The parallel first-order reactions A → B,A → C have activation energies of 8 and 10 kcal/mole, respectively. In a 1 liter batch reactor at 100°C the selectivity to B is 50% and the conversion is 50% in a reaction time of 10 min with CAo = 1 mole/liter. The solvent is water and the reactor can be pressurized as needed to maintain liquids at any temperature.

(a) What temperature and reactor volume are required to produce 90% selectivity to B at 90% conversion in a CSTR using a feed of 2 molar A at a flow rate of 10 liters/min?

(b) What temperature and reactor volume are required to produce 90% selectivity to B at 90% conversion in a PFTR using a feed of 2 molar A at a flow rate of 10 liters/min?

1, Using rectangles whose height is given by the value of the function at the midpoint of the​ rectangle's base, estimate the area under the graph using the first two and then four rectangles.

f(x)= x³ between x=2 and x=4

A, using two rectangles to estimate, the area under f(x) is approximately = ---------?

B) using four rectangles to estimate, the area under f(x) is approximately= ----------?

2, Using rectangles whose height is given by the value of the function at the midpoint of the​ rectangle's base​ (the midpoint​ rule), estimate the area under the graph of the following​ function, using two and then four rectangles.

y= 100 - x² between x=-10 and 10

A) For two​ rectangles, area =------?

B) For four rectangles, area= ------?

1. You want to study the relationship between fat intake (g/day) and death rate in the Central Valley. Your friend, from PH 109, suggests that you conduct an ecological study first. You found the data and summarized it below. What is the association between fat intake (g/day) and death rate? Explain the ecological fallacy. Please show your scatter plot. (3 points)

1) Capital stocks and resource maintenance

A fishery contains 5,000 tons of fish, and has a 3% annual replenishment rate (that is, 3% is its population growth rate). Assume that 200 tons of fish are harvested at the end of each year.

e) How many years will it take to fully deplete the fishery? Clearly show how you calculated this.
f) Now assume that the annual harvest is only 100 tons. How many tons will be in the fishery after 10 years? Compare to 10 years of harvesting 200/year and discuss.
g) For the fish harvest to be sustainable, what is the largest number of tons of fish that can be harvested each year (starting with the first year)? Explain why this amount does not change.

Explain the impact of the steepening of the yield curve on two bonds portfolios. Both portfolios have equal Macaulay’s duration. The first portfolio is designed as a bullet (100% allocation to the mid-maturity in the yield curve) and the other as a barbell (allocation split between the short and the long maturities in the yield curve). You must demonstrate your answer with an example.

Explain the bullet and barbell strategy and why investor are indifferent between choosing one or the other when no expectations regarding changes in the terms structure.

Explain the link between yield curve flattening or steepening on the two investment strategies.

Show using an example: create the two portfolios and ensure durations are matched.

Explain how when yield curve flattens/steepens the effect on the two strategies.

ABC manufacturing firm, planned and manufactured 10,000 units of its single product in 2017, its first year of operation. Variable manufacturing cost was $40 per unit produced. Variable operating (non- manufacturing) cost was $10 per unit sold.

Planned and actual fixed manufacturing costs were $200,000. Planned and actual fixed operating (non- manufacturing) costs totaled $100,000.

ABC sold 8,000 units of product at $100 per unit.

Find, CM for 2017. Gross profit for 2017. Operating income under direct or variable costing for 2017. Operating income under total or absorption costing for 2017. Inventory under direct or variable costing for 2017. Please show calculations.

Write a Java program that implements the Number Guessing Game:

1. First generate a random number (int) between 0 and 100, call it N

2. Read user input (a guess)

3. check the number, if it's smaller than N, output "The number is larger than that"

4. If the input is larger than N, output "The number is smaller than that"

5. If the input is equal to N, output " You got it!", and exit

6. Repeat until the user guesses the right number.

------- PART 2 : ---------------------

1. Modify the program to limit the number of user guesses to 7 (stop after 7 trials)

------- OPTIONAL : --------------------

2. Modify the program to change the role of the user and program (the user picks a number, and the program tries to guess what it is)

An experiment was conducted to test the effect of a new drug on a viral infection. After the infection was induced in 100 mice, the mice were randomly split into two groups of 50. The first group, the control group, received no treatment for the infection, and the second group received the drug. After a 30-day period, the proportions of survivors, p̂₁ and p̂₂, in the two groups were found to be 0.38 and 0.62, respectively.

(a) Find the test statistic and rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

(b) Use a 95% confidence interval to estimate the actual difference (p₁ − p₂) in the survival rates for the treated versus the control groups. (Round your answers to two decimal places.)

Wholesale of electronic chips receives products from two factories, factory A provides 60%
Of the goods and Factory B supplies 40% of the goods.
From past experience it is known that 20% of the chips of plant A are defective.
It is also known that 50% of all defective chips are supplied by plant B.

A. What percentage of Factory B's chips are defective?

B. What is the probability that a chip that is found to be in good condition is supplied by plant B?
third

C. One after the other, screws supplied from Factory B are sampled. What is the span and variance of the number of chips
That they will have to check until the first invalid is found?

D. Sample 100 chips at random, what is the probability that at least 36 of them are normal chips
Provided by Factory B?

Organizational Effectiveness and Development Scenario (Human Resources)

A small, family-run organization has always pursued a differentiation strategy that emphasizes quality and customer service. The CEO decides to retire and sell the business to a mid-sized competitor who has always employed a cost leadership strategy. As part of the sale agreement, the CEO insists that all current employees be retained. Within four months of the acquisition, the VP of HR sees that almost 40% of the acquired employees have left the organization, taking critical knowledge with them. If this continues, it will affect customer service.

1. What type of OED( Organizational Effectiveness and Development) intervention should the VP of HR consider first? ( support the answer with appropriate reasoning as per the above scenario with 100 words)