In what direction will the water activity of a liquid food change (higher, lower, or virtually unaltered) if the following changes occur, keeping other factors constant? In each case give an explanation.

1. Addition of sodium chloride

2. Addition of native starch (granules)

3. Heating the food with starch and cooling again to the original temperature without loss of water

4. Enzymatic hydrolysis of the protein present

5. Emulsifying oil into it

6. Freezing part of the water

Imran has $158 to spend on goods x and y. His utility function is given by U(x,y)=min{1x,5y}. The unit price of good y is $2. The unit price of good x is initially $1, but then changes to $7.

What is the income effect of the price change on the consumption of good x?

Enter a numerical value below. You may round to the second decimal if necessary. Include a negative sign if the answer involves a decrease in quantity.

In the following Table you are given information on Real GDP and Nominal GDP.

Compute the percentage change in Nominal GDP from 1970 to 1980 (15 points) and the percentage change in Real GDP (15 points) from 1970 to 1980.

Where do you attribute the difference between the two percentage changes?

Taking a gas to be ideal and confined to a rigid metal box, find an expression for how quickly the mean free path of said gas changes if the temperature is dropping cubically with time (​T​=​T​0- At^3) If the initial pressure of the gas is 105 Pa, the intermolecular radius is 2 Ångström, and the initial temperature is 325 K and drops 1 K in the first second, what is the rate of change of the mean free path with respect to time after 6 seconds?

People are revolting against the work culture at Amazon regarding the pay and work-life balance. Do you think that the organizations need certain changes to overcome it as workers are protesting for unions to safeguard their interest

Rational Do you need a new organisation structure?

Do you need new systems?

Will you need new processes?

Non-rational

What relationships will change?

Will the culture embrace or reject this change?

How will the stakeholders share information and transfer knowledge?

1. What is the space of analysis of the multiplier model? What is the significance of the 45 degree line in the Aggregate Production curve? Draw an aggregate production curve.

3. What is the slope of the Aggregate Expenditure function? What is its significance?

4. Show equilibrium in the Keynesian multiplier model. Identity the stability of equilibrium using the notion of unintended inventory changes.

5. Write the formula for the multiplier and identify the algebraic condition of the change in aggregate expenditure with respect to the change in real income.

An investment with an initial deposit of $12,993 is growing at an interest rate of 3.22% compounded quarterly. Round all answers to two decimal places if necessary.

1. Find the accumulated amount of the investment at the end of 3 years.

2. The interest rate changes to 4.85% compounded monthly after the first 3 years. Calculate the accumulated amount in this investment at the end of year 6.

3. Find the total amount of interest accumulated during the entire 6 years of the investment.

An air-filled parallel-plate capacitor with plate separation d and plate area A is connected to a battery that applies a voltage V₀ between plates. With the battery left connected, the plates are moved apart to a distance of 10d. Determine by what factor each of the following quantities changes: (a) V₀; (b) C; (c) E; (d) D; (e) Q; (f ) ρ_S; (g) WE. Repeat the exercise for the case in which the battery is disconnected before the plates are separated.

Suppose the incidence rate of myocardial infarction (MI) was 10 per 1000 among 45- to 54-year-old men in 1990. To look at changes in incidence over time, 3000 men in this age group were followed for 1 year starting in 2000. 40 new cases of MI were found. Using both rejection region and p-value approach with α = .05, test the hypothesis that incidence rates of MI changed from 1990 to 2000.

Suppose a closed economy has a consumption-output ratio of 0.8. Total output is 1 Billion in 2018 and the capital stock equals 5 Billion. It's depreciation rate and population growth rate are both equal to 2%. What is true in 2019?

income will have grown

consumption will take an even larger share of output

we do not have enough information to calculate changes from 2018 to 2019

the capital stock must be smaller than in 2018