibrium price.p = 73 − 4×2 and p = x2 10x 33What is the equilibrium price?3.The demand equation for the Roland portable hair dryer is given as follows where x (measured in units of a hundred) is the quantity demanded per week and p is the unit price in dollars. x=1/4(256-p^2) (0<=p<=15) When is the demand unitary? (Round your answer to two decimal places.) (Hint: Solve E(p) = 1 for p.)p = ??4.During testing of a certain brand of air purifier, the amount of smoke remaining (as a percent of the original amount) t min after the start of the test was given by the following function.A(t) = -0.00006t5 0.00468t4 - 0.1138t3 1.552t2 - 17.63t 94Compute the following values.A'(10) =A''(10) =5.a Determine where the graph of the function is concave upward and where it is concave downward. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or ∅.)g(x) = −x2 4x 5 5.b Determine where the graph of the function is concave upward and where it is concave downward. f(x) = 2root(3)(x)